Question

The number of solutions of the equation tanx + secx= 2cosx lying in the

Internal [0,2$\pi$] is

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is C

2

2$si{n}^2$ x + sin x - 1 = 0 ⇒ sin x = $\frac{1}{2}$, -1

sin x = -1 ⇒ x = $\frac{3\pi }{2}$ Which does not satisfy the eqaution

∴ sin x = $\frac{1}{2}$ ⇒ x = $\frac{\pi }{6}$, $\frac{5\pi }{6}$