Basic Trigonometry: Sin Cos Tan (NancyPi)
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- Опубликовано: 8 сен 2024
- MIT grad shows how to find sin, cos, and tan using SohCahToa as well as the csc, sec, and cot trig functions. To skip ahead: 1) For how to find the adjacent, opposite, and hypotenuse sides of the right triangle, skip to 1:13. 2) For how to find the value of SIN of theta using SOH CAH TOA, skip to 3:16. 3) For how to find COS, skip to 4:15. 4) For how to find TAN, skip to 4:56. 5) For how to find CSC, SEC, AND COT from the sin, cos, and tan functions, skip to 5:56. 6) For harder examples of how to label the adj, opp, and hyp sides if the TRIANGLE IS ROTATED on its side or upside down, skip to 8:32. Nancy formerly of MathBFF explains trigonometry basics.
For MORE TRIG: how to convert between radians and degrees, jump to: • Radians and Degrees (N...
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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: nancypi.com
I like the fact that you take your time; it gives me time to process what I'm learning.
You need to be watching these videos at 2x speed!
Your name though
same here
I actually watched it at 1.25 😂
That. And you don't have 23 to 31 other little shits distracting both you and her.
Your ability to write backwards so easily blows my mind. Thank you for the clear explanation. I keep this video at bay as it is the best explanation I've come across.
Video is mirrored
@@catladyfluff8423open eyes pls. She writing backwards. Don't be jealous of other people's talent!
@@mrsenpaihd7485 it is tho
@@mrsenpaihd7485 It's a mirror. The camera is at an angle.
And left handed too😮
This is so useful during quarantine. My teacher stopped teaching and its just book work so you're so helpful thanks.
i'm online schooled so I technically have no teacher. been watching these videos as long as i can remember (even before the quarantine) haha
i agree
For me, i get the useless website MathSpace and PowerPoints
@@revan2831 i couldn't agree man, I get the same thing from sch too
@@glcmy345 yeah during quarantine. Personally I find it difficult to focus or learn
45 years old and finally someone made sense of this for me. Thank you.
I am 45 at the end of the year. Same for me, these terms finally make sense.
Same with me :)
9th grade, first year I learn this
Same here
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:
ruclips.net/video/a5WQlcFTXyk/видео.html
Thanks mate. It is really helpful for us beginners.
I hope this isn't "mansplaining"
Iris Gross You’re Gross.
Precisely!
Exactly ! My wife of 41 yrs, was a math teacher, and TRIED to teach me algebra way back when...(dark ages), I always wanted to know the WHY of a problem, but she could not explain that very often. She would say, ~just do it this way'.....LOL
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.
ruclips.net/video/tXwfBBs3lZ8/видео.html
Forcing myself to learn this 20mins before my exam
literally me right now. i have a test tomorrow
How’d your exam go?
i literally have the test in 18 minutes
@@user-nr6rn6lq1c I have a test tomorrow as well lmao I’m most likely going to fail it 😕
@@lolololXDrofl same
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 :)
GOD is love you Please come back for him
Nancy plsss come back teach us moree ur the best teacher
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...
When I was 12 my father taught me:”Pat Has Brought His Pig Back” -> [P/H,B/H,P/B] perpendicular, hypotenuse, base. Easy to remember, now 50 years on, trig mnemonic in a box. You are an Ace and I love your vids. Thank you very much, keep it up.😊
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.
During 1990, i spent so much time trying to understand this because although i was told how to use Sin cos tan etc but then i didnt know if sin represent an specific angle with refrence to the right angle or is this ratio of angles.
My teacher unfortunately was not intrested in teaching during the regular classes at school as much as he would teach at his home for a tuition fee.
Today this small video gave me the answer.
Namaste 🙏 .
So calmly expressed with a soft teaching voice that enables one to grasp. Thanx and much appreciated Nancy!
`Longest side is the hypotenuse'
This line really helped me i was having problem in physics derivation by help of diagram I'm really thankful to u.
The moment you realize Angeline Jolie is your Math instructor....Thank you, a very simple straight-forward explanation.
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
I had Trig in High School- 1971. We just had paper and pencil, No calculator. This video brings back those math memories. Very useful.
Tu fais quoi dans la vie?
If you are the teacher , then i am ready to learn maths in each and every language .....love from india
This helped so much during this "online only" coursework I'm doing rn. Thank you :)
I'm an student from India.. I love the way you explain. I'm 15 , I understand your explanation very well
butter chicken
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.
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 have never seen such a beautiful mathematician in my life...
Amazing teacher,if i had study well 31 years back,might score good,Now this brilliant teacher guide me back well.Thank you teacher. 👍🙏👌✔💎
I wish i had a teacher like her. Thank you. Greetings from Brazil :)
I have dyscalculia and ADHD this is by far the most friendly lesson i got my whole life
After watching this tutorial: 1. I learnt the fundamentals 2. I fell in love with Nancy
Simp alert!
@@nativekhanbrian5211 I think he will ask for her bath water or some shit 😂😂
@@rishusarkar6306 🚶🏻♂️🚶🏻♂️🚶🏻♂️
This was the first time ever that I was able to grasp what was going on! You are awesome!
