Given sin θ - cos θ = 1 / 2, then Sin & # 178; θ - cos & # 178; θ = ()

Given sin θ - cos θ = 1 / 2, then Sin & # 178; θ - cos & # 178; θ = ()

sina-cosa=1/2
(sina-cosa)²=1/4
1-2sinacosa=1/4
sin2a=3/4
Cos2a = ± 7 / 4 under root sign
Sin & # 178; a-cos & # 178; a = - cos2a = ± 7 / 4 under root sign