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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
Find the value of $ {\sin ^{ - 1}}\left( 1 \right):$
  • A
    $ \dfrac{\pi}{7}$
  • B
    $ \dfrac{\pi}{6}$
  • C
    $ \dfrac{\pi}{4}$
  • ✓
    $ \dfrac{\pi}{2}$
✓

Answer

Correct option: D.
$ \dfrac{\pi}{2}$
Value of $\sin^{-1}(1)\sin\text{x}$ is in vertible form $\Big[\frac{-\pi}{2},\frac{\pi}{2}\Big]$ in this range only $\sin\frac{\pi}{2}=1\sin^{-1}(1)\frac{\pi}{2}.$

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