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Trigonometry

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Moderate

Trigonometric Functions: Exact Value of Cosecant Function

TRIG-VET6RX

James Gunnin Created for Albert.io. Copyright 2016. All rights reserved

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

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