Solve the problem.
-$\tan 15 ^ { \circ } - \frac { \cos 75 ^ { \circ } } { \cos 15 ^ { \circ } }$
A) 1
B) 0
C) -1
D) 2

Question

Quizplus · Accepted Answer

Using trigonometric identities, $\tan 15^\circ = 2 - \sqrt{3}$ and $\cos 75^\circ = \sin 15^\circ = \frac{\sqrt{6} - \sqrt{2}}{4}$, $\cos 15^\circ = \frac{\sqrt{6} + \sqrt{2}}{4}$. Simplifying $\frac{\cos 75^\circ}{\cos 15^\circ}$ gives $\tan 15^\circ$, so $\tan 15^\circ - \frac{\cos 75^\circ}{\cos 15^\circ} = 0$.

Solve the Problem tan⁡15∘−cos⁡75∘cos⁡15∘\tan 15 ^ { \circ } - \frac { \cos 75 ^ { \circ } } { \cos 15 ^ { \circ } }tan15∘−cos15∘cos75∘​

Solve the Problem $\tan 15 ^ { \circ } - \frac { \cos 75 ^ { \circ } } { \cos 15 ^ { \circ } }$