# Basic Trigonometry: Sin Cos Tan (NancyPi)

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Published on May 15, 2018 by

SIN COS TAN: If you have a right triangle with side lengths given and an angle (theta), you can easily find the sine, cosine, and tangent trigonometric functions. Remember that the longest side of the triangle is the 'HYPOTENUSE', the side directly opposite theta is the 'OPPOSITE', and the other side next to theta is the 'ADJACENT' side.

Once you've identified the hypotenuse (H), adjacent (A), and opposite sides (O), you can find Sin, Cos, and Tan using these trigonometric ratios:

Sin of theta = Opposite over Hypotenuse (SOH)
Cos of theta = Adjacent over Hypotenuse (CAH)
Tan of theta = Opposite over Adjacent (TOA)

The mnemonic SOH CAH TOA can help you remember which sides to use for the sine, cosine, and tangent trig ratios. For instance, SOH stands for Sin = Opposite over Hypotenuse

CSC SEC COT: If you need to find one of the other three trig functions (cosecant, secant, or cotangent), the easiest way to find them is to first find Sin, Cos, or Tan and then take the reciprocal (or flip) the fraction, since:

Csc = 1 / Sin
Sec = 1 / Cos
Cot = 1 / Tan

For example, if you find that Cos of an angle is equal to 3/5, the Sec of that angle would be equal to 5/3.

For more of my mathematics videos, check out: http://nancypi.com

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• Thanks Nancy! <3

• Her hottt what? I bet you’re talking about her markers aren’t you?

• Looks like Olive Oyl.

• of all places you can go to make this comment you make it on a math video

• @Owari Chan lol all the comments are like: thanks for the help! and then there is this guy…

• you’re*

• that SohCahToa stuff….man those were the good days

• What u talkin about, we struggling here

• @Sid real talk

• @Sid real talk (2)

• What I have understand from those sight is that if you see a number, for example 4/3 you are going to switch them to opposite side which can be 3/4

• This video would have been really helpful 3 months ago. Thanks for this anyway it was still very helpful.

• Geometry class? Same case for me

• Trigonometry.

• Hi there flash fan

• Nancy is on a roll 😍
I’m going into Calculus I in a few weeks
Pray for me 🙏🏻

• Just stay calm, that’s the secret to Math. Nancy’s cool, calm and collected like most mathematicians, go be likewise.

• RIP

• Calc seems harder than it actually is

• @UnderBridge Rock Well I mean, it’s not like they can do anything other than be cool, calm and collected? It’s not as if they’re screaming in their minds and panicking about the numbers lmao. It’s just an understanding! Understand it and you’ll be fine lol. Faking the “cool, calm and collected”ness won’t do anythinggg. I find it kinda funny that you said “like most matthematicians”, implying that some are freaking out while they understand it? xD. Maybe I misunderstood, but I just wanted to point out something funny haha.

• i know this is two years later but good luck

• Oh. My. God! Welcome Back Nancy!

• Yay

• Any Trig identity videos coming Nancy?

• That is in her psychology videos “Trig Identity problems”!

• ♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

• I want double and half angle identities of trigonometric functions and sum differences to product and vice versa can you help me?

• we all want a lot of things

• Please forgive my ignorance—of what use is all of this? And what is a “θ?”

• Grover Smittle that symbol means it is an unknown angle, also I have no idea why any human would need this information to complete life but here I am revising it for a test tomorrow so good luck me

• Trig shows up all over science and engineering fields.

• I used trig working at Home Depot when a customer wants to have windows which follow the pitch of the roof. They often want to order windows that look like a triangle which has been split in half. If you have the roof pitch, overall base length and distance between the two windows, you can find the size of the smaller window opposite leg as well as use it to find the height of the long and short leg of the trapezoid window.

• It’s called theta and it is just representing an angle

• @PixelCraft Style i fell the same way.

• If Nancy were my math teacher, and I didn’t already know the subject matter, I would have probably gotten an F, because I would have been _so_ focused on her (and distracted by my own arousal), I wouldn’t have been able to devote any attention to what she was teaching. Luckily, I already learned this stuff _way_ back in Grade 10.

And my pupils would have been _so_ dilated while in her presence, that she would have thought I was on LSD. 😉

• Thank you so much

• BTSLOVERS Forever army💙

• Thank you Nancy. 🙂

• Helpful video but i really need help on advance trigonometry such as proving double angles 🙁 i hope u could help me

• Wow good to see you back on Youtube. Your videos are some of the best math instruction videos on here.

• THANK You So MUCH

• SO you write in reverse? wow

• @li Jiu word

• @Potassium Chloride she is using a glass to right on and she really using her right hand

• She’s writting on glass- and the camera is put on the other side of the glass boo

• @Sam T No, she’s writing backward because English is written right to left. She’s an alien because she can do that. She’s part of the 0.000056 percentile

• Inverse function

• Love you nancy.

• Thank you Nancy.

• I love teaching trig. Teachers seem to complicate it SO much and I just wonder how!?! 😫

• Because the longer they faff about teaching the more they get paid and the less work they are doing in terms of brainpower. The same brainpower spread over an inordinately long time period. Driving instructors do the exact same thing.

• Could you please make a video about unit circles and how to solve trig questions using them?

• Damn you are hot….

• Im not paying attention to the math. I’m paying attention to her lips and her gorgeous face

• hi nancy

• Using these vids to refresh my memory. They are Perfect!

• Yes, yes she sure is.

• I like the fact that you take your time; it gives me time to process what I’m learning.

• I actually watched it at 1.25 😂

• That. And you don’t have 23 to 31 other little shits distracting both you and her.

• @K. Panther Lmao😂

• That’s fact

• Am i the only one, who thinks she write in backwards? 🤔

P.s Thank you 🙂

• Isn’t she writing backwards?

• she’s left handed

• @GContreras20bfsla She is in a 6 dimensional pocket dimension that she created through her understanding of Math! It only appears right side up to us, they are actually runes of power!

