Find the exact value of the expression using the provided information.
-$\frac { 2 \tan 30 ^ { \circ } } { 1 - \tan ^ { 2 } 30 ^ { \circ } }$
A) $\frac { \sqrt { 2 } } { 4 }$
B) $\sqrt { 3 }$
C) $\frac { \sqrt { 3 } } { 3 }$
D) $\frac { \sqrt { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

The expression is a trigonometric identity for $\tan(2\theta)$ where $\theta = 30^\circ$. Therefore, $\tan(60^\circ) = \sqrt{3}$.

Find the Exact Value of the Expression Using the Provided 2tan⁡30∘1−tan⁡230∘\frac { 2 \tan 30 ^ { \circ } } { 1 - \tan ^ { 2 } 30 ^ { \circ } }1−tan230∘2tan30∘​

Find the Exact Value of the Expression Using the Provided $\frac { 2 \tan 30 ^ { \circ } } { 1 - \tan ^ { 2 } 30 ^ { \circ } }$