2.cosα=-√(1-4/9)=-√(5/9)=-(√5)/3; sinβ=-√(1-9/25)=-√(16/25)=-4/5.
∴sin(α+β)=sinαcosβ+cosαsinβ=(2/3)(-3/5)+[-(√5)/3](-4/5)=-2/5+(4√5)/15
=(-6+4√5)/15;
4.sinθ=√(1-16/25)=√(9/25)=3/5;
∴sin(θ+π/3)=sinθcos(π/3)+cosθsin(π/3)=(3/5)(1/2)+(-4/5)(√3/2)
=(3/10)-4√3/10=(3-4√3)/10.