Question

Write the expression as the sine, cosine, or tangent of an angle.

(tan24°+tan32°)/(1-tan24°tan32°)

Answer 1

tan56°

Explanation:

The Addition identity for tangent ratio is

tan(x + y) =
`(tanx+tany)/(1-tanxtany)` , thus

`(tan24+tan32)/(1-tan24tan32)` = tan(24 + 32)° = tan56°