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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Inverse Trigonometric Functions

NDA 2017 · Mathematics · Inverse Trigonometric Functions

The principal value of ^ -1 x lies in the interval

The principal value of sin⁡−1x\sin ^{-1} x lies in the interval

Options

  1. A(−π2,π2)\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)
  2. B[−π2,π2]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]
  3. C[0,π2]\left[0, \frac{\pi}{2}\right]
  4. D[0,π][0, \pi]

Correct answer

B. [−π2,π2]\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]

Step-by-step solution

The principal value of sin⁡−1x\sin ^{-1} x lies in it's range. The range of sin⁡−1x\sin ^{-1} \mathrm{x} is \left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$.
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