Additional Formulaesin (A±B) = sinA cosB ± cosA sinB
cos (A±B) = cosA cosB -/+ sinA sinB
tan (A±B) = [tanA ± tanB ] / [1 -/+ tanA tanB]
R-formulaea sinΦ ± b cosΦ = R sin(Φ±α)
a cosΦ ± b sinΦ = R cos(Φ -/+ α)
where R = √(a² + b²)
tan α = b/a
Double Angle Formulaesin2A = 2 sinA cosA
Cos2A = [cos²A - sin²A] = [2 cos²A - 1] = [1 - 2sin²A]
tan2A = [2 tanA] / [1 - tan²A]
Factor FormulaesinP + sinQ = 2.sin½(P+Q).cos½(P-Q)
sinP - sinQ = 2.cos½(P+Q).sin½(P-Q)
cosP + cosQ = 2.cos½(P+Q).sin½(P-Q)
cosP - cosQ = -2.sin½(P+Q).sin½(P-Q)