Determine the Exact Value Of $\csc \theta$ When $\cot \theta = \frac { 20 } { 21 }$

question 217

Multiple Choice

Determine the exact value of $\csc \theta$ when $\cot \theta = \frac { 20 } { 21 }$ and $\csc \theta$ < 0.

• A) \(\csc \theta = - \frac { 11 } { 14 }\)
• B) \(\csc \theta = - \frac { 3 } { 2 }\)
• C) \(\csc \theta = - \frac { 58 } { 21 }\)
• D) \(\csc \theta = - \frac { 8 } { 21 }\)
• E) \(\csc \theta = - \frac { 29 } { 21 }\)