Sin α - sin β = - (one third) cos α - cos β = one half, find sin (α + β) | Math enthusiast | Mathematical art

Sin α - sin β = - (one third) cos α - cos β = one half, find sin (α + β)

Sin α - sin β = - 1 / 3 (1) cos α - cos β = 1 / 2 (2): sin α cos α - sin α cos β - cos α sin β + sin β cos β = - 1 / 6 1 / 2sin2 α - sin (α + β) + 1 / 2sin2 β = - 1 / 6 sin (α + β) = 1 / 2sin2 α + 1 / 2sin2 β + 1 / 6 = 1

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