The general solution of `cos theta =0` is

A : The general solution for cos theta = 3//2 is theta = 2n pi pm Cos^(-1)(3//2) R : The general solution for cos theta = k is theta = 2n pi pm alpha, n in Z where 'alpha' is principal value, alpha in [0, pi] and |k|le 1

(i) Prove that general solution of sin theta=0 is given by theta=n pi;!=psi lonZ( ii) Prove that general solution of cos theta=0 is theta=((2n+1)(pi)/(2));!=psi lon Z

(iii)Prove that general solution of tan theta=0 is theta=npi; n in Z (iv)Prove that the general solution of cot theta=0 is theta=(2n+1)pi/2, n in Z

Find the general solution of cos^2 3theta=0