Sine, Cosine, Tangent Trigonometry: Right Triangle Math Explained

[@erinseward]

Wow, I think you just saved my life. I have spent weeks in a state of confusion. Thanks to you I feel like I just won the lottery in finding this video. I thought there was no hope left for me in understanding Trigonometry. You may have just saved me from dropping out of my math class. You rock, and you're awesome at explaining the concept. Thank you from the bottom of my heart.

[@OzieCargile]

I just want to say that you're an excellent teacher! Clear, concise, to the point, relevant and relational.

[@wamu8851]

I watched your video just for fun, but you are totally amazing!!! your voice is so clear and professional. I loved the it! Thanks a lot Jorge

[@younisalabri7788]

one of the best video ever seen .. thanks man

[@htfllover123]

Some Old Hippie (SOH) Caught Another Hippie (CAH) Tripping On Acid (TOA) Hope this helps you remember

[@gamccoy]

I wish every teacher had your talent. That was well prepared and the pacing excellent.

[@douglaskroeger2425]

Thank you! Our teacher never mentioned sohcahtoa. Makes things so much easier. Great video.

[@Preeti1630]

God bless your soul... you explained this much better than my math teacher!

[@Cultuz]

Wow this is a GREAT video. You are a REALLY good teacher. I can only learn from teachers like you who actually bother to explain what is going on. It is really too bad that there are too few teachers who can do that.

[@NSCequalsME]

Heres a different rhyme Silly Old Harry (Sin=Opposite over Hyponenuse) Caught A Huge (Cos= Adjacent over Hypotnuse) Trout Out Angling (Tan=Opposite over Adjacent) Thank you so much, this is very helpful and fantastic revision! :)

[@dzweifler]

WOW - excellent explanation of these concepts. And very good job of relating these abstract geometric concepts to practical applications. Rather than calculate height, I've applied this to land navigation, determining a new heading to a destination a known distance away after having to deviate from the original heading by a known distance at a right angle. I was looking all over youtube for this info. THANKS FOR THIS.

[@MyMpc1]

You explain things in such a clear way. Way clearer than any maths teacher!

[@1luvc0d]

You Sir.....have just helped my math grade! THANK YOU!!

[@spadog63]

Very well done, maybe the best presentation on trig I have seen yet. Keep up the good work.

[@Newbyte]

I don't think I have time to express how grateful I am for this video, BUT THANK YOU

[@Youtube_Cribbit]

I'm in 7th grade math 2 for high school and this was the most helpful video hands down in my entire life. THANK. YOU. *smashes subscribe*

[@dirichlettt]

Thanks bro. This is way ahead of my grade but I understand it all and it helps me understand more things that people are talking about.

[@xezxshotmcvids]

For those wandering why you are not getting the same answers as the video, your calculator has to be in Degree mode. There should be a button called Mode on your calculator.

[@Chris-ef4iq]

Risky Feat Holy shit thank you! I knew something was not right. Not all heroes wear capes...

[@xezxshotmcvids]

LOL

[@m1n3mqnmineingmen83]

I failed Math test because I didn't switch the calculator mode I wish I saw this earlier :/

[@PropheticShadeZ]

you sir are really cool, nice tutorial, i was searching for random vids on maths but i really like your feedback to people who are having problems

[@mshetula830]

Love your video! Very helpful to explain sin, cos & tan not just with words but with visual aids as well.

[@ellasmullen3130]

M Shetula Yeah the video aids helped

[@numeinteligent9402]

you saved my life , i am doing vectors in physics now and i didnt understand a thing now i can finally understand my teacher

[@Dirtydunton]

Excellent excellent video. Not sure it could have been explained any better. Needed a review for a trade test thank you so much!

[@FakeWorldWeLiveIn]

Soh cah toa Sex on holidays can always help teachers overcome anxiety

[@FirstNameLastName-fu8ml]

Jonathan Toruno that's what my teacher told me.. lol

[@Believersgospelmusic]

Did you write for the sake of writing?