• the video is inverted people

• I wish i had a teacher like her. Thank you. Greetings from Brazil 🙂

• <3 thank you Nancy<3

• syr cxr tyx, I cant spell soh I came up with m own thing.

• are you right or left handed?

• thanks

• 👍👍👍👍👍👍

• where’d our trig sub vid go tho Nancy????

• Thank you Nancy! Very helpful

• I clicked on this because Nacy is very Attractive 🤙🏽

• Me too😂😂…she is also a great teacher

• 😁😁😁 ur think is smart and u r too more beauty…

• Wow this is the best presentation I’ve seen.

• Thank you so much! I missed the lesson in class,but thank god i have found your channel!this is the first time that i understand a math lesson without asking a teacher..appreciated!💜

• sorry i cant
focus

• Best math teacher ever.

• A bit of constructive criticism i hope,
is that you would talk faster or more energetically. I found my self skipping a lot cause how slow things are. and maybe also explaining what are sin cos tan initially, like why are they even there. but overall! thank you for the info, it helps a lot!

• i love math now

• Does anyone else notice how at 1:40 she seems bothered by “hypotenuse” not being centered lol, she has a lot of left over blank space, then shes just like fuck it and continues.

• SOH = COS
CAH= SEC
TOA= COT

• I actually miss Nancy

• Im not in trig but your voice is really relaxing when i go to bed

• lmao yea

• please make another q and a video and answer this question…”are you left or right handed?”

• Smart and beautiful. I am falling in love… can’t… stop…wa…tching…. <3

• Spectral Arts simp

• Excellent

• Gosh youre hot😍😍😍

• عشكت الرياضيات من وراج🐸💔

• I can watch you work all day long. God you are the most distracting lady I ever saw. Even if you uploaded a video of you just sitting, i would watch it

• uau!Wanderfull teacher.Merread with me ???

• oh ! 999 likes My like turn to 1K Oh ! as well valued your knowledge – science !

• So helpful ! thank you so much

• I LOVE learning with this woman. She makes it easy and I can focus on the problem. Really wonderful teaching skills.

• Wow, u write reverse.

• It was super helpful but I’d lv if u cd be much faster☺️

• How come my trig teachers were never this cute?

• My math teacher is over weight

• You obviously went to a male-only school!

• simp

• 0 Subscribers With No Videos Challenge how do u have 8k subs with no vids 😂. Good job man. U did it

• Simp

• You taught me a very very nice trick thanks for this video lots of love and respect from india

• Smart and gorgeous.

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• I am not sure if I was concentrating on you or the maths. But either way, you rock!

• Drop dead gorgeous, intelligent MIT grad, who writes backwards. Impressive, most impressive!

• she is using sorcery!

• Actually it’s inverted

• @Magnum Infinitum inverse sin?

• *One way mirror.

• @DrHillbillyShow One click on a video editing program!

• Soooooooooo sllllooooowwwww………….

• Shivaani Jk speed up the video

• Are you single?

• What if adj and hyp are the same lentgh?

• It’s not possible with a right triangle.

• You’re left handed!!! I’m left handed!! We should date. =D

• I hate to break this to you, she is right-handed, as the entire video is flipped. Did you really think she was writing backwards effortlessly?!

• @StarDagger Rihannsu lol yup… my dad can because he learned how to in the military..

• @Just A guy Yeah, she looks like she is real JSOC material! It is a flipped image.

• Nancy I just can’t attention on your classes
Cuz you are beautiful 😍

• Math is beautiful, too. You know?

• Or speak English either, huh?

• Seriously, How do you know which one is Theta? is it always going to be the angle that is the smallest? Does it just mean that it’s an angle that is unknown?! I am one step above clueless when it comes to trigonometry, but I want to learn all math!! Please help

• Theta is any of the two remaining angles that is not the right (90 degree) angle. It is usually given to you by the authority (i.e. teacher, exam question, Nancy, etc.)

• In German triangles it is alpha, not theta…

• Are you writing backwards, or did you flip the video? Either way, nicely done! Now I should pay attention to the trig you are teaching – your backwards writing hypnotized me!

• I find her a very calming and pleasant teacher! We need more like her in our school systems! LOL!

• Unfortunately, our teachers are forced to cover a tremendous amount of material in very little time so they have to rush through it all. I don’t personally think it’s the teachers’ fault but maybe the problem lies within the school system. Just my personal opinion.

• This is like amsr stuff…..

• follow Nancy in calculus ! and 2 you will be find

• Motion 96

• you will be fine

• You re annoying

• Interesting! Da Vinci was also a lefty and wrote backwards.

• Beauty and brain

• What is the point knowing Trigonometry?

• Thanks for taking the time to explain this its really appreciated

• i now know why I skipped this shit in high school ….  laymen terms girl ……   are we building a rocket ship here ?  LOL

• Simply draw a unit circle and demonstrate how cosine relates to x, sine to y, and the tangent line (rise over run 😉 to the circle. Student would learn the relationships, have more than a superficial understanding, and not have to memorize a silly mnemonic.

• Wow smart and pretty !!!

• I just want 4/5 of a hug.

• I too write backwards, I actually do, and people thought I was weird cause I used to be like “Hey I write backwards”

• Thats all fine and dandy, but you still haven’t told me what sin, cos, and tan are. When I find that the cos of that right angle is 3/5, that doesn’t mean anything to me. its just a number. Can you put some meaning to that number?

• That green marker pen wasn’t the best idea…😉

• Is between her and the cam a glass front? And is she drawing backwords?

• I think she is right handed and she is writing with her right hand on the glass and then the video is playing back negative so it looks like she is writing backwards.

• Much skill in writing backwards!

• Would you/did you do a video on finding percentages?

• DAMN!!!! You should have been my Algebra teacher in middle and high school….🙂🙂

• so funny

• Wow, …you are beautiful; and smart. Thank you for existing.

