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# Trigonometric Functions: Exact Value of Cosecant Function

TRIG-VET6RX

We are given $\angle ABC$ (above), which we will call $\theta$, whose terminal side passes through the point $(-6,6)$.
What is the exact value of $\csc { \theta }$.

A

$\csc { \theta } =\sqrt { 2 }$

B

$\csc { \theta } =-\cfrac { \sqrt { 2 } }{ 2 }$

C

$\csc { \theta } =\cfrac { \sqrt { 2 } }{ 2 }$

D

$\csc { \theta } =-\sqrt { 2 }$