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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
MCQ
$\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)=$
  • A
    $\frac{\pi}{2}$
  • B
    $\frac{\pi}{3}$
  • C
    $\frac{\pi}{4}$
  • ✓
    $\frac{\pi}{6}$
✓

Answer

Correct option: D.
$\frac{\pi}{6}$
Let $\cos ^{-1} \frac{\sqrt{3}}{2}=\theta$
$\Rightarrow \cos \theta=\frac{\sqrt{3}}{2}=\cos \frac{\pi}{6}$
$\Rightarrow \theta=\frac{\pi}{6} \in[0, \pi]$
$\therefore \cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)=\frac{\pi}{6}$

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