Question

If $a + \frac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b$ then 'a' and 'b' are respectively.

• A. 0 and 2$\pi$
• B. 0 and $\pi$
• C. $\frac{ - \pi}{2}$ and $\frac{\pi}{2}$
• D. $\frac{\pi}{2}$ and $2\pi$

Answer 1

Answer: (D)

$\frac{\pi}{2}$ and $2\pi$

Answer 2

$a+\frac{\pi}{2}