Find the general solution of each of the following equations:

(i)

(ii)

(iii)

To Find: General solution.

(i) Given: sin 2x =

Formula used: sin = sin = n + (-1)ⁿ , n I

By using above formula, we have

sin 2x = = sin 2x = n + (-1)ⁿ . x = + (-1)ⁿ . , n I

So general solution is x = + (-1)ⁿ . where n I

(ii) Given: cos 3x =

Formula used: cos = cos = 2n , n I

By using above formula, we have

cos 3x = = cos() 3x = 2n x = , n I

So the general solution is x = where n I

(iii) Given: tan =

Formula used: tan = tan = n , n I

By using above formula, we have

tan = = tan = n x = , n I

So general solution is x =(3n+1),where n I