Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23)

[@sangphan09]

I don’t even need to watch this. Just dropping by to show some love. You took me through Calc 1,2, and 3. Forever love you man!!

[@sakamotoDesuGai]

Literally

[@larche]

Same here. Absolute legend.

[@relentless.resell]

for real he is carrying me through calc 3 the real mvp

[@aaronmartin9906]

Professor, You've taught me calculus and Differential equations. Its time you teach me the arm routine.

[@2kchallengewith4video]

Nuff said

[@HelicopterRidesForCommunists]

Right?

[@HelicopterRidesForCommunists]

Gotdang

[@Jaws22C]

I Love all Leonard videos. I wake up in the morning. Do some Bible Study, followed by a Leonard video and I’m ready to take on my day… 😇 Best Math Videos Ever!

[@vidbot4037]

Greetings from Sweden. The statistics series is a complete life saver. Came in here just to show appreciation for your craft sir. You look like Clark Kent but you're even better. He's using his powers for good. You bestow your superpowers upon others. Thank you for everything you do sir.

[@Peter_1986]

Hah cool, I am from Sweden as well. :) Professor Leonard är fantastisk!

[@vidbot4037]

@@Peter_1986 Haha. Toppen. Han är outmanad! 🔥

[@connormichalec]

Wow amazing that you've been doing this for like 10 years and all for free. Huge props to you

[@Solver-mm2lk]

Great video! I watched your other videos too and they were all interesting and your always humble or never brag that you can do everything. I can't wait to watch more videos from you!

[@intuitiveclass6401]

My professor literally just finished reviewing this with us, and now you’re gonna help me get this down. Thank you

[@joshua-jayechan5015]

Professor Leonard a whole God 🙏

[@georgesadler7830]

Professor Leonard ,thank you for a short and sweet video/lecture on the Introduction to Using Trigonometric Identities in Precalculus. Transcendental functions and their identities are very important in Mathematics,Physics and Applied Engineering. In the final example, equal signs are missing.

[@Slenderman.]

Thanks for the helpful video, studying for a Precalc final.

[@red3987]

don't typically comment on videos, but your videos are great and you are an amazing teacher!!! Thank you so much!!

[@namotripathi3731]

Watching from india 🇮🇳 , I listened to many of your lectures, I am also telling my friends.I have prepared your lecture notes. Thank you sir

[@lulah3463]

20:29 yes, for the first time in my life, I see what you mean. Factoring is great.

[@HelicopterRidesForCommunists]

Your channel should be called “Math Chad”

[@Palestine-m3l]

From Iraq, we are studying this in the last stage of study and it is fun to study with an English teacher instead of an Arabic one to kill two birds with one stone, learning English and learning mathematics. 😅😊❤

[@ReyGotSumCents]

i have a few friends who were considering changing streams, they took science, and wanted to go commerce...then the best coincidence occurred and i found your channel...sent them the links to your videos, their reaction was "where was he? dude where was he? why do we find stuff out late? although that's better than never finding the it, but dude, where was he?"

[@Ballafalife28]

Thanks really good work

[@venusaddis4792]

God you are so amazing you brought me in maths heaven

[@Hunter-de3dx]

These videos are great!

[@hotman718]

thanks so much, this all seems above my pay grade but I am trying.

[@abdelrahmanrabie9016]

Hello professor from Egypt I hope you make a series for linear algebra.

[@DaKindnes]

Just what I need now doing robotics engineering

[@tedgreversiii1956]

Leonard looking like the chad meme

[@coreyrosteutcher8429]

Thank you been needing this rn

[@Tzone02]

Great vid! Keep it up

[@marktravelinPI]

i watched this video and at 21:07 i did the problem differently and would like to know if it was a option, or did i just get lucky when i came out with the right answer. Instead of factoring i split it in to 2 fractions. cos(sqrd) over cos(sqrd) and - 1over cos. help.. lol... i later followed your video and did it the way you did it and got the same answer. Just luck? Thanks.. love your videos.. happy to support your channel..

[@kassidydavis5565]

this guy canceled the phrase "all brawn and no brain" XD what a great teacher!

[@Alex-jo2oi]

So I’ve been acing Precalculus up til now. Memorizing these identities and using them to simplify is so damn hard.

[@firstdbzmaker]

Please do a series on Linear Algebra!

[@HimuraK1]

Could we also convert the second example to tangent + cotangent? Write two fractions, then with exponent rule: sin^2 / sin * cos + cos^2 / sin * cos = sin / cos + cos / sin = tan + cot?

[@burrybondz225]

That is what i got as well.

[@sumoattack7510]

oh my god he is literally identical to the superman and why didn't anybody notice that

[@brenofilho3320]

professor, will you be reviewing analytic geometry? thank you

[@dhaneshamirpuri7059]

Hey Professor! Any plans on teaching a course on Analysis or Theory of Prob!

[@NitishKumar-eq8vz]

Hlo

[@isaaclomas1304]

Hey professor Leonard love the videos I was wondering when you were going to start making videos for differential equations again ?

