How to Prove Trigonometric Identities (Precalculus - Trigonometry 24)
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- Опубліковано 27 чер 2024
- A very in-depth look at proving trigonometric identities. Several techniques are explored in many different examples of solving trig functions.
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Don't hesitate about posting long videos Prof, it's actually even better for us students! Thank you as always
Professor Leonard !!! You got me through call 1,2,3 I wish you did higher level math. I don’t know how I am going to complete my Batchelor’s without you!! Where is the number theory course, topology, advanced calculus 1,2, analysis!!!.. THE WORLD needs you. Love all your videos thank you so much for all you do. Best math professor I have ever had!!!
These lectures are on UA-cam. Please google lectures on Number Theory, Topology, Advanced Calculus ,etc.
You have literally corrected all the poor teachings from two professors before my current class. In 5 hours of going back through your videos, you have filled all my gaps. Its sad, because most professors just teach you how to solve things. You explain everything that's going on so the student really understands. Grateful for your videos. Thank you so much
I don't know what I would do without your videos... I've been scared of everything with trigonometry for my whole life and recently failed a math course so I finally had to take on the problem. I've been watching every video and actually it's really not that hard!!!! The way you explain every 'obvious' detail and every seemingly simple thing so well. Thank you so much!!!
I'm enjoying this class so much! I feel like a detective solving a mystery with each equation
Good Afternoon Professor Leonard,
I'm not a student of yours but I gotta say good job on them gains. I've been watching your videos and you're doing great man.
Best,
Helen
Thank you so much you saved my precalculus grade! I feel like all of the other teachers that have taught me don’t break it down enough like you’re able to do
Finally there is someone who think about us ( students who learn a little bit late and who want more explanation by teacher). Love you professor
WHERE HAVE YOU BEEN ALL MY LIFE???? THIS IS AMAZING!!!!
That was fun. I would love it if you could link to practice problems! I find doing stuff on my own helps a lot more than just following, but you have been so helpful to me and helped me discover my passion for learning. I plan to keep watching you all the way to calculus 3.
Professor I know you're a busy man, but I'm in dire need of these videos lol. Please save my soul
I'm amazed, he is so incredible, great and clear explanations!
It has been 2 years since I graduated. You are basically my UA-cam teacher during my Uni days. I scored really well on all my engineering math modules thanks to you Professor Leonard. Looking at your video again, reminds me of all the grinding I went through with your videos. It was all worth it. Every second of the video is worth the watch. Thanks to the UA-cam algorithm, I am able to chance upon one of your videos to give my thanks and appreciation.
That's so wholesome, happy for you that you made it! Hard things that aren't easy obtainable give the most joy when finished.
Professor Leonard!!! Didnt know he was still making videos. I've been on differential equations for two semesters now aahaahha. Glad to see it!
Professor Leonard ,thank you for another awesome video/lecture on How to Prove Trigonometric Identities in Precalculus/Trig. The Trigonometric Identities are helpful when writing proofs in Trigonometry. In Advanced Mathematics writing basic proofs is an important tool for students in Mathematics, Physics and Engineering.
This is great! I'm glad i can watch this for review
You're the best math
professor ever!
i was just watching a calculus 3 vid and saw the update! You're the best math teacher i ever had :(
When are we doing to starting funding the Professor Leonard archive foundation? We need to preserve these videos 📹 forever. #priceless
i hope we figure out something, this man and his videos are priceless.
Thank you. Your videos are fan-friggen-tastic. Very good at what you do.
Been excited waiting for you to drop a lecture about this! I’m in calculus 1 now but I’m sure these will save my life somewhere in the class. Thank you so much for all that you do!
how are you liking calc 1 so far? Any pointers?
@@l.b9108 oh I love it! Back in high school i took algebra 1, 3 times. I will admit that the algebra and trigonometry is so important. It’s the reason why I’m here even though I’m in calculus haha
Perfect timing, thank you!
Pro tip: if you forget any of these, you can derive most of them from Euler's identity e^(ix) = cosx + isinx, probly not for pre-calc though
thanks bro
nvm im in pre-calc
WHOA!! BRAVO!!!
I love you prof Leonard.
My trick during these kinds of proofs is to turn everything into sines and cosines.
Probably a fairly awkward strategy in some situations, but it does seem pretty reliable.
I'm enjoying this class, I think bit by bit I got slowly coz trigonometric identities are sometimes a bit difficult for me,
Much love ❤️❤️❤️
keep it coming
I don't understand 47:20. Factor what? And why did a sign in the denominator randomly change?
He is factoring out the negative from the expression - sec theta + 1 if you think about the whole thing as being (sec theta - 1 ) * -1, then you can rewrite it as -1(sec theta -1) and finally you remove the 1 from the parenthesis because in math if you multiply something by 1 or -1, it is the same as the original number, just with a sign change if it's -1. For example, we would instead of saying 1(5x) just say 5x, but we would write -1(5x) as -5x. That 1 at the beginning is always there, it's implicit, but we hide it away for better readability/redundancy. I hope that helps.
Saludos desde México 🇲🇽 profesor
Cool staff 🔥🔥
Any linear algebra lessons 🥺😭😭😭please
I had a dream last night that I accidently opened the door to Professor Leonard's bedroom while he was innocently sleeping, because I thought it was a jean jacket emporium. And I felt soooo bad because I thought he must get thirsty students having "accidents" like that all the time o.0
lmao
I don't understand any of this, I'm just enjoying the view.
pls do linear algebra
I don't understand anything from here, am just enjoying the view😂
WHEN WILL YOU BE TEACHING LINEAR ALGEBRA??? 🙃
In the example at 25:00 . wouldnt it be easier if you subtracted both sides by cos^2 theta, then just divide everything by 3?
should have watched these vids before doing his calculus stuff years back
Somehow for the answer to 22:47, I worked out that both were equal to tan^2theta but I feel like I missed something lol
For beginning.
so buff.
Need to change your channel name to Yoked Maths
How to make a contact with you in zoom app😊😊
25:00 easier to subtract Cos^2 from each side then you have Sin^2+Cos^2, so 3=3.
that last example is a bit hard hahaha
First!
first omg
Sir are you married?
Ring spotted. Sorry dawg
Professor I know you're a busy man, but I'm in dire need of these videos lol. Please save my soul