prove that sin(A +B) = SinACOS B+COSA SinB
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Here, is a proof without using complex numbers from Apostol.
Here is a proof without using complex numbers, from Apostol.
sin(A+B)
=−cos(A+B+π/2)
=−cosAcos(B+π/2)+sin(A) sin(B+π/2)
sin(A+B)
=−cos(A+B+π/2)
=−cosAcos(B+π/2)+sin(A) sin(B+π/2)
=SinACos B+CosA SinB
Assuming you can prove the formula for the cosine, of course, which Apostol gives as a property of the cosine.
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