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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
Question
Evaluate the following:
$\text{cosec}^{-1}\Big(\text{cosec}\frac{6\pi}{5}\Big)$
✓

Answer

$\text{cosec}^{-1}\Big(\text{cosec}\frac{6\pi}{5}\Big)=\text{cosec}^{-1}\Big[\text{cosec}\Big(\pi+\frac{\pi}{5}\Big)\Big]$
$=\text{cosec}^{-1}\Big(\text{cosec}-\frac{\pi}{5}\Big)$
$=-\frac{\pi}{5}$

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