Evaluate the following:cosec-1(cosec \(\frac{\pi}4\)) – InterviewSolution

1.

Evaluate the following:cosec-1(cosec \(\frac{\pi}4\))

Answer»

cosec^–1(cosec x) = x

Provided x ∈ \([\frac{-\pi}2,\frac{\pi}2]\) - {0}

∴ we can write cosec^–1cosec\((\frac{\pi}4)\) = \(\frac{\pi}4.\)

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