Visual proof of sin(A+B) and cos(A+B) in one picture

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A short intro on my method of approaching formulae and the visual proof of the sine and cosine of a sum of angles, in one picture. #KAIndiatalentsearch
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I spent hours trying to find a more visual, intuitive explanation for the sum and difference identities and couldn't find anything beyond algebraic proofs (which helped a little to show where the identities derived from but did little to elaborate on their relationship to something tangible). Thank you for your video! I never comment on videos but this was such a big help to me and my understanding of this topic. So glad I found this before my exam tomorrow 🙌

caitidowns
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I have searched for an intuitive explanation of this concept, and I have to admit, this is very clear and insightful.

sungymungy
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I couldn't agree more with u on the understanding part. Good video

tachles_math
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I love this proof... its clear and clean....

its intuitive and insightful...

let me state the obvious for anyone who is as blank as myself... each 90deg is composed of (alpha, beta and gamma)... once you identify any 'single term' in any of the triangle... the other angles are either
a 90deg right angle... or a composition of the two missing terms...

hope I helped someone.

zavianwilson
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Wonderful, easy and fluently proves. Especially I like it because you showed it with using unit circle.

davutselamiozkahraman
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Keep up the good work. Good luck for your YouTube career. We really need teachers with the kind of mindset you mentioned at the start of the video.

gaurav.raj.mishra
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I am an abituriend from Russia and would like to glad you for this explanation

АйдарШакиров-ху
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Very clear and very helpful, thank you.

GSMusicMusic
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Very nice. In single concept, two proofs are done.

DurgaraoRamakrishnaAdari
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Proof sin(a+b) in unit circle taking (a+b) greater than 90 degree

shivam-kharkhate
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I guess I am going to jail for a long time

randomindianguy
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طريقة ممتازة وتبدو سهلة لفهم كيف تستنج العلاقات المثلثية لمجموع اعرف طريقة الجداء وتعلمنا طريقة لكن هذه جميلة تعلمت طريقة المستطيل وحساب مساحات... داخل مستطيل.... الانترنات.... سهلت الكثير لمن يريد فكيف يكون الحال مع الذكاء

theparadise
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loved your video! very interesting and elegant proof, and very clearly explained!

GyaneshwaranG
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Thanks very much for this. Very helpful.

simonwax
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its 1am and my brain is fried so quick question why is alpha in the green triangle?

Giga_Chad_
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I think it would help greatly if you could explain why you multiply inner sides to get the outside.

KevinLuke
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Skp to 3:00 if you just want the proof without a lengthy into

adamsaher
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nice video good work .... please what is the name of the program you use

MedTronic
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Is this visual representation enough as a proof?

ChechoColombia
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Very sad to see you post no more, , , , what happened to you?

rnd_penguin