Find the Exact Value cot(-870 degrees )

$\cot (- 870 °)$

Step 1

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

$\cot (210)$

Step 2

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

$\cot (30)$

Step 3

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

$\sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$