Question

Find the value of cosec⁻¹(-1) + sec⁻¹(\sqrt{2})

Answer 1

$\underline{\underline{ \bf{Answer \: }}} : \\ \boxed{\implies \: - \frac{ \pi}{2} } \\ \\ \underline{\underline{\bf{ Explanation}}} : \\ \: \\ \implies \: \pink{ { \csc }^{ - 1} ( - 1) }+ { \sec }^{ - 1} ( \sqrt{2} ) \\ \\ \implies \: \red{- { \csc }^{ - 1} \big( \csc( \frac{ \pi}{2} ) \big) }+ \green{{ \sec}^{ - 1} \big( \sec( \frac{ \pi}{4} ) \big) }\\ \\ \implies \: - \frac{ \pi}{2} + \frac{ \pi}{4} \\ \\ \implies \: - \frac{ \pi}{2}$