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) $- \frac { 11 } { 10 }$

Question

Quizplus · Accepted Answer

The tangent function is the reciprocal of the cotangent function, so $\tan \theta = \frac{1}{\cot \theta} = \frac{1}{- \frac{10}{11}} = - \frac{11}{10}$.

Use the Appropriate Identity to Find the Indicated Function Value tan⁡θ\tan \thetatanθ

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