Find the exact value. $\frac { \tan 35 ^ { \circ } + \tan 10 ^ { \circ } } { 1 - \tan 35 ^ { \circ } \tan 10 ^ { \circ } }$
A) $- 1$
B) $\frac { \sqrt { 2 } } { 2 }$
C) $1$
D) $\frac { \pi } { 4 }$
E) none

Question

Quizplus · Accepted Answer

The expression is the tangent addition formula: $\tan(35^\circ + 10^\circ) = \frac{\tan 35^\circ + \tan 10^\circ}{1 - \tan 35^\circ \tan 10^\circ}$. Therefore, it simplifies to $\tan 45^\circ$, which is 1.

Find the Exact Value tan⁡35∘+tan⁡10∘1−tan⁡35∘tan⁡10∘\frac { \tan 35 ^ { \circ } + \tan 10 ^ { \circ } } { 1 - \tan 35 ^ { \circ } \tan 10 ^ { \circ } }1−tan35∘tan10∘tan35∘+tan10∘​

Find the Exact Value $\frac { \tan 35 ^ { \circ } + \tan 10 ^ { \circ } } { 1 - \tan 35 ^ { \circ } \tan 10 ^ { \circ } }$