The most impressive thing about this is that you can so easily write on the opposite side of glass so that it looks correct on our side.
It's a mirrored image.
she probably just fliped the video after she filmed it
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.
Nancy Pi: "You don't have to like math but you can like my video"
Me: Done
Èfneßt moniss I fell im.n lovè
@@jacksonbudd8424 bruhhh
@@jacksonbudd8424 Another one lost to the void
I just realized, she's writing this entire thing backwards.
I hate to disappoint you, but she probably just mirrored the video
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.
ruclips.net/video/tXwfBBs3lZ8/видео.html
She's not, she just reversed the video :)
@@lagsterino i hate to disappoint you, but that was a joke
Bruhh she mirrored it
At first, I thought her drawings of right angles were out but then I realized it was just that she was drawing a two-dimensional representation of a two-dimensional object in a three-dimensional world leaning back away from us. Clever girl
One of the most helpful videos ever! God I really, really thank you for this, literally understood the whole lesson in minutes than in hours in class.. Really appreciate this💜💜💜✨✨
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!💜
Are you an army (bts fan) btw? i don't mean to pry or anything, just curious...
You are an excellent teacher. If more math teachers were like you people wouldnt be so afraid of math..!
SO you write in reverse? wow
I believe she doesn't because you can use video editor to reverse the whole video
lau Jenn Yue watch again. She’s left handed but goes left.
@@MIT2004 - Which means she is really right handed going right, and then the video is reversed just like Iau Jenn Yue said.
She’s writing backwards on a clear surface… You can tell because her body is not blocking the text when she overlaps it. Left-handed people don’t write in a direction that goes away from their bodies, unless they’re writing backwards. If she is right handed her hand should be covering the text as she writes.
@@Lanefasts - Yes, she is behind a clear screen. But, she is not writing backwards, that would be quite difficult at the speed she writes, and it would not be pretty. She is right handed, writing behind a screen in a normal manner with her hand moving away from her as she writes. She is not blocking the text with her hand, because she is behind the screen. But, looking at her from our side of the screen, the writing would normally appear backwards. So the solution is to either place a mirror between the camera and the screen to reverse the image, or to simply reverse the left to right orientation in video editing. That's why it looks like she is using her left hand. Try it at home. It's easy to do. Just use a mirror when recording the video. My apologies to Nancy, if you were trying to keep this a secret mystery. I know you probably don't want everybody to copy your clever presentation style.
This is one of the coolest teaching skills (writing backwards). I remember I had a sir who would sit opposite to me and write everything on my straight point of view basically writing upsidedown and from his opposite direction to which we normally read. I tried it once and failed miserabley. Lol
I love teaching trig. Teachers seem to complicate it SO much and I just wonder how!?! 😫
Yute Hube yeah and they barely know what they’re even actually talking about, they just give out instructions in the most convoluted way possible
IKR!
I have no words to appreciate the way you teach. Watching this video helped me to understand what we were talking about in the class in the last three weeks. Thank you so much Nancy.
I'm actually going to grade 9, I just want to learn as much as I possibly can so I can do well and know things that my fellow students don't yet
Hey are you doing well in school? I know in my school we didn’t learn this until grade 10 but it’s still good to know :)
@@lexip8574 Well to be honest it's been quite a while since I posted this so I'm actually surprised someone commented
Bruh you should, I'm entering grade 10 and it's quite wise to get a headstart with the 9th grade maths.
Thank you! We homeschool and my daughter is having trouble understanding cos/sin/tan. This was exactly what we needed
You know GOD is love you
I will be 100% honest here, she just taught me my entire trig unit in about 20 minutes
This is great. and I love how you explain it like a normal person! :) Go Girl!
1 day before exam
Me on RUclips : How to solve maths
Know the feeling, brother. We put off the bill, now it's time to pay up. Let's embrace it
Ikr
Same 5 hours before maths test finding out whats trig😂😂
same but 10 minutes
@@ixeqh 😂😂
This is a lifesaver minutes before my geometry end of course exam. This is the very first time I’m learning this because I didn’t pay any attention.
Maths is my favorite subject but if anybody gets a teacher like you , who will listen to your explanation, everyone will just stare at your beautiful face maam ♥️
shut up weirdo
im a machinist now got me thru precal up til 130 am studying i was a drop out @13 i was a bibloser strung out sous chef from winnipeg manitoba back in 2013 i got clean maybe taking computer science this fall idk work along side masons soon i love my life
Ps i schooled my instructor with his 8 year question noone solved till i showed up fraction and all this other crazy roswell quadriatics _-18 was the final then i remembered you i put it over 1 as a whole 178% test never in my life even now ill always come back to support your channel thank you so much ur too precious. For this world stay safe MrsM.I.T.
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
im in 8th grade rn and this made a lot more sense my teacher is always too fast.
I'm glad to find someone else who can mirror-write, I can , and have never met anyone else, though I know they're out there.
