Mark the Correct alternative in the following: The general value of x satisfying the equation is given by

Question

Philoid · Accepted Answer

Cos²x=(√3-√3sin x)²

1-sin²x = 3+3sin²x-6sin x

4sin²x-6sin x+2=0

2sin²x-3sin x+1=0

sin x = 1 or 0.5

We know,

x = nπ + (-1)ⁿθ

Therefore, the values of x are

So, these values are obtained for different value of n from the equation

So, Option B