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Inverse Trigonometric Functions — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSInverse Trigonometric Functions2 Marks
Question
Find the value of $2\sec^{-1}2+\sin^{-1}\Big(\frac{1}{2}\Big)$
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Answer

$2\sec^{-1}2+\sin^{-1}\Big(\frac{1}{2}\Big)$
$=2\sec^{-1}\Big(\sec\frac{\pi}{3}\Big)+\sin^{-1}\Big(\sin\frac{\pi}{6}\Big)$
$=2\times\frac{\pi}{3}+\frac{\pi}{6}$
$=\frac{5\pi}{6}$

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