Choose the one alternative that best completes the statement or answers the question.
Find the exact value of the expression. Do not use a calculator.
-$$\tan 15 ^ { \circ } - \frac { \cos 75 ^ { \circ } } { \cos 15 ^ { \circ } }$$
A) 1
B) 0
C) $- 1$
D) 2

Question

Quizplus · Accepted Answer

Using the identity $\tan(15^\circ) = \frac{\sin(15^\circ)}{\cos(15^\circ)}$ and $\cos(75^\circ) = \sin(15^\circ)$, the expression simplifies to $\frac{\sin(15^\circ)}{\cos(15^\circ)} - \frac{\sin(15^\circ)}{\cos(15^\circ)} = 0$.

Choose the One Alternative That Best Completes the Statement or Answers