Use an identity to write the expression as a single trigonometric function or as a single number.
-$$\frac { \sin 80 ^ { \circ } } { 1 + \cos 80 ^ { \circ } }$$
A) $\cos 40 ^ { \circ }$
B) $\tan 40 ^ { \circ }$
C) $\cot 40 ^ { \circ }$
D) $\sin 40 ^ { \circ }$

Question

Quizplus · Accepted Answer

The given expression can be simplified using the half-angle identity for tangent, which is $\tan \frac{\theta}{2} = \frac{\sin \theta}{1 + \cos \theta}$. Applying this identity with $\theta = 80^\circ$, the expression simplifies to $\tan 40^\circ$.

Use an Identity to Write the Expression as a Single sin⁡80∘1+cos⁡80∘\frac { \sin 80 ^ { \circ } } { 1 + \cos 80 ^ { \circ } }1+cos80∘sin80∘​

Use an Identity to Write the Expression as a Single $\frac { \sin 80 ^ { \circ } } { 1 + \cos 80 ^ { \circ } }$