KCET · Maths · Inverse Trigonometric Functions
The range of \( \sec ^{-1} \) is
- A \( \left[\frac{-\pi}{2}, \frac{\pi}{2}\right] \)
- B \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \)
- C \( [0, \pi] \)
- D \( [0, \pi]-\left\{\frac{\pi}{2}\right\} \)
Answer & Solution
Correct Answer
(D) \( [0, \pi]-\left\{\frac{\pi}{2}\right\} \)
Step-by-step Solution
Detailed explanation
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 \( [0, \pi]-\left\{\frac{\pi}{2}\right\} \)
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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