• damn she fine

• trig in 30 seconds … angle looks at adjacent side of right triangle … sally can tell (sin cos tangent) … oscar has (opposite/hypotenuse) … a hard (adjacent/hypotenuse) … on always (opposite/adjacent)

• I’m curious, are you writing this in a mirror-style or did you flip the video image?

• It’s not that hard to learn to write backwards, but I think she flips it lol

• I finally love mathematics. Lol.

• Hottest math teacher I’ve ever seen 😍

• she is smart and beautiful

• can someone please help me with trig I only have three days to finish and struggling

• You are absolutely amazing and how do you write backwards

• she doesnt

• LMAO

• Very well explained!

• I had a Ah ha moment back in grade 10, with exactly what you are teaching. Now showing videos like this to my daughter to help her learn. Thanks.

• Now it all seems so easy. I was always confused about which was opposite and which adjacent, but I shouldn’t have been. If you were my teacher I might have got it.

• I passed calculus! Thank you!

• Oh wow!

• Plz plz increase your question level@dear nancy

• That was a beautiful explanation and I love your backwards writing too.
However; as it the case with great mathematicians, you didn’t tell us struggling mathematicians what the use of Sin, Cos etc is.
I have no idea WHY I would need to find out these values or what I can do with them.
Because of your excellent explanation, I understand what you did and how you did it but, without a purpose to put them to, the information will evaporate.
Thanks though.

• My exact thoughts John X. Nancy please give us lesser mortals an excuse to use Sin,Cos & Tan in real life.

• @Glenn H I’m a little late but, if anyone still needs it, Nancy did another video explaining how to use it here:

• I’m wondering if that’s really a glass or some editing software?

• Too bad you weren’t my math teacher all through high school, I would have never taken my eyes off of you. And I might have learned some Trig while I was at it.

• Great teacher

• Corect me if I’m wrong but I think for tangent is opp over adjacent 3 over 4 where as I noticed you have 4over3 = tan which I think tan = 3 over 4 or opp over adjacent = tan .. thank you 😊 for your work please reply.Tony from Canada 🇨🇦

• The reason we do this is to find the angles, sin cos and Tan on their own mean nothing, but you left that part out.

• Thank you

• Hlo mam i m from india plz solve my question problem that find cos35 degree, cos40 degree plz give me solution because I live in villages no souce of education only YouTube so plz rply mam

• I m selected for indian railway driving my 2nd stage exam held march so plz rply mam

• This is wonderful. Thank you for explaining it slowly and simply.

• I like you r understanding way

• Thank you, you explain in an relaxed understandable way that makes total sense.

• For writing in reverse, your writing is exquisite!

• She isn’t, it’s a mirrored image

• Do you date skiny asian guy?

• I love u from pakistan

• ⬅ thanks for your help in the sin,cos,tan stuff

• Thank you!

• Lol Americans need tricks to learn trigo function and here we Indians are banging our heads on jee advanced questions….

• Nancy looks like me, but I’m a dummy!

• I remember a time when I could calculate triangles without a square angle. But how the calculate an angle out of the fraction? Is it just a comparison to the unit circle that the calculator does? Because that would be…unsatisfactory.

• Tenebrousable – You can use the law of sines or cosines to do this

• @Rohan Green Ye ok, thanks. But that just makes my problem worse. How does the calculator transform sines and cosines in to angles? What is the calculation that it does? Seems to me like it’s just an approximation of the unitcircle results stored in the calculator. Not an actual calculation.

• Tenebrousable – It’s quite complicated, but I believe that you are correct.

• She’s so pretty

• she’s right handed..

• Hot

• At what age do you learn this in the US?

• I had no idea you guys also used SOH CAH TOA in the US (to be fair I thought it was a brazilian thing only, as I normally see in videos here and did in school), left me a bit amazed there!
By the way, am I’m the only one that gets a serious “Autonomous Sensory Meridian Response” when watching her videos, especially when she talks a bit quiter/softer? It’s really good though, and although it makes me feel sleepy I refuse to accept it also makes me lose a bit of my focus on the content xD.

Anyhow. Thanks for those videos, Nancy! You’re not only doing an amazing job sharing your knowledge in a very apprehensible way, but also doing it for free.

• pi no es la relación perímetro diámetro pues una circunferencia no es un polígono regular es una curva cerrada

• 3.14159… es la mitad de la sumatoria de los lados de un polígono regular de radio igual a 1

• Sons Of Harlech Come And Harken To Our Anthem

• If anyone is wondering what the functions actually are, rather than just how to to calculate them, they’re ratios. For example, 5/10 = 0.5 is essentially saying that 5 makes up 50% of 10. Likewise, for SIN as an example, it’s basically saying the Opposite makes up result% of the Hypotenuse. In her example of sin, Nancy has it equal to 4/5. This means that the length of the opposite makes up 80% of the length of the Hypotenuse. This of course applies for all the trig functions.

If you want to know what they’re used for, Nancy did another awesome video explaining it here:

• see the likes in this comment…… NICE

• Thank you for explaining this!

• Your comment is much more valuable than the video itself. Cant be solving math problems without the “WHY?”.

• THANKYOU ♥️

• hi Nancy. Can I kiss your feet please ? Can you make a video where you do maths with your toes? thank you !

• u did a great job explaining sin cos tan……thanks a lot…

• madam, you are so cute, I can’t focus on what you teaching me

• agree :v

• Me out loud: wtf is theta?
Her: theta is just an angle…that’s not the right angle

I was kinda creeped out by that😂😂

• really

• I want to learn from her.

• Voice was very low quality.

• Top

• Good Job! I love Very much !
Wilton from Brazil.

• There should be a clear glass between her and her camera and she just flip the scene from left to the right by some video clip software.

• The imagine teaching technique. Thanks a lots

• Her coolness is make an more sense.

• 12 minute video helped me, instead of my teacher’s 3 Lesson which costed me 3 hour…

• yeah but what is sin?

• Inkkles its a circular(aka trigonometric) function that takes in an angle as input and gives a ratio as output. Its defined as the ratio of the opposite side to hypotenuse in a right angled triangle

• i am BANGALI student .

