MCQ
Find the principal value of $cosec ^{-1}(2)$
- ✓$\frac{\pi}{6}$
- B$\frac{\pi}{2}$
- C$\frac{\pi}{3}$
- D$0$
Then, $cosec y=2=cosec \left(\frac{\pi}{6}\right)$
We know that the range of the principal value branch of $cosec ^{-1}$ is $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}$.
Therefore, the principal value of $cosec ^{-1}(2)$ is $\frac{\pi}{6}$
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