Question

What does tan 2pi equal?

Answer 1

`tan 2pi=0`

Explanation:

You can use the period of the trigonometric function to reduce `2pi` to `0`, so you have

`tan 2pi=tan 0`

To calculate `tan 0` you can use the formula `tan alpha= sin alpha/cos alpha`. From this formula you get:

`tan 0=sin 0/cos 0=0/1=0`

Answer 2

`tan(2pi) =0`

Explanation:

In terms trigonometric functions, `2pi` is equivalent to `0`.

Based on the unit circle an angle of `0` has its terminal point on the positive X-axis ; the side opposite the angle has a length of `0` (and the adjacent side has a length of `1`)

`tan = ("opposite")/("adjacent")`

`tan(2p) = tan(0) = 0/1 = 0`