[@kk12089]

I never knew that inverse part so I was always wondering what I was doing wrong!!! Thank you so much for the amazing video!!! It helped so much :)

[@BrettIsCliche]

Here is what I say has helped me remember the trig forms for the past several years Sin= O/H would be "Some Old Hippie" Cos=A/H would be "Caught Another Hippie" Tan=O/A would be "Tripping On Acid" "Some Old Hippie Caught Another Hippie Tripping On Acid"

[@LozsStuff]

This was an amazing, super clear explanation-thank you so much for making up this video!

[@fullthrottlequad]

At the problem of how high the mountain is, you must add how high your eye is from the ground if you taking the reading from an optical device. 10:14. great instructional video not fast or too slow. thx

[@partiplatisteducanadacanad266]

Wow thanks dude! I always wondered what these 3 things were used for by seeing them on my calculator other than doing periodic function for the sine

[@alexarreguin5297]

thank you , you just saved me, I got none of this cuz I snoozed in class now I can go to my test tomorrow and know how to do it, thanks!

[@moistboymcfacto6755]

Thanks, this really helped me understand this. I'm trying to get into Enriched Geometry for 9th grade.

[@sebulevpotante4531]

Thanks a lot, mate...You made it clear to me finally...

[@orthodox6893]

this is awesome explaining presentation

[@adnertga6559]

This video explained trigonometry better than my maths teacher!!!

[@shamus248]

3:35 clearly the red "a" line is longer than the green when lined up together, since the red triangle is bigger, but how do they both total 45.9 degrees?

[@angeloros8661]

the ratio of the 2 sides of the green triangle is 45.9%. Meaning the shorter side is 45.9% the length of the hypotenuse. And its the the same for the red triangle, the shorter side is 45.9% of the hypotenuse. Anybody in 2020 seeing this?

[@fmahdi7454]

Oh my God, your videos are so helpful :)

[@RedEyedJedi]

Thank you for the lesson man, very helpful.

[@zaphodbeeblebrox8496]

Very much appreciated. Thank you

[@declanfinn9319]

Good job! The video helped me a lot!

[@LovestrongLyrics]

Please help- freshman moved into a college prep course and I can't get out of it. I don't know when to use trig and how to know what angles to use in determining what's what- besides the hypotenuse of course.

[@benjaminjanowski3066]

Great video! Helped me a lot.

[@ryandavis2581]

Thanks mate, i completely understand trig now :D

[@ervindelrosario1615]

hi i have a question. my professor ask us to find for the other trigonometric functions of this given, TanA=[(x+y)^1/2]/x. we know that tan=o/a so i assumed that the numerator (x+y)^1/2 is the opposite side and the denominator is 'x' is the adjacent side. i did the pythagorean theorem to get the hypotenuse and it gave me this trinomial 'x^2+x+y which is not a perfect square trinomial so i just answered '(x^2+x+y)^1/2' as the hypotenuse.

[@kasenarriola4808]

Thank you so much this helped a lot

[@christyv.7785]

I'm learning physics online (God help me), and I am so thankful for this video. You're amazing!

[@Landofjello]

how to I evaluate 7.09km*tan(13.8degrees) without using a calculator?

[@עידושלום-נ2ת]

search in google calculator and do the math

[@fzero8821]

dude you are awesome! you helped me out so MUCH! Thanks have my subscribe and my like! :)

[@HBDynamo]

You explained everything very well up until 12:00min mark, "Type that into the calculator." Huh? My calculator (Sharp el-531) isn't working right (user error), I can't change from RAD to DEG. Is there another way on paper? In the meantime I will look for a web calculator.