• ure great tks

• This video has taught me more in 12:30 minutes than my math teacher in 6 hours. Thank you so much! But for some reason i only found this video the night before my unit test.

• that’s because you’re learning something (or something half learned before) for the second time. you’ll find when you go back to relearn something you only partially learned that it seems as though the second time around the teaching is better because you’re closer to “getting it.”

• Maylin Quinn me too, currently trying to learn as much as I can

• EXACTLY!

• Uh huh huh huh huhuhuh – you thaid “UNIT” uh huh huhuh

• You are Darin !
Would you teach basic differential equations.

• so sweet vioce

• super hero!!!

• Wow, she can write backwards….

• What if we want to measure the 90 degree angle there?
The opposite is the same as the hypothenus and two adjacents !

• Super helpful but raise ur voice a bit☺☺☺

• I LOVE this video. I have needed you to record videos that I can use in Geometry class for the longest! Thanks!

• trigonometriyi bu anlattı da biz mi anlamadık

• THANK YOUUU

• Pleasee do more of trigonometry because you had helped me study a lot for my pre-calculus class & so far I been passing with 90s

• I am shooter want to know where is my impact bullet drop on x range to know should i adjust my sight or not. I remember i study how to calculate this but not sure. Here i am…with cutes math teacher on youtube. Now i realize i am not suck on math. Just because my booring math teacher was i cant undertand what he says lol.

• HOW DID SHE WRITE THAT BACKWARDS SO EASILY

• 31 years ago, I spent a whole school term trying to understand this. I never could. Now, after 13 minutes, I do.

• Bruh in India we say it OSH-ACH-OTA

• That’s the age of maturity.
When you get older, the level of thinking improves.
Not to blame on your middle school teacher, hope she had done her duty.

• Where did you go during the class? 😆😆😆

• @Aussie Epiper Wow you must have been really stupid back then.

• This video show you to calculate angle just with measuring tape and without 3,4,5 method, if you like this video then i deserve one subscription from you please.

• Nancy please how the hell can u give a lesson by writting from the right to the left???
Ur unbelievable
Thnx for all the videos that u made
It helped me a lot. 💗

• Thats easy she is LEFT HANDED….LOL

• @Desert Forge Knife & Tool 😂👌

• Hi Nancy. Could you please post some videos on how to graph all 6 trig functions, including asymptotes, periods, phase shifts, amplitudes, etc.? That would be awesome. Thanks!

• It’s funny how some comments are about Nancy’s ability to write backwards. She doesn’t, because of using a mirror so we can see and she is not obstructing the view. Simple example, on the ambulance, as you are driving, you see the word perfectly from your back-view mirror. But if you got out of your car and actually looked at the word ambulance, you will see that words is spelled out backwards. So, it’s the same concept.

• I don’t think about if I can understand this topic because I used my time to watch her instead of what she is teaching, hahhhhhh

• What if the triangle dosent have the theta🤔😑

• Kitti Kat theta is the angle between 2 sides, its either given or you have to find it in basics like this

• Bruh moment

• your mirror writing is a million times better than my best calligraphy

• Dnt u think the video is reversed?

• @Jaeson Blaze now I have to know which it is , youre likely right

• يعطيتس العافية يانانسي عجرم

• سعيد شخبوط ي رقال 😂😂😂💔

• Thank you! You explain these concepts very clearly!

• I’m in love

• So TAN=SIN/COS

• Its a lot of info, but its great help, thanks

• She writes neater than me but she’s writing backwards 😂

• Zac.d.photography On ig , jokes on you she did a mirror image. Witch means she was not writing back words

• nice vid

• But I do like math. Does that mean I can’t like your video?

• Thank you 🙏🏻

• I cant forget to like because writing right to left is not that easy. 😁😁 I knoww. A lot of hardwork. Lov u mam. U saved me. 😣😣

• I am super bad at math and I always wondered what is this sin cos tan theta crap, until I see this video. I totally understand this concept and feel very confident. Thank you so much for this video. Despite being very intelligent you are absolutely beautiful. Cheers.

• Thank you, Nancy, for the marvelous teaching that you do. And now my favorite equation of all time as follows … Brains + Persona + Beauty = NancyPi

• Waw not knowge

• Luv watching ur vdio😊☺😊☺

• how can she write from rigth to left !!!, by the way thanks for the explanation

• Ian Cruz she wrote normally and flipped it in editing

• I watched these videos so much it helped me master Physics… Thanks…

• But what *ARE* They? You’ve omitted the most fundamental point. There’s no point describing how to calculate them if we don’t know what they *represent*.

• Bruh u pretty

• Thank you so much!! I barely got through algebra in college and have only used basic arithmetic since then. Now that I’m retired, I am determined to learn the fundamentals of trigonometry so I can finally understand how, after “shooting the stars” with a sextant, accurate timepiece, and various navigational publications, my fellow quartermasters and I were able to find our ship’s position on the high seas. I appreciate your calm, unhurried teaching style and will be watching all of your videos. Thanks again!!

• I like how simple or the strategies of yours is very easy, that’s why I found it easier to understand. Thank you so much for creating this video.

• Thanks NancyPi

• This is awesome!👍

• Perfect 👌

• That really did help! Thank you!

• Brilliant… THANK YOU : )

• Mam, you are beautiful and smart..

• Love u from India

• speek up

• speak*

• great, super funny lessons, tx Nancy

• don’t write on inside of my computer screen you dumbass

• hippopotamus side

• I have no need to know any of this in my daily life. But I’m watching every one of your videos anyway, as I’m actually understanding them and can picture the utility.

• Brilliant! Very easy to follow – Clear and Precise speech – Nice steady pace – perfect simplicity – I have confidence in this subject in less than 15 minutes – THANKS Nancy XX

• Nancy marry me… ha ha ha… If you had a guitar in your hand … Alannis Morissette in the Flesh … I really enjoy your videos.. they are verrrry informative and clear … thank you

• Helped massively, thank you

• sure brings back memories babe.i was good at these in school.students ask me advice,teacher was to busy. i didn’t think of it again,till now, ,still remember

• But what about equations like sin(90) or cos(60)? Those aren’t triangles and don’t have a Hypotenuse, Adjacent, or Opposite side.

