Question

How do you determine if `xcscx` is an even or odd function?

Answer 1

even

Explanation:

even function: `f(-x) = f(x)`
odd function: `f(-x) = -f(x)`

`f(x) = x * csc(x) = x/sin x`

`f(-x) = (-x)/sin(- x) = (-x)/(-sin x) = x/sin x`

that's even!