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INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS1 Mark
Question
Evaluate the following:
$\sin\Big(\cos^{-1}\frac{5}{13}\Big)$
✓

Answer

$\sin\Big(\cos^{-1}\frac{5}{13}\Big)$
$=\sin\Big(\sin^{-1}\frac{12}{13}\Big)$ $\Big[{\therefore\ \cos^{-1}}\text{x}=\sin^{-1}\sqrt{1-\text{x}^2}\Big]$
$ =\frac{12}{13}$

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