Trigonometry Examples

$\csc (- 510)$

Step 1

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

$\csc (210)$

Step 2

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.

$- \csc (30)$

Step 3

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

$- 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

$- 2$