Find the general solution of each of the following equations:

(i) 4cos² x = 1

(ii) 4sin² x – 3 = 0

(iii) tan² x = 1

To Find: General solution.

(i) Given: 4cos² x = 1 cos² x =

cos² x = cos²

Formula used: cos² = cos² = n , n I

By using the above formula, we have

x = n , n I

So the general solution is x = n where n I

(ii) Given: 4sin² x – 3 = 0 sin² x = = sin²

sin² x = sin²

Formula used: sin² = sin² = n , n I

By using the above formula, we have

x = n , n I

So the general solution is x = n where n I

(ii) Given: tan² x = 1 tan² x = tan²

tan² x = tan²

The formula used: tan² = tan² = n , n I

By using the above formula, we have

x = n , n I

So the general solution is x = n where n I