Use the cofunction identities to find an angle θ that makes the statement true.
-$\sin \theta = \cos \left( 4 \theta + 60 ^ { \circ } \right)$
A) $\theta = 6 ^ { \circ }$
B) $\theta = 75 ^ { \circ }$
C) $\theta = 10 ^ { \circ }$
D) $\theta = 16 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the cofunction identity $\sin \theta = \cos (90^\circ - \theta)$, we set $\theta = 90^\circ - (4\theta + 60^\circ)$. Solving for $\theta$, we get $\theta = 6^\circ$.

Use the Cofunction Identities to Find an Angle θ That sin⁡θ=cos⁡(4θ+60∘)\sin \theta = \cos \left( 4 \theta + 60 ^ { \circ } \right)sinθ=cos(4θ+60∘)

Use the Cofunction Identities to Find an Angle θ That $\sin \theta = \cos \left( 4 \theta + 60 ^ { \circ } \right)$