[@AdityaSingh-sb4ck]

I am too waiting for them

[@nathanhawey294]

@@AdityaSingh-sb4ck hello,is this uni maths?

[@AdityaSingh-sb4ck]

@@nathanhawey294 nope it isn't but it will be really helpful if he makes some more videos on differential equations

[@Peter_1986]

@@nathanhawey294 This particular playlist is probably high school math, although a lot of courses seem to be covered both in high school and in university; for example, a lot of the topics in professor Leonard's Calculus playlists are introduced in high school, but they also tend to be treated as first-year university courses - especially more hardcore topics such as Gauss' Theorem, as well as various proofs. The first _advanced_ math course is probably "Partial Differential Equations", which is a rather complicated course where you use various "cookbook methods" in order to solve differential equations that rely on different variables, like for example weird things such as the Fourier Series, the Sturm-Liouville equation and Hilbert Spaces. In fact, that course tends to be entirely based on 3 specific equations (the Diffusion Equation, the Laplace Equation and the Wave Equation); and believe it or not, but those 3 equations alone will keep you very occupied throughout that entire course.

[@ayrthhhn]

He said he will continue and finish it after he's done with Precalc

[@The_Angry_BeEconomist]

I should have watched this before doing the calc 1-3 videos

[@ojingaj30]

Bravo!!

[@SahilSharma-sq4rn]

Thank you so much Professor Leonard for your videos covering Calc 3 topics! They’re super helpful and helping through a rough time! (Also, just as I side question…what is your workout regimen? Just like your KZbin profile picture you are jacked like Superman!)

[@CCapsule]

Professor, are you gonna make Linear Algebra vids?

[@Peter_1986]

Yes, he mentions Linear Algebra in the video "Professor Leonard's Important Announcement 2019".

[@therandomperson9627]

for the 2nd example I simplified it to tan(x)+cot(x) because I separted the fraction and had sinx/cosx=tanx; cosx/cosx=1; cosx/sinx=cotx; -sinx/sinx=-1. then combine like terms give tanx +cotx. would that be most simplified?

[@danamcdaniel3595]

Thanks for the great video. I'm just confused about one thing: When you cancel out (cosθ-1) from the numerator and denominator, why don't you need to specify that cosθ can't =1? Also it seems that that restriction wouldn't be true of 1+secθ, so why would they be equivalent?

[@geniusmathematics9123]

Sir Last 7yr u didn't change yrsf

[@posie7617]

Thanks:)

[@adamoja4295]

Nice arms Leonard

[@ForumCat]

Looks like he has been doing some pretty heavy maths.

[@Kaipharuss]

I was wondering If you can make a video explaning fynman's integration technique

[@brandiiiiine]

I am so confused on how to do this. Btw this is me before watching this video.

[@nathanhawey294]

Is this Univeristy maths. Can I self teach uni maths through this.

[@Peter_1986]

This is slightly before university math. The first math courses that I studied during my first year in Engineering Physics were Calculus 1, Calculus 2, Calculus 3, Differential Equations and Linear Algebra, and Professor Leonard has playlists on all of those courses except for Linear Algebra (which he intends to cover in the future, according to what he said in the video "Professor Leonard's Important Announcement 2019"). If you want to be as prepared as possible for those courses, then you might wanna watch the videos in the playlists "Prealgebra", "To The Point Math (TTP Videos)", "Intermediate Algebra" and "Precalculus", in that order. The Calculus courses can then be viewed in numerical order (1-2-3), then "Differential Equations" can probably be tackled after you have finished "Calculus 2", and "Linear Algebra" is probably manageable after "Precalculus".

[@princessmonicakhaira]

I’m a drywaller but always been curious about math . When is this needed ?

[@Peter_1986]

Trigonometry is used for a lot of things; one simple example is that it allows you to find sides or angles for triangular shapes, like for example you can use the tangent function to calculate the height of a wall by measuring the distance away from it and the angle with the top of the wall at your own location. It is also used for anything that has a periodic or vibratory nature, like for example music and wave motion, since waves and vibrations can usually be modelled as trigonometric sine and cosine functions. Note that this playlist requires knowledge of arithmetic as well as fundamental algebra and geometry, so if you want to go through this playlist, then you should make sure that you are comfortable with those topics; those topics are covered in chronological order in the playlists "Prealgebra", "To The Point Math (TTP Videos)" and "Intermediate Algebra".

[@princessmonicakhaira]

Thank you for your time .

[@rohanswer5091]

Dude's ripped

[@kukunaokalabegay5586]

Ok I got one: "Tren-gonometry"

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It's hot in here

[@SomaaSomaa-y2j]

طالبه سادس داقرة هنا ضيعت عمري اتابع حيدر وليد😔

[@zatch5166]

Sorry professor, I'm afraid I'll have to alert the authorities. Last I checked guns weren't allowed in class

[@paky3052]

first comment

[@ayrthhhn]

no