Question

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

also if you zoom in on the picture, it’ll become clear

Answer 1

See explanation

Explanation:

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

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

`(1)/(2)`[ sin(α + β) + sin(α - β)] =
`(1)/(2)`[sin α cos β + sin β cos α + sin α cos β - sin β cos α]

=
`(1)/(2)`[2 sinα cos β]

= sin α cos β =
`(1)/(2)`[ sin(α + β) + sin(α - β)]