Use the cofunction identities to find an angle $$\theta$$ that makes the statement true.
-$\tan \theta = \cot \left( 30 ^ { \circ } + 5 \theta \right)$
A) $\theta = 6 ^ { \circ }$
B) $\theta = 16 ^ { \circ }$
C) $\theta = 10 ^ { \circ }$
D) $\theta = 75 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the cofunction identity $\tan \theta = \cot (90^\circ - \theta)$, we can set $\theta = 90^\circ - (30^\circ + 5\theta)$. Solving for $\theta$ gives $\theta = 10^\circ$.

Use the Cofunction Identities to Find an Angle θ\thetaθ That Makes the Statement True

Use the Cofunction Identities to Find an Angle $\theta$ That Makes the Statement True