Question

Find A if sin x + sin y=2sin(x+y/2)cosA​

Answer 1

sin x + sin y=2sin(x+y/2)cosA

according to formula

sinx+siny=2sin((x+y)/2)cos((x-y)/2)

so

sin x + sin y=2sin(x+y/2)cosA

A=(x-y)/2

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