Question

Verify the identity

sin (π/2+θ)+sin (π/2-θ)=2 cosθ

Answer 1

Answer:We know that

π/2=90°

sin(90°+x)=cosx

sin(90°-x)=cosx

On solving LHS

sin(90°+x)+sin(90°-x)

cosx + cosx

2cosx

Therfore, LHS = RHS

Hence, proved