Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent 

Yikes, it looks like I accidentally used numbers for the side lengths in the checking comprehension that don't abide by the Pythagorean Theorem! How embarrassing. Luckily it doesn't really change what you're doing, but my apologies for this ridiculous error anyway.

God, I hate trigonometry. This was helpful though

i can't believe im using this for minecraft...

when I mostly needed it thanks Jesus

When I was in college, I used to joke that I’d name my daughter SOHCAHTOA and my son IUPAC. You’re a chem guy so you’ll get that. Yeah, I love it that much.

I am going down a rabbit hole; I started from cellular membrane potentials to electricity to electron fields to the electrodynamics to the quantum mechanical definition of energy to chemical bond energy to atomic orbitals to Schrodinger's equation to trigonometry. The moment I heard "SOHCAHTOA" brought back a flash of highschool physics classes. I wish i paid attention in highschool.

I really love the approach you take to working with these concepts. I have been running away from any form of math for over 50 years, but, now, thanks to your vids, things are making sense, and I am really enjoying spending time taking notes and solving problems.

0:12 Hollow knight jump scare.

Hi Professor Dave, I wanted to ask if these functions for all triangles or only for right triangles(because you mention hypotenuse). If they only work in right triangles, in the comprehension check, you listed a triangle with legs 8 and 3 which wouldn't have a hypotenuse of 11.

I feel like a genius after learning “SOHCAHTOA”

The title Prof. and the into were enough for me to sub hahaha. (I'm a C programmer btw, but my terrible past in school made me have to go back to this stuff haha. Life's weird.)

Thank you very much! Finally, I understand something after one semester of no understanding

Prof owe you!! No other like you or somewhat near to be like you.. have ever came up! ❤️

who else is cramming for trig the night before their final exam 🙋

Here is some wisdom, don’t take precalculus as a freshman. Not fun.

I took a look at your channel, and I have lots of respect for you. Multiple playlists about different subjects, and all of such high quality. I watch this videos everyday, because I dream to just be good at math, and there is already a lot of improvement. I have been watching since December, it is March now. Thank you, from the bottom of my heart.

Thank you so much professor, really that helped me alot

GOD THANK YOU FOR THIS GUY !!!!!!!!

Thank you, thank you, thank you, thank you, THANK YOU! Jeez been stuck on college precal on this. I'm like, "WTF IS SINE!" The book we were provided didn't have the SOHCAHTOA abbreviation. That's so awesome!

An 8-11-3 right triangle?!😂

I learned more in 7 minutes than my teacher taught me in a month

thank you math Jesus

Wow, this was some seriously good explaining.

"The sine of theta" sounds like an Elder Scrolls quest

Professor Dave ,thank you for a short and outstanding video on Trigonometric Functions. These classical Trig functions are the heart and soul of Trigonometry.

Some Old Horses Can Always Hear Their Owners Arrive

I didn't think I would learn 6 trigonometric functions from a 7 minute youtube video. This was really helpful

I was waiting for these certain tutorials for four months!!!!

Great tutorial (addendum corrects errors so no biggie). May I ask what you used to animate starting at 0:25? It's neat and clear.

Subscribed, very good graphics and explanation 👍

Hi, I have a question; @4:44 for the 30-60-90 triangle why is one side square root 3. I understand it's a rule but what's the reason or method of finding that? (I didn't see the geometry videos)

I just memoize the most important results to remember, which ratio is sin/cos/tan

I was looking for this topic for my game engine and look who I found, its Chemistry Jesus ☺️. Thank you Chemistry Jesus

My sincere gratitude to you, professor Dave.❤

I’m confused, you didn’t derive any of the functions, you just stated them.

I am just here because I need more info on the tan, sin, cos, cot, csc, sec, floor, and ceiling, blocks in scratch and yet here I am, a 12 year old at 8:54 learning trigonometric functions. I also have a B in math.

Still clueless, but I did jam a melody to the music at the end. Win!

what is the purpose for having a reciprocal of original trigonometric functions if it is basically just reversing the position of lengths in the ratio?

6:35 Are you joke? A triangle with sides 3, 8, 11 does not exist!

