Question

The number of roots of the equation x + 2tanx = $\frac{\pi }{2}$ in the interval [0, 2$\pi$]

• A. 1
• B. 2
• C. 3
• D. infinite

Answer 1

The correct option is C

3

x + 2tanx = $\frac{\pi }{2}$ or tanx = $\frac{\pi }{4}$ - $\frac{x}{2}$

As seen from the adjoining graph three solutions are possible