Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)= Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)=

Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)= Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)=

sinα+cosβ=1/5,(sinα+cosβ)^2=1/25,(sinα)^2+(cosβ)^2+2sinαcosβ=1/25,∵(sinα)^2+(cosβ)^2=1∴ 2sinαcosβ=-24/25,sinαcosβ=-12/25cosα+sinβ=1/3,2cosαsinβ=-8/9,cosαsinβ=-4/9sin(α+β)=sinα...