Best videos about trigonometry I've seen
Very polite she is, speaks very softly i feel like i am listening Story of King and Queen...Great Keep It up and you look also pretty
that SohCahToa stuff....man those were the good days
What u talkin about, we struggling here
@@Ftsid_ real talk
@@Ftsid_ 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
It is good for all students who need more explanation. 👨🎓👩🎓👍
Nancy is on a roll 😍
I’m going into Calculus I in a few weeks
Pray for me 🙏🏻
good luck :)
Calculus is easy, Calc III makes things interesting, and Linear Algebra is what you need to get into Deep Learning/AI
We believe in you!
RIP
Calc seems harder than it actually is
Thank you I am recalling my memory and it is useful in teaching my son ❤
I thought I was watching Angelina Jolie teach trigonometry.... Nancy could pass for her twin sister!!!
Nah, much better looking than Angela not so jolie.
Why do you even care about appearance just learn the maths ?
I miss you.
I expect everyone here misses you.
I dropped out during COVID but I’m ready to start back.
I need you now to get me ready for Calculus II.
My instructor will expect me to know this Trigonometry very well.
Thank you, Nancy, for the marvelous teaching that you do. And now my favorite equation of all time as follows ... Brains + Persona + Beauty = NancyPi
You are better than my math teacher, he goes really fast about this topic and you my friend explained everything clearly
Thanks for the Basic lecture.
i promise coming here frequently~
We e been doing trigonometry for only a week and I have a test so I’m watching this on my bus thank you ❤️❤️
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!
Studying architectural technology and have learned more in 3.14 minutes watching your vids than months of math class
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😊
..body???
@Deucalion Ray Wait why is she sus?
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.
watching this 5 mins before my semi finals exam, wish me luck
All the best 👍
im a month late but i hope you passed
WOW, you managed to explain this in a way that someone as dumb as me can understand. I hated this at school and not a single teacher could explain it in a way that made any sense. In 12 minutes you just out performed 2 years of (*cough UK cough cough*) education. All while writing legibly backwards too. I will now never lose the image of a right angled volcano. Genuinely, Thank you for doing this
If you concentrate really hard you might notice she’s teaching math
For the ones who always get confuse which is which. Hypotenuse will always be the opposite of the right angle (90 grad). The adj. hence its name is located next to the theta and opp., is positioned always on the opposite side of theta
I passed calculus! Thank you!
Oh wow!
Thanx, this video taught me more in 12 min than my teacher in a week
drop the snap
I did not get to take trigonometry in school so on a whim. I decided to learn it today... What I wish the video had. Was some sort of real world application example and not just the math, but the application of where someone might use it or could use it throughout their day.
I really did not understand anything 😂😂😂
But thank you 🙂🌸💕
Check out organic chemistry tutor, professor leonard, don't memorise
I’m in my 50’s and never understood this till now. Never explained this simply when I was back in school. Using it for celestial navigation. Thanks!
You use it for celestial navigation but you didn't know the basic?
@@osk3253 Yes. You can simply use the Nautical Almanac and other tools, spread sheets, etc. where the math has been done for you. I want go deeper into it.
How come my trig teachers were never this cute?
B/c you were born later. Or they were born earlier.
She probably doesn't smoke two packs a day nor have a Thyroid problem.
Mrs Armstrong, my first Math teacher, had a goiter and a moustache,
with an hairy chin.
However, once you get used to the absolute loveliness of her, the soft timbre of her voice, will put you to sleep, with consequence that, you wake up in a critical Math test, thinking, what did she say....
Nobody had a math teacher this cute unless she was your math teacher.
My math teacher is over weight
You obviously went to a male-only school!
thank you! this is like the 5th trig video ive watched and you were the only one who could make my brain understand! i couldnt even get what sohcahtoa stood for until now
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.
Thanks for having captions. SOH CAH TOA won't replace "Oscar had a heap of apples."
Thanks Nancy!
I always watch her videos not cuz I have doubts it's cuz I like her . She is so adorable i don't think I can concentrate at all if she'll be my teacher
Bro im finna start simpin for my trig teacher got damn SHE CUTE AS HELL
I bet you got an A+ even though you failed all your tests
@@hisky. i know i did
@@Isaac-hd5xy weow
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.
This chick is beautiful and helps me learn math. The public school system could learn a thing or two from this mermaid.
i appreciate the fact that you're taking your time teaching, whilst my tc be rapping the lesson all the way through in 3 hours straight 😳
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.
Thank you very much Nancy for excellent lectures .And can easily grasp concepts ...You are simply the BEST.
She's like a freakin angel...
You explain it so easyly I love it ❤️😙
If I had a pretty math teacher like her I would have become a mathematician
Simp
@@Saveg36 A proud simp
She's a combination of rare characteristics, beautiful intellectually and physically. Fascinating.
Some Old Hippy, Caught Another Hippy, Tripping On Acid.
Thank u very much.💫 I'm from KERALA, INDIA.During corona days we attend only online class.I don't understand online classes but I like this video 😊so much 👍
Can we get someone ugly to do this? I have to keep restarting, I keep loosing focus
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!
Hot girl does math. What a genre.
I watched these videos so much it helped me master Physics... Thanks...
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
amazing love her pedagogy, how you teach, you re just amazing, you were born to be a teacher