this is what it looks like tan^2 x=1 where 0 ≤ x ≤ π

Hi Brittany,

The only numbers that square to one are 1 and -1.

1 = 1 x 1

1 = (-1) x (-1)

So since (tan x) squares to one, (tan x) must be 1 or -1. There are two values of x in the interval [0, pi] that make it happen.

tan (pi/4) = 1

tan (3*pi/4) = -1

## Comments

thanks