Write the expression as the sine, cosine, or tangent of an angle.
-$$\frac { \tan 46 ^ { \circ } - \tan 27 ^ { \circ } } { 1 + \tan 46 ^ { \circ } \tan 27 ^ { \circ } }$$
A) $\tan 19 ^ { \circ }$
B) $\tan 73 ^ { \circ }$
C) $\tan 72$
D) $\tan 36.5 ^ { \circ }$

Question

Quizplus · Accepted Answer

This expression can be simplified using the tangent subtraction formula: $\tan(\alpha - \beta) = \frac{\tan \alpha - \tan \beta}{1 + \tan \alpha \tan \beta}$. Applying this to the given expression with $\alpha = 46^\circ$ and $\beta = 27^\circ$, we get $\tan(46^\circ - 27^\circ) = \tan 19^\circ$.

Write the Expression as the Sine, Cosine, or Tangent of an Angle