Question

Complete the identity.
sin(α + β)/cosαcosβ = ?

A. cot α + cot β
B. tan β + tan α
C. tan α + tan β
D. -tan α + cot β

Answer 1

Well \[\sin(\alpha + \beta)=\sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)\]
Dividing that gives:
\[\tan(\alpha)+\tan(\beta)\]

Answer 2

so it would be c?

Answer 3

Yup.

Answer 4

thank you