Question

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

Answer 1

From the graph of `tanx` it can be seen that it is symmetric with respect to the origin. This tells us that it is an odd function . We can also check algebraically ...

Explanation:

Algebraically , if a function is:

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

For this problem `tan(-x)=-tan(x)`

For example ...
`tan(-45) = -1`
`tan(45)=1`

hope that helped