Expand and simplify sin(θ + π/3) ?/

sin(θ + π/3) =
sinθ cos π/3 + cosθ + sin π/3 =
sinθ (1/2) + cosθ (√3/2) =
1/2(sinθ + √3cosθ)

sin(θ + π/3)
= sinθcosπ/3 + cosθsinπ/3
= 1/2.sinθ + √3/2.cosθ