Which of the following corresponds to the principal value branch of tan-1x ?

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Solution

Q.
Which of the following corresponds to the principal value branch of $\tan^{- 1} x$

1 $(- \frac{π}{2}, \frac{π}{2})$

2 $[- \frac{π}{2}, \frac{π}{2}]$

3 $(- \frac{π}{2}, \frac{π}{2}) - {0}$

4 $(0, π)$

Ans.
(1)

Ans. $(- \frac{π}{2}, \frac{π}{2})$

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