Find the Exact Value csc(495 degrees )

$\csc (495 °)$

Step 1

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

$\csc (135)$

Step 2

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

$\csc (45)$

Step 3

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

$\sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$