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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
Question
Evaluate the following:
$\text{cosec}^{-1}\Big(\text{cosec}\frac{3\pi}{4}\Big)$
✓

Answer

$\text{cosec}^{-1}\Big(\text{cosec}\frac{3\pi}{4}\Big)=\text{cosec}^{-1}\Big[\text{cosec}\Big(\pi-\frac{\pi}{4}\Big)\Big]$
$=\text{cosec}^{-1}\Big(\text{cosec}\frac{\pi}{4}\Big)$
$=\frac{\pi}{4}$

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