Question

Complete the identity. Sin(α+β )/cos α cosβ = ?
A. cot α + cot β
B. tan α + tan β
C. tan β + tan α
D. -tan α + cot β

Answer 1

write down the formula for
\[\sin(\alpha+\beta)\] then divide

Answer 2

@studystagram

Answer 3

@satellite73 can you help me work out the problem all together show me how to do it

Answer 4

B is the ans

Answer 5

Thank you

Answer 6

sin(A+B)/cosAcosB =(SinACosB + CosASinB) / CosACosB
= SinACosB/CosACosB + CosASinB/ CosACosB
= SinA/CosA + SinB/CosB
sin(A+B)/cosAcosB = TanA + TanB

Answer 7

Thank you so much!