@Professor Dave Explains I just wanna mention that the triangle at 6:19 wouldn't even be a triangle since 8+3=11, meaning the triangle would be a line..

God, I love trigonometry. This was helpful though

I've been living in cyprus for less than 2 years and my greek is not so good, so I can't understand the trigonometry easily but THIS guy can help me learn it on my second language Which os english(yeah I'm flexing) and translate them into greek So thank you legend

Ifsec(x)cos(x)=sin(x), how does sec(π/2)cos(π/2)=sin(π/2)=1?

the best teacher on the internet

S O H C A H T O A 🤝🏻

Hello, but 8,3 and 11 is not a Pythagorean triple 😇

legendary. thank u so much. i skipped this in high school

i dont get its since my teacher puts x and a number and you dont know what the length of the other side and he gets x= 3/2 and y= radical 2/2

SOHCAHTOA reminds me of HAWK TUAH for some reason

Wow. My self surrendered to this explanation

From the best RU-vid teachers

u r just fantastic!! youtube justified its existence with you;

In the hyperbolic functions video, you explained that sinh x = e to the x - e to the -x all over 2. Is there a formula like this for the regular sine (or any of the other functions for that matter)?

3:37 don't get confused between substitution a=a and a=b

I have not intest for trigonometry 😢😢😢😢

Thank god I can watch a quick review before my math final today

I want to learn this to impress my class

Your explanation is truely excellent... It clear so much concept of my Trigonometry..

Instead of sohcahtoa I prefere OHAHOA Oscar had a hold on Arthur

also CHOSHACAO

You sir are single handedly saving my butt this semester

What grade maths is this in the US ?

this helped me with my maps test lol

Thank you so much sir, this was really helpful ❤️❤️🙏

You lost me at 5:20. I don't understand why we use root 3 on the adjacent leg.

if theta is an angle in right angle triangle it should be compulsorily acute angle then why we care about 2,3,4 quadrants please respond

1. Some People Have = Sin0=Prependicular/hypotenuse 2. Curly Brown Hair =Cos0=base/hypotenuse 3.Tidy Pant Bushet=Tan0=prependicular/base

a 3,8,11 is not a right triangle common man

Why am I watching this when I'm in eighth grade

3 + 8 = 11 is a straight line, not a right triangle, crazy.

Thanks Jesus

My comprehension is not comprehensing

Isn't that the chemistry jesus?

thank you math jesus

Sir where did square root of 3 come from

Prof i love your chanal so much i considered subscribing

Dave, you're awesome!!!

thank you so much. I cant tell you how much easier this made my life

Hi❤❤❤

After much practice I totally get it

Good

Wish there is acronym for the other 3

you are a legend bro All Love For You

Seventh grader, anyone?

Thank you ❤😊

It help me a lot, thanks

thank you very much!❤❤❤

SOHCAHTOA

thank you charlie white

Thank you, I can understand math better at school now!

Thank you so much sir for this valuable content that you are providing for free. May god bless you 😊.

Amazing No words to describe you Love from India❤️

4:35 As we recall from geometry

"We can remember these definitions using the mnemonic SOHCAHTOA." Theoretically, but I haven't and I won't. Why opposite over hypotenuse and not hypotenuse over opposite and how do I know if it's the sine, cosine, or tangent without remembering the mnemonic and turning that back into actual words and applying them to a triangle I've drawn to help me picture a fictional line, or by trying all of them and seeing which gives a plausible answer? Is there such a way, or are those the only ways we know of to know which formula to use and if the answer is a tangent, cosine or a sine? Because if that is so, it seems pretty arbitrary to me and I will never remember it and I rather reinvent the whole sine, cosine, and tangent thing my own way so it makes sense to me. At least your circle animation helped me see why when put in a graph they make waves, so that helped. Thanks :) The thing that made it helpful is because I was able to see the logic of it. If I can't do that, I won't remember shit. If the logic is: that's how we calculate yada yada, I've already lost interest - it's too situational; I"m not going to care. People do it that way that I hate, fine. It works for them and it will be done without me just fine. Thanks then for doing it without me. We're done, I'm moving on.

A month of maths in 1 video

مزخرف و خزعبل ناب است

All the respect to you, Sir ❤

👍👍😌

wtf bro

PBP HHB