[@peotricjr]

thank you!!!!! thank you!!!! thank you!!!!! When most instructors, I have had, attempt to teach trig functions, they always, always, always, seem to skip over the most important part -- what these functions REALLY ARE!!!!! They seem to expect the student to either, follow the application of the functions without question or that the student already knows and understands. This is a false assumption by these intelligent instructors.This is like a professional coach, of any professional sport, skipping over the fundamentals of the given sport during practice. they harm, rather than help their team. So again, thank you!!! this was a clear and direct fundamental explanation! Do you accept checks? I pay too much for university instruction and gain nothing anyway -- LOL.

[@smsjamespapa]

Thank you Sir so much. I appreciate your efforts.

[@tonytran3710]

how do you get 57.1 degrees? i got a different number. how did you put it into the calculator?

[@ervindelrosario1615]

then my prof checked my answer and he said that the numerator shud be the SinA and denominator shud be the CosA becoz TanA is also equals to SinA/CosA right? my question is how would i know if the given value is a/o and not sin/cos?

[@frediemccoy2004]

I would like to know how you got 27.3 and 62.7, I understand the 3,4,5 rule and I am giving 90 degrees?

[@abroze]

Nice Job and Thank you keep it up!

[@xNovaZ1x]

I was so close to throwing my coursework out the window because it didn't explain things very clearly. Your video has prevented unnecessary waste xD

[@phebee9731]

I know how to apply the theory but how does it work? How does the sine, cosine and tangent allow us to calculate the unknown sides/angles? Why can't I apply this function on triangles that does not have a 90 degree? I can memorize toa, cah, soh but I don't know how trigonometry works and how people thought of it to solve questions.

[@jeremiaskorach]

excellent explanation!!!!!

[@RB-nm3ko]

How do you multiply degrees times kilometers?

[@PoProstu_Ameryka]

11:55 cos-1???? How did he calculate it?

[@sahildhillon2859]

How do I know when to use cos sin and tan

[@MrRobot812]

Hi, I'm 13 years old and just reading ahead of class to know what's coming up. There's one thing I'm confused about, what's the point of using cosine if we could just change the position of the sine so the adjacent becomes the opposite. Thanks!

[@zues5877]

How do you come up with27.3 for angle I c a 90degree a +b=c would it be 45 just try to c were decimals come in

[@BatusaiJack]

This is actually Gold

[@rotheyoungofficial5274]

plz tell me how you got .459 i dont understand this at all.

[@aaryatallada3345]

help! im a7th grader studying for a test called PSAT and there will be questions like what is the value of cos(180degrees) how do i solve this

[@kilolimamikealphabravo7344]

+Aarya T To solve that in particular function, you first need a graphing calculator. Then you MUST switch it to degree mode, otherwise it won't come as the right answer especially for solving right triangles. Now you just hit COS on your calculator, then you simply type in the degree value, close the brackets, then you're good for your own equation there. For these types of questions make sure you use the right one for your equations, and you should be good. The hardest part for you will very likely be switching around the numbers, as a lot of people don't add it to both sides (see the end of the video) Does this answer your question? Anything else you need help with?

[@aaryatallada3345]

+kilo, lima mike alpha bravo yes, no, and thank you

[@kingabrar2338]

+Aarya T Yes he or she is right because it has to be on Degree (DEG) so that the function of Sin, Cos, or Tan is present and to do inverse sin, cos, or tan you have to either press Second Function (F) on your calculator or inverse (inv).

[@rolandmcrae6817]

One thing I am still having trouble grasping is how it is determined which angle theta will be. I get that it can only be two angles in the triangle, and forgive me if it was already explained, but does it matter which angle you designate as theta? I'm can't determine which side will be the opposite and which side will be the adjacent. I have a work sheet with the answers already written down, so I know if i get the right answer or not, but If I cant figure out which side is the opposite and which side is the adjacent then I wont use the correct ratio, and basically have to do it by process of elimination until i get the right answer. this wont work on a test though. Any takers? I know its simple but i struggle with math and this is just the worst.

