Question

Prove that 2 sin(x) cos(y) = sin(x + y) + sin(x − y).

Answer 1

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

Answer 2

Step-by-step explanation:

hope this will help you....