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Choose the correct option.
If a + π/2 < 2tan⁻¹ x + 3cot⁻¹ x < b, then a and b are respectively:
If $a + \frac{\pi}{2} < 2\tan^{-1} x + 3\cot^{-1} x < b$, then $a$ and $b$ are respectively:
- (a)$\frac{\pi}{2}$ and $2\pi$
- (b)$\frac{\pi}{2}$ and $-\frac{\pi}{2}$
- (c)$0$ and $\pi$
- (d)$0$ and $2\pi$
Answer
Answer
Official answer keyCorrect option: (a)
Answer: (a) $\frac{\pi}{2}$ and $2\pi$