Find the Exact Value tan(585 degrees )

$\tan (585 °)$

Step 1

Remove full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\tan (225)$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\tan (45)$

Step 3

The exact value of $\tan (45)$ is $1$ .

$1$