Trigonometry Examples

$\csc (- \frac{π}{6})$

Step 1

Add full rotations of

$2 π$ until the angle is greater than or equal to

$0$ and less than

$2 π$ .

$\csc (\frac{11 π}{6})$

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 fourth quadrant.

$- \csc (\frac{π}{6})$

Step 3

The exact value of

$\csc (\frac{π}{6})$ is

$2$ .

$- 1 \cdot 2$

Step 4

Multiply

$- 1$ by

$2$ .

$- 2$