Evaluate the Expression $\cot \theta$ , Given That $\csc \theta = - \frac { 3 } { 2 }$

question 150

Multiple Choice

Evaluate the expression.
-Find $\cot \theta$ , given that $\csc \theta = - \frac { 3 } { 2 }$ and $\theta$ is in quadrant III.

• A) \(- \frac { \sqrt { 5 } } { 3 }\)
• B) \(\frac { \sqrt { 5 } } { 2 }\)
• C) \(- \frac { 3 \sqrt { 5 } } { 5 }\)
• D) \(- \frac { 2 \sqrt { 5 } } { 5 }\)