Find the exact value of the expression.
-$\tan 300 ^ { \circ }$
A) $- \sqrt { 3 }$
B) $\frac { \sqrt { 3 } } { 3 }$
C) $\sqrt { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

$\tan 300^\circ$ is equivalent to $\tan (360^\circ - 60^\circ)$, which is the same as $\tan (-60^\circ)$. Since $\tan$ is an odd function, $\tan (-60^\circ) = -\tan 60^\circ$, and $\tan 60^\circ = \sqrt{3}$, thus $\tan 300^\circ = -\sqrt{3}$.

Find the Exact Value of the Expression tan⁡300∘\tan 300 ^ { \circ }tan300∘

Find the Exact Value of the Expression $\tan 300 ^ { \circ }$