Hello, fardeen_gen!

Number of solutions of the equation: . is

. .

Let: . .[1]

. . Hence: . .[2]

Substitute [1] and we have: .

Take the tangent of both sides:

. .

. .

. .

Substitute [2]:

. .

Multiply by the LCD,

. .

This simpifies to: .

. . which factors: .

Then: .

There aretwosolutions . . . answer (C).