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