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Which of the following is the principal value branch of $\text{cosec}^{-1}x$?

$\begin{array}{1 1}(A)\quad\bigg(\frac{-\pi}{2},\frac{\pi}{2}\bigg) & (B)\quad(0,\pi)-\left \{\frac{\pi}{2}\right \}\\(C)\quad\begin{bmatrix}\frac{-\pi}{2},\frac{\pi}{2}\end{bmatrix} & (D)\quad\begin{bmatrix}\frac{-\pi}{2},\frac{\pi}{2}\end{bmatrix}-\{0\}\end{array}$
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Ans (D) \( \bigg[ -\large\frac{\pi}{2} \:\large \frac{\pi}{2} \bigg] - \{0\} \)


answered Feb 18, 2013 by thanvigandhi_1
edited Mar 16, 2013 by thanvigandhi_1
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