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Question: Answered & Verified by Expert
The range of \( \sec ^{-1} \) is
MathematicsInverse Trigonometric FunctionsKCETKCET 2017
Options:
  • A \( \left[\frac{-\Pi}{2}, \frac{\Pi}{2}\right] \)
  • B \( \left(\frac{-\Pi}{2}, \frac{\Pi}{2}\right) \)
  • C \( [0, \pi] \)
  • D \( [0, \pi]-\left\{\frac{\Pi}{2}\right\} \)
Solution:
1058 Upvotes Verified Answer
The correct answer is: \( [0, \pi]-\left\{\frac{\Pi}{2}\right\} \)
Given that, \( f(x)=\sec ^{-1} x \)
Since, the given function is not define at \( \frac{\Pi}{2} \). So range of the given function is \( [0, \Pi]-\left\{\frac{\Pi}{2}\right\} \)

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