Find the Reference Angle csc(-pi/6)

$\csc (- \frac{π}{6})$

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\csc (\frac{11 π}{6})$

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.

$- \csc (\frac{π}{6})$

The exact value of $\csc (\frac{π}{6})$ is $2$ .

$- 1 \cdot 2$

Multiply $- 1$ by $2$ .

$- 2$

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