Find the Exact Value tan(570 degrees )

$\tan (570 °)$

Step 1

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

$\tan (210)$

Step 2

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

$\tan (30)$

Step 3

The exact value of $\tan (30)$ is $\frac{\sqrt{3}}{3}$ .

$\frac{\sqrt{3}}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{3}$

Decimal Form:

$0.57735026 \dots$