Find the general solution of each of the following equations:
(i)
(ii) cos x = 1
(iii)
To Find: General solution.
(i) Given: sin x =
Formula used: sin = sin = n + (-1)n , n I
By using above formula, we have
sin x = = sin x = n + (-1)n .
So general solution is x = n + (-1)n . where n I
(ii) Given: cos x = 1
Formula used: cos = cos = 2n , n I
By using above formula, we have
cos x = 1= cos(0) x = 2n , n I
So general solution is x = 2n where n I
(iii) Given: sec x =
We know that sec cos = 1
So cosx =
Formula used: cos = cos = 2n , n I
By using above formula, we have
cosx = = cos x = 2n , n I
So general solution is x = 2n where n I