Use the appropriate reciprocal identity to find the function value. Rationalize the denominator if necessary.
-$\tan \theta$, if $\cot \theta = - \frac { 4 } { 5 }$
A) $- \frac { 4 } { 5 }$
B) $- \frac { 5 } { 4 }$
C) $\frac { 9 } { 5 }$
D) $\frac { 5 } { 4 }$

Question

Quizplus · Accepted Answer

The reciprocal identity of $\cot \theta$ is $\tan \theta = \frac{1}{\cot \theta}$. Given $\cot \theta = - \frac { 4 } { 5 }$, then $\tan \theta = - \frac { 5 } { 4 }$.

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

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