Evaluate the following: cosec^-1(cosec π/4 )

Question

Evaluate the following:

cosec^-1(cosec \(\frac{\pi}4\))

Answer 1

cosec^–1(cosec x) = x

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

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