Use Identities to find the exact value.
-$$\frac { \tan 25 ^ { \circ } + \tan 5 ^ { \circ } } { 1 - \tan 25 ^ { \circ } \tan 5 ^ { \circ } }$$
A) $\frac { \sqrt { 3 } } { 3 }$
B) $\sqrt { 3 }$
C) 2
D) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

This expression is an application of the tangent addition formula, $\tan(a + b) = \frac{\tan a + \tan b}{1 - \tan a \tan b}$. Substituting $a = 25^\circ$ and $b = 5^\circ$, we get $\tan(25^\circ + 5^\circ) = \tan 30^\circ$, which equals $\frac{\sqrt{3}}{3}$.

Use Identities to Find the Exact Value tan⁡25∘+tan⁡5∘1−tan⁡25∘tan⁡5∘\frac { \tan 25 ^ { \circ } + \tan 5 ^ { \circ } } { 1 - \tan 25 ^ { \circ } \tan 5 ^ { \circ } }1−tan25∘tan5∘tan25∘+tan5∘​

Use Identities to Find the Exact Value $\frac { \tan 25 ^ { \circ } + \tan 5 ^ { \circ } } { 1 - \tan 25 ^ { \circ } \tan 5 ^ { \circ } }$