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