• Your theta example explained a lot. Teaching myself trig for some time but somehow I never quite got the whole theta thing. Thanks.

• I have never seen such a beautiful mathematician in my life…

• Hi Nancy,
You did such a nice job of explaining how to get the six basic trig functions. If I were in your class, I’d never miss a day.
I think you may like something I came up with in first year college when I thought trig was so poorly explained…
Also an analog calculator for basic math, and/or use in third world countries… .

• Thanks for the Basic lecture.
i promise coming here frequently~

• Damn she’s actually writing the mirror images of letters and numbers

• The moment you realize Angeline Jolie is your Math instructor….Thank you, a very simple straight-forward explanation.

• Ok i know the formulas for it… but what does sine actually do?

• Good stuff Nancy, thanks.

• 😊

• I have just watched the entire videos without getting anything .
Actually,I were lost in your beautiness .

• Her voice is asmr

• Everyone see this video in 1.25x speed.

• I love you! You are so beatiful! Let me marry you!

• Will you be my tudor?

• I’m in 7th grade and I don’t know what I’m doing or why I’m here I’m just bored…

• lol me too

• I HAVE FOUND OUT HOW SHE WRITES!!!!!!!🤔🤔😀😀😀😀

• I wish this was communicated this way 3 decade ago… Cheers!

• So calmly expressed with a soft teaching voice that enables one to grasp. Thanx and much appreciated Nancy!

• Easier than i thought

• only black color is recommended!!!

• are you writing in the opposite way?

• Sorry ur beauty distracted the teaching

• DO i have to wear headphone to hear you Nancy…

• Dad: Are you stupid can’t you solve this
ME: Shit i hate Math

Nancy: Hi guys I’m Nancy
ME: I could be a mathematician!

• i have a doubt which is very complicated
can i meet you
pls or can i get ur any contact so that i can call you

• Be my arc tangent

• Brain hurts, but I will persevere. Thanks for the lesson.

• i am really Sorry i couldnot focus on 2 beauty simultaneously . 1 the beauty of ur teaching 2nd u ur self

• Thank you for the videos NanciPY. They have been great because of the slowing moving explaneations.

• Video ilike it

• Amazing explanation. I saw this crop up in a programming example. It was an animation of the Earth circling the Sun. In the code it used sin and cos to determine where to draw the Earth. I didn’t know anything about it so I searched and found your video. Really cleared it up for me. Thanks!

• I think I would fail her class on purpose so i would have to retake it lmfao

• Thanks alot that helped me so much.

• I’m doing Trig in Geometry, So this is very helpful, thank you.

• Same I’m a freshman in highschool

• Same and it’s confusing

• Yes it is, I’m a sophomore but I still find math extremely difficult to try to accomplish

• Não entendi nada, parace ate que esta em outra língua!!

• Que isso jovem? Parece não , está en outra língua kkkkk , é inglês meu amigo , procure em português que você vai entender certinho

• Definitely weed🤫

• 😙😝😙🤣

• thanks habibti, very helpful. i will make du’a for u hope u marry a halal husband

• your triangles are scalene and not right

• Thank you Nancy the right handed teachers make me feel like I’m doing it wrong now I know I’m not thank you

• I know the way u write backwards.

• Nancy makes me love math

• Oh my the volume is really low on this very excellent video

• MULTIPLY 8 X TAN(34 DEG.) =5.39606813474

• OOPS I COMMENTED IN THE WRONG VIDEO.

• Thank you so much you are a blessing to the youtube classroom!!

• Great videos. Thanks

• How beautiful mam

• excellent
thank you

• Marry me Nancy 💜
And we can make beautiful math together 📈

• hot

• I love sexy teacher

• Best videos about trigonometry I’ve seen

• thanks alot. it was so helpful 🙂

• Здравствуйте Хороший видео но без перевода не понимаю что вы говорите сделайте русский перевод пожалуйста Спасибо заранее

• SOH CAH TOA is helpful

• How does she write like this?

• Damn 😍 can i have ur number? 🙂

• I woke-up this morning with a burning question on my mind: How to find the sin of a right triangle? Now I know, but the other burning question remains — why would I need to know that? That answer was not provided by this, otherwise fine, video

• There are many areas where this can be used. Bending and offset angle in conduit: sinΘ = opp/hyp. if Θ is 30 degrees, sinΘ =.5. If you use the cosecant of .5, which is 1/.5, you get the answer 2 which will be our multiplier. Using the cosecant allows you to multiply instead of divide in the following example. Say your conduit needs to rise 6 inches from the current surface it is mounted too in order to follow another surface that is higher up. The 6 inch rise needed is equivalent to the opposite side. In order to rise 6 inches, the hypotenuse needs to be a certain length and depends on the angle you use. If you bend your first 30 degree angle, where do you bend your 2nd angle? The answer is the distance of the side opposite x our multiplier which is 2. Therefore the distance between bends is 6 inches x 2 = 12 inches. A lower angle such as 10 degrees would require a longer distance between bends in order to reach the same 6 inch offset as described above. Other uses would be determining the length of guy wires needed to secure a tower if the angle of each cable needed be secured to the ground at a 60 degree angle. How about the rise of roof trusses for a house. Trig allows you to calculate the truss lengths and the angles that need to be cut for a particular roof pitch. Hope this helps.

• Lovly maim

• OH HELL YES!!! I feel smrtr already

• I love how you take things at a steady pace, and explain it thoroughly. It really helps me learn. Also!! The setup is so pleasing and easy to learn from 🙂

• Nice video, i tried this in auto cad and it worked

• Beautiful in every way!

• In the machine shops, they use a lot of trigonomtery because we use machines (CNC and conventional) to do parts for radius , cut specific angles………..

