trigonometric and inverse trigonometric identities for class XI and XII
21 Apr 2017
trigonometric and inverse trigonometric identities for class XI and XII
addition forms
Sin(A+B) = SinACosB + CosASinB
Sin(A-B) = SinACosb - CosASinB
Cos(A+B) = CosACosB - SinASinB
Cos(A-B) = CosACosB + SinASinB
Tan(A+B) = (TanA+TanB)/(1-TanATanB)
Tan(A-B) = (TanA - TanB)/(1+TanATanB)
Cot (A+B) = (CotACotB-1)/(CotA + CotB)
Cot(A-B) = (CotACotB+1)/(CotB-CotA)
Formulae which express products as sums or difference of Sines and Cosines
Trignometric ratios of 3θ
Trignometric ratios of sub-multiple angles
Cosine Formula (or Law of Cosines)
In any ΔABC,
These formulas are also written as
Projection formulas
In any ΔABC,
Half-Angles and Sides
In any ΔABC,
Area of a Triangle
Hero's fromula
Sin(A+B) = SinACosB + CosASinB
Sin(A-B) = SinACosb - CosASinB
Cos(A+B) = CosACosB - SinASinB
Cos(A-B) = CosACosB + SinASinB
Tan(A+B) = (TanA+TanB)/(1-TanATanB)
Tan(A-B) = (TanA - TanB)/(1+TanATanB)
Cot (A+B) = (CotACotB-1)/(CotA + CotB)
Cot(A-B) = (CotACotB+1)/(CotB-CotA)
Formulas which express the sum or difference in product
Formulae which express products as sums or difference of Sines and Cosines
Trignometric ratios of Multiple Angles
Trignometric ratios of 3θ
Trignometric ratios of sub-multiple angles
Properties of Inverse Trignometric Functions
Sine Formula (or Law of Sines)
In any ΔABC,
In any ΔABC,
Cosine Formula (or Law of Cosines)
In any ΔABC,
These formulas are also written as
Projection formulas
In any ΔABC,
Half-Angles and Sides
In any ΔABC,
Area of a Triangle
Hero's fromula