Find the Exact Value cot(540 degrees )

$\cot (540 °)$

Step 1

Rewrite $\cot (540 °)$ in terms of sines and cosines.

$\frac{\cos (540 °)}{\sin (540 °)}$

Step 2

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

$\frac{\cos (540 °)}{\sin (180)}$

Step 3

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

$\frac{\cos (540 °)}{\sin (0)}$

Step 4

The exact value of $\sin (0)$ is $0$ .

$\frac{\cos (540 °)}{0}$

Step 5

The expression contains a division by $0$ . The expression is undefined.

Undefined