Find the Exact Value csc(510 degrees )

$\csc (510 °)$

Step 1

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

$\csc (150)$

Step 2

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

$\csc (30)$

Step 3

The exact value of $\csc (30)$ is $2$ .

$2$