• Freedomofexpressi100 I’m in a new internship at an engineering firm and I still haven’t taken Trig. Having an application helps me understand it a lot!

• I wish you could be my teacher or were my teacher!!… Sigh

• Thank You. I am using this video to prep for trigonometry course.

• i also think you are much more attractive than my math teacher. your explanation were easy to understand.

• You are hot.

• Can I go to the bathroom?

• She reminds me of my Math teacher…

• Good teacher

• how r u Nancy ?

• what cream do you use for your skin? my girlfriend next to me wants to know. 🙁

• Oh god maths English hurts my brain. I should really learn more complex English and not just the really casual conversation stuff so that I could learn from videos like these 🙁

• Where were you 1981 in my math class to teach me? That was so well presented!!

• sorry to say this but the pens were not very clear

• Are you on the other side of the room writing vice verse or writing a diff Lang ¿

• How do you write??? Like do you write in mirror?? Thats gotta be tough XD

• You are an excellent teacher. If more math teachers were like you people wouldnt be so afraid of math..!

• Thank you for making this so simple and clear, I barely made it out of college algebra and now find that I need a solid base of trig for development. You definitely have the gift of teaching, again thank you for sharing…

• Thank you so much

• My teachers try to make it complex but when you watch on YouTube it’s like year 2 maths

• Thank you so muchhh!!!!!!!!

• Man how is she smart and beautiful

• What

• How would you solve a right triangle without an acute angle ?

• I’m brushing up on trig for a metal stretching skill set on a machine and DAMN I would be willing to learn ANYTHING from this woman!!! Talk about keeping my attention lol 😘💯🔺️

• Nice work

• All silver teacups

• This video has received 215K views, but only less than 6K likes. Come on people, really ?!

• 🙏thank you

• Nice session ! Don’t give up !.

• I love you

• I finally understand it 😭🥳

• She is hot.

• Can you become a professor at my college?

• Hello maam

• I understand everything that was taught in the video but some one care to explain the function of Sin Cos and Tan? What is the fraction representing?

• It depends on whether you are trying to get side lengths or angles, and each function helps you to get the values of different sides or angle with the information you already have

• Thank you!

• This was the first time ever that I was able to grasp what was going on! You are awesome!

• Do you have to write everything backwards for us to be able to see it right way round???

• omg she is so hot im 15 btw

• Ya ya I get it she’s beautiful but how the hell does she write backwards😂

• The video’s mirrored. She’s actually writing with her right hand

• It’s not hard to learn to write backwards. I learnt in about a week!

• Very good well teaching

• I thought I was watching Angelina Jolie teach trigonometry…. Nancy could pass for her twin sister!!!

• ❤️🌹❤️🌹❤️🌹

• watching this just before a math test, Soh-Cah-Toa will save me lol

• This is useful and all, but did nobody else notice she had to write everything backwards?

• nancy what are you doing on u tube

• Great explanation!

• Studying architectural technology and have learned more in 3.14 minutes watching your vids than months of math class

• How can you figure out what your legs are when you are only given a right angle with no theta?

• No words madam. Thanks alot.

• Hi,please use graph tan xy,tan xz, tan yz ,see true function structure ,bliss,thee,XAMBUNJILOM

• soh cah toa
suck a toe 😳😳

• i learned trig in 12 min lmao. teacher has been spouting nonsense. ty :)))))

• What grade do we learn trig? I’m in 9th and I taught myself trig from online but my teacher keeps telling me I don’t need it this grade… All that effort wasted… Can’t wait to actually use it in school!

• One thing I keep thinking about is how are you writing like that on glass. Is this some photography trick or did you learn to write everything inverted?

• Great video, holy crap the first 2 classes I count figure it out

• Math is the worst subject ever so confusing but once you learned you get

• This is truly an awesome review for this subject matter. Thank you

• U r so beautiful

• she seems like she’s being held captive and being forced to do this

• I still don’t what is the rule for defining which angle is theta. Which angle is the theta angle in an equal sided right angle triangle for an example?

• You make learning fun!

• She looks middle eastern

• This really really helped me understand it! Thanks so much! Your pace at which you go is perfect because it allows me to take my time in understanding the material.

• iv bookmarked this video

• Why was this not possible for my math teacher to make understandable in two whole years, when you made it possible to understand in such a short time?

Impressive and thank you.

• jotaro~kun? 👀

• Lmao how can I not like,
shout out LI, NY!

• Why doesn’t Pi equal 3.3333333333333 vice 3.1416926589793? A difference of only 0.1917406743507 Respectfully Out!

• Damn if i had her for a teacher is get straight As for sure

• Everyone here is a simp

• Man I wasn’t even paying attention I just wanted to see u talk 😳 u pretty

• Every time I hear SOH CAH TOA, I think of Squidward saying “Krakatoa!”.

• Thanks for the help I’m in a German integration class and I missed a lot of math work and you have help me allot

• How are you writing vise versa ?

• oh my gawd i lost

• Thanks. For giving me a explanation about it.

• Interesting… in the UK we are just taught: if you don’t have the angle, “invert” or find the “inverse”, which is sin OR cos OR tan, to the power of -1, of the angle. We don’t speak about csc, sec or cot.

• Yea man,what a great teacher 👍

• We also don’t use Theta, we just write ‘x’

• Thank you so much I was so lost

• Trig, Vectors, and Calculus are my favorites……..excellent video and teaching, thank you very much!!

• Outstanding video and very well explained. Outstanding narrator I might add.

• Amazing teacher,if i had study well 31 years back,might score good,Now this brilliant teacher guide me back well.Thank you teacher. 👍🙏👌✔💎

• It must take some skill to write backwards on glass like that
Actually wait they could just write it normally how they see it then flip the video too

• Great Explanation! Thanks!

• Thankyou Thankyou very much

• Can we get someone ugly to do this? I have to keep restarting, I keep loosing focus

• If she taught “strip” Math, suddenly all the boys who are “bad at Math” would become A students 😛

• When I realize her backwards penmanship is far greater than my regular penmanship 🥺

• I like ur note

• The trick is awesome

• I just realized, she’s writing this entire thing backwards. That takes talent and practice.

