Use the Appropriate Identity to Find the Indicated Function Value $\tan \theta$

Multiple Choice

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given
value is a decimal, round your answer to three decimal places.
- $\tan \theta$ , given that $\cot \theta = - \frac { 10 } { 11 }$

A) $\frac { 21 } { 11 }$
B) $\frac { 11 } { 10 }$
C) $- \frac { 10 } { 11 }$
D) $- \frac { 11 } { 10 }$