Answer
Ans. Proved LHS=RHS
cos(π/3+$\theta$)+cos(π/3-$\theta$)=cos$\theta$
Work Step by Step
Given:-cos(π/3+$\theta$)+cos(π/3-$\theta$)=cos$\theta$
Taking LHS
=cos(π/3+$\theta$)+cos(π/3-$\theta$)
Let use the given identify
cos(A+B)+cos(A-B)=2cosAcosB
=2cos(π/3)cos$\theta$)
=2×{1/2}cos$\theta$
=cos$\theta$