• how is she writing in the air?

• @S H what the?😂. Are you serious

• No nigga she put her thang down flipped and reversed it

• @S H Bruh, You just made humanity lost 100000 braincells

• @Hockeyqs2 Bruh, I used to be left-handed, I didn’t right backwards… -_- basic knowledge.

• I had no need for learning trigonometry as unfortunately I’ve done foundation for maths for the past 2 years but it’s actually alright…

• Bruhhh this is so clear!!!

• I know I’m only grade 5 but I understand this!!!!!!

• What a clever potato you are!)

• You are beautiful

• See Sai mathematics orientation education for easy method and song

• Although she sounds like she has the IQ of a McChicken I actually understand it now

• how do you right backwards so well?

• All I’ve ever used sin and cos for is to plot x and y coods with movement for games. It’s lets you move at an angle at a speed and plot the new x/y coods. I never knew why this works though.

• Wow…. easiest way to learn

• Where were you in 2008 when I was failing trigonometry miserably?

• Thanks

• amazing love her pedagogy, how you teach, you re just amazing, you were born to be a teacher

• i cant express my gratitude in words just amazed.

• Only for nanci you stole my heart 🙈😍

• You helped me out found this vid very useful 👍

• WHY IS THAT ANGLE CALLED THETA AND NOT THE OTHER ONE

• This woman is brilliant! 🙂

• how’d you learn to write in mirror image?

• Waste of time

• this is not even part of my course but it is intriguing , you are a great teacher. thanks!

• I was interested until you complicated things by introducing sec, csc whatever.

• You are a great teacher. I use a partial lesson for my kids

• Nancy Pi: “You don’t have to like math but you can like my video”

Me: Done

• You are a God send, I was desperate to find someone who could help me learn Trig so I can take the Classical Learning Test, and your teaching style is easy to understand and thorough. Thanks a million. Also, you are so beautiful, if every woman looked like you this world would be a better place.

• muchas gracias!

• Literally better then my teacher I learned more from you then my teacher for the past few years

• Thank you for sharing. Your not just beautiful bit also passionate teacher

• I want her as my teacher😍

• what if one of the numbers is a variable?

• Plz make a video on sin cos theta sin cos tan 🤒🤒

• i am confusion

• love I t

• This is so useful during quarantine. My teacher stopped teaching and its just book work so you’re so helpful thanks.

• @Gladius Gaming i couldn’t agree man, I get the same thing from sch too

• @Lonewolf yeah during quarantine. Personally I find it difficult to focus or learn

• my teacher didnt stop teaching but he became worse at explaining than he was in class
and he wasn’t very good at explaining in class

• I don’t understand why government pay teachers like the one you have. He or she don’t teach anything but she is getting paid, that’s a waste of tax money

• @6daemonium crowley its not just them, its also the departments, in Australia, theyre quite disorganised and this baffles me that YouTube does much better as a learning platform but i agree with you

• Guys! I don’t think she writes backwards! I think she just mirrored what she was writing. check out the channel mahalodotcom. Then she also writes backwards. Another example: Jimmy Chang on eHow. I don’t think there are that many people that can write in reverse that easily.

• Trigonometry is Dis Cos Tan

• Your good! lectures are simple and very easy to comprehend. Pls give more lecture series.

• I just posted a video about calculating trigonometric without using a calculator…… I hope it’s helpful….

• I’m having a terribly difficult time focusing beyond how attractive you are. My goodness.

• круто и понятно, right ?

• I think I’ve been hypotenuse-tized.

• You made it easy no more fear of maths…..😂

• THANK YOU TEACHER.

• Hello fammya, I just posted a video about calculating trigonometric without using a calculator…… I hope it’s helpful….

• Thank you although I can’t concentrate on learning now.

• Hey J, I just posted a video about calculating trigonometric without using a calculator…… I hope it’s helpful….

• Thank you very much Nancy for excellent lectures .And can easily grasp concepts …You are simply the BEST.

• Are you married

• خرب حظي ماتجين درسيني والله اصير الخوارزمي

• Very good! Thank you.

• Hye Josef, I just posted a video about calculating trigonometric without using a calculator…… I hope it’s helpful….

• next time use bikini its more better to listening in 12:24 mins

• @IshaMaths Tea Bruhh you spell my name wrong

• Omg she’s got massive talent

• If your going to be my teacher, I’ll come back to school 🙂

• This helped me a lot! Thanks!

• I was home from school two weeks before my school put everything online, and that was when I assume they were teaching basic trig like this. So when I saw more advanced stuff on our google classroom I was extra confused. In short, thank you for this video, it helps a lot 🙂

• you look like angelina jolie ur so pretty!!!

• Thanks for converting geometry from a difficult one into an interesting and easy to my children
🌍🌏🌏🌏🌏🌏🌏🌏

• I actually have an 8 inch cos

• How to identify what is theta

• You are beautiful 😍

• Great lesson!!! I am glad I found your videos I never took trigonometry and high school so I have just been teaching myself by watching youtube videos and taking notes. I want to thank you for bringing up those different kinds of right triangles because the third one you drew use to make it difficult for me to understand what title was what but you cleared that up perfectly.

• Like aqui do Brasil!

• That kind of teaching is actually hard the board is in our front now she had to do reverse writtings

• 2:58 might be the start

• what if I’m not given the values of the triangle? 🙁

• then you can’t find the sin cos and tan

• You’re and beautiful and smart, congrats! Not often to see

• my teachers are annoyingly difficult, they dont tell us to find the “sin” or “cos” they just say find the angle

• Davvo – You find the angle using inverse trig functions. This is just the three main ones

• Thank you so much! You saved my life!

• Can the theta also be in the right angle? If not, why not?

