Prove that general solution of `sintheta=sin alpha` is given by `theta=npi+(-1)^n alpha, n in Z`

Prove that the general solution of sin theta=sin alpha is given by : theta=n pi+(-1)^(n)alpha,n in Z

Prove that the general solution of tan theta=tan alpha is given by : theta=n pi+alpha,n in Z

Prove that the general solution of cos theta=cos alpha is given by :theta=2n pi+-alpha where n in Z.

Prove that general solution of tan theta=tan alpha is given by theta=n pi+alpha;!=psi lon Z

Prove that the general solution of cos theta=cos alpha is given by theta=2n pi+-alpha; where quad !=psi lonZ

(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

Prove that: sin^(2)theta=sin^(2)alpha, then theta=n pi+-alpha,n in Z

One of the general solutions of 4sin theta sin2 theta sin4 theta=sin3 theta is (3n+-1)(pi)/(12),AA n in Z(4n+-1)(pi)/(3),AA n in Z(3n+-1)(pi)/(12),AA n in Z(3n+-1)(pi)/(3),AA n in 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

The most general solution of theta satisfying the equations sin theta=sin alpha and cos theta=cos alpha is