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INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS2 Marks
Question
Find the principal values:
$\cos^{-1}\bigg(\frac{1}{2}\bigg)+2\sin^{-1}\bigg(\frac{1}{2}\bigg)$
✓

Answer

$\cos^{-1}\bigg(\frac{1}{2}\bigg)+2\sin^{-1}\bigg(\frac{1}{2}\bigg)$ $=\cos^{-1}\cos\frac{\pi}{3}+2\sin^{-1}\sin\frac{\pi}{6}$
$=\frac{\pi}{3}+2\bigg(\frac{\pi}{6}\bigg)=\frac{\pi}{3}+\frac{\pi}{3}=\frac{2\pi}{3}$

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