easy tangent realted problem

[lunarskull]

is tan x even, odd, or neither and explain why (a graph is not enough- your solution must be a general solution)

im studying to be a calc teacher, yet i've forgotten basic calculus.

 

[tkhunny]

That happens...

Definitions:

Even: f(x) = f(-x) -- Example: f(x) = cos(x)
Odd: f(x) = -f(-x) -- Example: f(x) = sin(x)

What can we concluded about f(x) = tan(x), given those examples?