Find the exact value of the expression. Do not use a calculator.
-$$\cos \frac { \pi } { 3 } + \tan \frac { 5 \pi } { 3 }$$
A) $\frac { 1 - 2 \sqrt { 3 } } { 2 }$
B) $\frac { \sqrt { 3 } + 1 } { 2 }$
C) $\frac { \sqrt { 3 } + 3 } { 3 }$
D) $\frac { 2 \sqrt { 3 } + 3 } { 6 }$

Question

Quizplus · Accepted Answer

$\cos \frac{\pi}{3} = \frac{1}{2}$ and $\tan \frac{5\pi}{3} = \tan (-\frac{\pi}{3}) = -\sqrt{3}$. Adding these gives $\frac{1}{2} - \sqrt{3} = \frac{1 - 2\sqrt{3}}{2}$.

Find the Exact Value of the Expression cos⁡π3+tan⁡5π3\cos \frac { \pi } { 3 } + \tan \frac { 5 \pi } { 3 }cos3π​+tan35π​

Find the Exact Value of the Expression $\cos \frac { \pi } { 3 } + \tan \frac { 5 \pi } { 3 }$