Compound Angle

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.

● Compound Angle

• 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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