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GUJCET · Maths · Inverse Trigonometric Functions
If \(y=\tan ^{-1} x\), then ____________ .
- A \(0 < y < \pi\)
- B \(0 \leq y \leq \pi\)
- C \(-\frac{\pi}{2} < y < \frac{\pi}{2}\)
- D \(-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}\)
Answer & Solution
Correct Answer
(C) \(-\frac{\pi}{2} < y < \frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(y = \tan^{-1} x\) has range \(-\frac{\pi}{2} < y < \frac{\pi}{2}\).
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