Find the Exact Value cot(510 degrees )

Remove full rotations of ${\displaystyle 360}$° until the angle is between ${\displaystyle 0}$° and ${\displaystyle 360}$°.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the second quadrant.

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