Evaluate the following: cosec^ -1 (cosec 4 ) - Vidyadip

Question

Evaluate the following:
$\text{cosec}^{-1}\Big(\text{cosec}\frac{\pi}{4}\Big)$

✓

Answer

$\text{cosec}^{-1}\Big(\text{cosec}\frac{\pi}{4}\Big)$
$=\text{cosec}^{-1}\big(\sqrt2\big)$
$=\frac{\pi}{4}$

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