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Which of the ...

Question

Which of the following is the principal value of ${cosec}^{- 1} x$

A

(- \frac{π}{2}, \frac{π}{2})

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B

(0, π) - {\frac{π}{2}}

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C

[- \frac{π}{2}, \frac{π}{2}]

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D

[- \frac{π}{2}, \frac{π}{2}] - {0}

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Solution

The correct option is D $[- \frac{π}{2}, \frac{π}{2}] - {0}$
We know that, the principal value of ${cosec}^{- 1} x$ is $[- \frac{π}{2}, \frac{π}{2}] - {0}$

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