Find the Exact Value csc(-495 degrees )

Add 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 cosecant is negative in the third quadrant.

The exact value of ${\displaystyle \csc \left(45\right)}$ is ${\displaystyle \sqrt{2}}$.