Question

Evaluate the following:

`\text(cosec)^-1(\text{cosec}  pi/4)`

Answer 1

We know that

cosec^-1 (cosec θ) = θ,    [-π/2,0) ∪ (0,π/2]

`\text(cosec)^-1(\text{cosec}pi/4)=pi/4`