Question

!!! PLEASE HELP ASAP !!!! just fill in the few boxes (serious answers only or i’ll report)

Answer 1

Answer:

See explanation

Step-by-step explanation:

sin(α + β) = sin α cos β + sin β cos α

sin(α - β) = sin α cos β - sin β cos α

$\frac{1}{2}$[ sin(α + β) + sin(α - β)] = $\frac{1}{2}$[sin α cos β + sin β cos α + sin α cos β - sin β cos α]

                               = $\frac{1}{2}$[2 sinα cos β]

                               = sin α cos β = $\frac{1}{2}$[ sin(α + β) + sin(α - β)]