Determine the Exact Value Of $\csc \theta$ When $\cos \theta = \frac { 5 } { 13 }$

question 16

Multiple Choice

Determine the exact value of $\csc \theta$ when $\cos \theta = \frac { 5 } { 13 }$ and $\cot \theta < 0$ .

• A)
• \(\csc \theta = - \frac { 1 } { 12 }\)
• B) \(\csc \theta = - \frac { 13 } { 12 }\)
• C) \(\csc \theta = - \frac { 12 } { 13 }\)
• D) \(\csc \theta = - \frac { 13 } { 6 }\)
• E) \(\csc \theta = - \frac { 14 } { 11 }\)

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