Perform the transformation.
-$$\frac { \tan 170 ^ { \circ } - \tan 50 ^ { \circ } } { 1 + \tan 170 ^ { \circ } \tan 50 ^ { \circ } }$$
A) $- 2$
B) $- \frac { \sqrt { 3 } } { 3 }$
C) $- \sqrt { 3 }$
D) $- \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The expression is a tangent subtraction identity: $\tan(170^\circ - 50^\circ) = \tan(120^\circ) = -\sqrt{3}$.

Perform the Transformation tan⁡170∘−tan⁡50∘1+tan⁡170∘tan⁡50∘\frac { \tan 170 ^ { \circ } - \tan 50 ^ { \circ } } { 1 + \tan 170 ^ { \circ } \tan 50 ^ { \circ } }1+tan170∘tan50∘tan170∘−tan50∘​

Perform the Transformation $\frac { \tan 170 ^ { \circ } - \tan 50 ^ { \circ } } { 1 + \tan 170 ^ { \circ } \tan 50 ^ { \circ } }$