Prove that 2 sin(x) cos(y) = sin(x + y) + sin(x − y).
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Step-by-step explanation:
RHS= sin(x+y)+sin(x-y)
= (sinx cosy+ cosx siny) + ( sinx cosy- cosx siny)
= sinx cosy+ sinx cosy
= 2sinx cosy
=LHS
PROVED
FORMULA USED
SIN(A±B)= SINA COSB ± COSA SINB
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