[@GRIG0RYAN]

I love you. It's the best video

[@h.p.3072]

Years after I'm out of school and I finally understand this.

[@dm-ql9ez]

This is great keep it up

[@funitoo]

I thought I understood it all and then I got to the 12:01 part... and it stopped making any sense... how did he come up with the 57.1 degrees?

[@ellasmullen3130]

Tad Ka I just had to keep adjusting numbers.

[@YNGStREETZ]

i really find it useful

[@ianskinner241]

Really clear thanks!

[@flalasap]

in the mountain problem why is he using the tangent and not sine??

[@Thravyn]

Thank you so much! Ugh, this was so painful!

[@hallconner123]

Ok I know this is a stupid question but how do you know how many degrees to look up to see the top of the mountain?

[@arceepiloto]

but if you could that would be slick though haha

[@ArtOfBaccarat]

Might be late to answer this but you can use a tool(protractor) to look at the tip of the mountain and then have a string hanging down that will give you the angle. Wish I can draw you a picture.

[@diptonag5295]

Thank you so much it's help me like lot

[@xeycheii1610]

So, if you put sin(0)= what does the answer have to do with the triangle?

[@kk12181]

I think length of opposite side is also zero!

[@kk12181]

+kk as well as the other angle. So one more angle is 180 degrees. This is my guess.

[@Mureirsa]

11:59? I'm confused :(

[@BlackSailPass_GuitarCovers]

Very helpful!

[@imaslurpee]

yup it was!! thank you for your help!!

[@alicomando1195]

Is this How Gps Works For measuring Distance And Altittude?

[@TracerRO]

*But how?How do you get those answers...I understand the idea of cos sin and tan but i still dont understand how u can have an answer like 1.74km to an equation like 7.09km x tan(13.8) = height How did he calculated the tan.I understand the idea with the / things but i cant understand how he calulated it.Can someone help me?*

[@Abcd-cg3vh]

do u have a calculator?

[@Monstrikster]

Excellent. Thanks

[@terryjones4231]

nice lecture on this.

[@kittycat1506]

What grade do you learn this in Canada? I'm only a grade 8, so it's a little hard for me to understand, just want to watch this because this is pretty interesting for me.

[@kittycat1506]

***** Oh... It's at least good that I'm looking into this in grade 8 right?

[@kittycat1506]

Cryptic What country are you in, plus are you in a privet school, if you in a privet school, they teach you extra stuffs.

[@kittycat1506]

Cryptic Oh, I'm in Canada and catholic school, well I guess you learn more stuffs than me

[@nicholasmacneil6524]

grade 10 Edmonton catholic high school

[@LunaBlu123]

I'm learning this now, but i'm a grade 9 taking AP grade 10 courses. I'm from Vancouver :)

[@aoofmaster3002]

Nothing like watching what a consine is for game development at 4:50 in the morning

[@odileortell2762]

Very helpful! Another way of remembering is Sin - oh hell Cos - another hour Tan - of algebra

[@ozgurbin]

when opp is 2 and hyp is 4,5 what is sin??

[@rishi2ias]

what actually happens in the calculator?

[@emilyvozzo7058]

Jeffrey Fuller Make sure that you change your calculators "mode" to degree

[@randomfantastic1156]

Really helpful

[@rathodvijesh476]

Hii sir thanks for your class

[@elliottpalmer8745]

I still don't know how you got the angle. I don't have a calculator

[@olaberglund1776]

Brilliant!

[@petepecina6052]

This is useful!

[@Michael-lt4rq]

Fantastic, if someone doesn't know how to do it after watching this lord help them.

[@VegitoAttacks]

but if you start from the other angle and use sine you get a different answer??

[@freeyourmind9000]

thanks human!

[@gambart2002]

great explenation

[@DaniShannon]

So helpful!! :D

[@Oneeightseven6]

Thank you!!

[@arceepiloto]

i couldnt understand my book so i went on youtube... THANK YOU SO MUCH