Question

How do you determine if `f(x)= tan x` is an even or odd function?

Answer 1

`tanx` is odd.

Explanation:

If function is even, then `f(-x) = f(x)`

If odd, `f(-x) = -f(x)`.

Recall that `tanx = (sinx)/(cosx)`

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

`tanx` is odd.