What is compound angle?

The algebraic sum (+) or difference (-) of two or more angles is called a compound Angle.

**For example,** if α, β, γ are three given angles then each of the angles (α + β), (α - β), (β + γ), (β - γ), (α - β + γ), (β - γ - α) is called a compound angle.

Under compound angle we will deal with the trigonometrical ratios of compound angles and develop the formulae for these kinds of angles, and also study their application.

**Proof of Compound Angle Formula sin (α + β)****Proof of Compound Angle Formula sin (α - β)****Proof of Compound Angle Formula cos (α + β)****Proof of Compound Angle Formula cos (α - β)****Proof of Compound Angle Formula sin 22 α - sin 22 β****Proof of Compound Angle Formula cos 22 α - sin 22 β****Proof of Tangent Formula tan (α + β)****Proof of Tangent Formula tan (α - β)****Proof of Cotangent Formula cot (α + β)****Proof of Cotangent Formula cot (α - β)****Expansion of sin (A + B + C)****Expansion of sin (A - B + C)****Expansion of cos (A + B + C)****Expansion of tan (A + B + C)****Compound Angle Formulae****Problems using Compound Angle Formulae****Problems on Compound Angles**

**11 and 12 Grade Math**

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