Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.
-$$\tan \left( \theta + 22 ^ { \circ } \right)$$
A) $\cot \left( 68 ^ { \circ } - \theta \right)$
B) $\cot \left( 112 ^ { \circ } - \theta \right)$
C) $\cot \left( 158 ^ { \circ } - \theta \right)$
D) $\tan \left( 68 ^ { \circ } - \theta \right)$

Question

Quizplus · Accepted Answer

The cofunction identity for tangent and cotangent is $\tan(\theta) = \cot(90^\circ - \theta)$. Applying this to the given function, we get $\tan(\theta + 22^\circ) = \cot(90^\circ - (\theta + 22^\circ)) = \cot(68^\circ - \theta)$.

Write the Function in Terms of Its Cofunction tan⁡(θ+22∘)\tan \left( \theta + 22 ^ { \circ } \right)tan(θ+22∘)

Write the Function in Terms of Its Cofunction $\tan \left( \theta + 22 ^ { \circ } \right)$