Thank you so much Professor for continuing the precalculus playlist. It really warms my heart that kind people like you are providing us with wholesome content. And although there might not be many views or likes, we really enjoy your videos and methods to solving mathematics. My teachers back in school mostly would inform us about the laws and formulas without explaining them, but you make sure that we understand everything. Honestly may God bless you, please keep making these awesome lessons.

Professor Leonard, wonderful and generous people like you make the world a better place. My country is under sanctions so I have no way of contributing to your Patreon, but I will watch every single ad; I'd watch 50 ads per video if they were there. Thank you so much for making such a difficult subject seem easy. You're a brilliant teacher and a wonderful person.

I owe you all the math I've learnt so far. I just want to say thank you! Your calculus playlists are phenomenal! I'm learning physics and math by self-study and your videos were like a treasure to me! looking forward to watching your statistics course soon to brace myself for quantum mechanics!

Nice first time I found a video on the same day it posted!

Professor Leonard ,thank you for another fantastic video/lecture on Reciprocal Identities in Trigonometry. The Identities linked all Trigonometry functions together from start to finish. These Identities are used continuously in Science and Engineering.

Youre currently saving my life with calc 3 thank you!

I clicked on that notification so fast! I love trigonometry

@DamoJr73

3 жыл бұрын

I grew up hating trig.... now I teach it and it's one of my favourite parts of mathematics (Especially when combined with calculus)

THANK YOU Professor Leonard! Your videos are saving me in my trig class this term, I feel like my teacher is having us teach ourselves. Needed this :)

I'm astonished as there are no much recent comments really love this

My real math hero, Prof. Leonard!!!! Please keep posting more videos!!!

I’m happy seeing you uploading videos and doing great, thank you professor 🤍

Thank you, Professor Leonard!

some serious guns and well explained trigonometry in one video! Thank you so much!

Brilliant lesson, thank you! I'm well past school now but this is the first time those connections are actually being made!! Really looking forward to the next video in this series.

G.O.A.T is back

Excellent teaching watching from kerala India

Excellent!!!

Thank you professor

Clark Kent of mathematics

You lost me at the part where you said angle is in Q II. I didnt get it :( i tried to rewatch, still dont get it how it became negative? Sin is 12/13. theres no signs here, i thought its supposed to be positive

I want to buy a shirt as a thanks for getting me through calc 1-3 but I can't click the shirt link on your website. Do you have shirts available and if not will you soon?

Professor Leonard is there anyway you can do Discrete Mathematics series for computer science students

40:10 I paused the video 1 min earlier and spent ages on this problem because I was doing my damnedest to figure out how sin(theta)

Why not choose x=5 (positive 5)

Hell yeah

What textbook is used as reference for this precalc playlist?

@warrenweleck1910

3 жыл бұрын

He uses "Precalculus Concepts through Functions - A Unit Circle Approach to Trigonometry" 4th edition by Sullivan in his classes.

@mikhaeldito

3 жыл бұрын

@@warrenweleck1910 thank you!

Your videos are amazing. However, why don't you write steps on the board for students to easy follow what to do?

Can anyone give a really good explanation of WHY the reciprocal of sine is not called secant, and why the reciprocal of cosine is not called cosecant???? EDIT: Actually now that I think about it, cotangent is the reciprocal of tangent. Therefore cosine should be the reciprocal of sine. Secant should be the one that is defined as "adjacent over hypotenuse," and cosecant should be the reciprocal of secant! WHO'S WITH ME ON THIS?? Gimme a like!

@shravans7184

2 жыл бұрын

cosine is complimentary of sine ( sin60 =cos 30 combining both will give 90degree)

Ummmm, where do you teach?

@mirrormaster7170

3 жыл бұрын

California I think

Seems a little confusing in the last example that sin=y and y=-sqrt(3) but sin=-sqrt(3)/2.

@hris894

Жыл бұрын

sin=y is when the radius is 1. When the radius is 1, we have sin=y/1 - this is the same as sin=y, hence we omit the denominator. In the case of the last problem, the radius is 2, not 1, therefore we would have sin=y/2 or sin=-sqrt(3)/2

@loganjames960

Жыл бұрын

@@hris894 okay thank you for the clarification

May God Bless You Ola hu uber Har Har Mahadev

I think whoever gave the inverse trig functions their names did a terrible job at it....I mean it would make so much sense if co+secant would be the inverse of co+sine, I mean if you take out the "co" you're literally left with sine and secant

@bigw816

Жыл бұрын

that's my thought too, i dont know who named them, but they definitely did a very bad job

Ah no comments

@nyfyre3768

3 жыл бұрын

I was actually first too

Pro,have,you,ever,try,fasting, you,will,you,have,everything, and,ather,people,don't

@djt6fan

3 жыл бұрын

How much is a G? Asking for a friend.