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If , then is:

Mathematics20222 marksMCQ
If $\alpha \le 2\sin^{-1} x + \cos^{-1} x \le \beta$, then $(\alpha, \beta)$ is:
  • (a)$(0, \pi)$
  • (b)$(-\frac{\pi}{2}, \frac{\pi}{2})$
  • (c)$(-\frac{3\pi}{2}, \frac{\pi}{2})$
  • (d)None of the above.

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Inverse Trigonometric Functions

From ISC 2022 Specimen Mathematics Paper 1, question 4.