Summation difference product formula and summation difference formula

Summation difference product formula and summation difference formula

The integral sum difference formula: sin α sin β = - [cos (α + β) - cos (α - β)] / 2cos α cos β = [cos (α + β) + cos (α - β)] / 2Sin α cos β = [sin (α + β) + sin (α - β)] / 2cos α sin β = [sin (α + β) - sin (α - β)] / 2 and the differential product formula: sin θ + sin φ = 2Sin [(θ + φ) / 2]