• thank you so much for this thorough explanation, you’ve helped a lot of people.. also I’m in love with you

• Thank you for the review. Haven’t seen much trigonometry since I retired as an optometry professor 12 years ago.
Very good effort and easy to understand.

• Shame about the audio but great explanation

• you’ve got the scary smile of the beauty. you’ve got me trapped in your smile.

• High on potenuse 😂😂

• Don’t wanna sound cliche or that im hitting on the woman but a beautiful teacher and math feel so counter productive mixed together. It’s so hard for me to even concentrate to begin with. 😂

• 45 years old and finally someone made sense of this for me. Thank you.

• I can’t focus on the content

• thanks!💖 and Hot!🔥

• She does not speak clearly.

• Ad: do the vidios from 2006 really help
Me: Yes they do.

• That annoying maths pug one omds

• I know in grade 3 but i understand this

• I still don’t understand, but the first time ever, I understand the parts I don’t understand, and am going to watch it a second time so I understand them <3

• this is so useful thankyou!(:

• That was very useful.. Thnk u

• Wow i love the way you teach

• And after all the world has come to this were I come to the conclusion that helpfull people don’t get halve the reward as negative behaving people,
So than why not behave at the same negative algorithm
The only thing I need to do is put an angle on that thing so it drops to earth on a correct angle…haha
Nuclear bombs should be landing at an angle on the earth to inflict most damage
Instead of dropping it at a straight 90° angle on earth
60°
30°
45°
and 45° would cause the most dispersing of the nuclear poison in one direction
To get it further figure out the wind direction and so it’s poison may flow with the wind to reach even greater distances

• This helped so much during this “online only” coursework I’m doing rn. Thank you 🙂

• Aviles sent me here

• Nice

• i find this video the day before my trig final 😭

• My father was a builder and I’m a plasterer although take on building jobs. Recently I have been working on building pergolas. A client gave a plan to build a pergola which had angles so I drew plans to incorporate a pitch. The client kept changing his mind so all the drawings I did was a waste of time. I relied on my drawings to calculate pitch from rise and at a certain angle. Okay, I can work out the degree pitch and the length of material required for a certain degree angle.
I want to know the formula so I can work it out for myself which brings me here.
I’m a self learn person who has not learned about sin cos tan at school. I don’t understand tan apart from it is a value or a rise. Tan can be called anything so it’s the formula for every metre run divided by the base length or whatever. What got me struck is a small – figure under the tan to work out an equation which are scientific values I don’t understand. I sort of want to create my own formula to achieve the right results. I’m sure there will be many methods which in the end return same results. My drawing programme goes to .0001 mm although drawing angles only returns . 001 so it can be within less than 1/2 mm out when calculating different distances.
I have spent time writing a spread sheet for angle pitches to 80 degrees starting at 1 metre square then calculating angles. I then have a reference which I call datum. Starting point. I then draw up other charts saw 1.2 metre or 5 metre. So I get the one metre datum and multiply be either 1.2 or 5 metre.
Problem in building no one cares. There is not the level of accuracy I want to obtain in what I do. The pyramids is one such example that advanced civilisations existed and yet we are told slaves dragged stones and shapes with hand tools. That’s a joke right? Because the pyramids align true north and south also pointing to the constellation of Orion.
The granite boxes have an accurate within 2/10,000 of an inch. So I guess trigonometry goes back 100,000 years old and longer.

• I’m just halfway. In the building we worked out the 3 4 5 formula to create a right angle 90degree. If you have a base 4 and height 3 the angle returns something like 36 degree and decimal. If you have a base 3 and height 4 its around 53 I also did opposite and it returned same values if taken from 180.
I guess I’m taking on jobs outside my plastering so in carpentry it’s necessary to dissect angles also incorporating setting cornices on different architect designed roof pitches when setting plaster cornices.
I told my daughter maths should be taught to incorporate the real world. Construction is one example where it can be practical.
I was doing my leaving in high school it was around April and I changed subjects so had a few months to catch up on one subject. Two weeks later they ran a preliminary test on the new subject I took on. As I was behind the questions provided answers so it confused me I got 48%. So the school principle and another person stupid as they were called me up about my results and said we think you should leave school so I did. My subject was human biology and changed from geography which did nothing but charts.
My daughter used to tease me and say we think you should leave school. I went on and did a few building units although qualified as a plasterer.

• i am a 11 year old trying to understand this

• a maths teacher to b so cute is hard to realize…………………… but its the truth unlike the other mathematical demons

• Who’s hungry for pizza? Still doesn’t show why I always get the smallest slice.

• I making video 9k likes

• Not only are you beautiful but you have a great attitude with it. You really helped me, I was freaking out that I was going to have to watch 100000 videos to remember all this. Nope! Thanks to Nancy I am good! You are the best! Keep up this great content – xoxox

• She’s just like my teacher in algebra the face the body and also the way she speak and the reason why I learned algebra so fast😊

• I’m just shocked how she could write inverted

• I’m confused. She said theta is the angle that’s not the right angle. So in a right triangle, since there are two non-right angles, there are two thetas, correct? And if not, how do you know which of the two non-right angles is the theta?

• another way you can use to describe is Some Old Hippy Caught Another Hippy Trippin On Acid

• How do you draw a “wrong” triangle? Lol

• by not using your brains#

• Thank you very much. Very simply you explained and you look so beautiful ….

• Trying to learn but your beauty is just tormentingly distractive

• She’s left handed 😱💖

• She’s so pretty I can’t concentrate :4

• she explain better than my school teachers

• She’s hot, but the way that she’s drawing those right angles is bugging me.

• She’s hot

• Why does literally everyone say that “Thanks so much I found this video the night before my test!”- Like do they only study for the test ONE day before or what???

• Left-handed people are smarter than right-handers.
Am I right???

(Edit)- Or is her writing hand reversed as well as the writing?

• I appreciate the great information. Thank you for this incredible video!!! 🙌🏼🙌🏼

• Grazie

• Thanks a lot i like your way that you explain. 👍🏼🌹

• Her handwriting is better than mine and she’s writing backwards