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1:01
YouTube
First Principles
angle addition theorem #SoME4
visual proof of the identities cos(a+b) = cos(a)cos(b) - sin(a)sin(b) and sin(a+b) = sin(a)cos(b) + cos(a)sin(b) (EDIT) Khan Academy already has a video on this: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:angle-addition/v/proof-angle-addition-sine
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