Given sin α + sin β = sin θ cos α + cos β = sin θ, prove cos (α - θ) = half This question is invalid

Given sin α + sin β = sin θ cos α + cos β = sin θ, prove cos (α - θ) = half This question is invalid

Two sides square sin α + 2Sin α sin β + Sin & # 178; β = Sin & # 178; θ cos & # 178; α + 2cos α cos β + cos & # 178; β = cos & # 178; θ sum Sin & # 178; + cos & # 178; = 1, SO 2 + 2 (COS α cos β sin α sin β) = 12 + 2cos (α - β) = 1cos (α - β) = - 1 / 2