The number of solutions of the equation
`e^(|sinx|)=sec x` for all ` x in (-pi//2,pi//2)` is/are

Options

A. 1
B. 3
C. 5
D. 2

Answer

B

Explanation

Clearly, curves `y=e^(|sin x|)` and y=sec x intersect at three points for all `x in (-pi//2,pi//2)`.
Hence, the given equation has three solutions in `(-pi//2,pi//2)`.