VCE Together Year 12 Specialist Mathematics: Compound Angle Identity

#### Specialist Mathematics

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# Compound Angle Identity

The Compound Angle Identity is a part of the VCE Specialist Maths topic Functions and Graphs, and subtopic Compound Angle Formula.

Some relevant equations for this section are:

• sin(a+b) = sin(a) cos(b) + cos(a) sin(b)
• sin(a-b) = sin(a) cos(b) - cos(a) sin(b)
• cos(a+b) = cos(a) cos(b) - sin(a) sin(b)
• cos(a-b) = cos(a) cos(b) + sin(a) sin(b)
• tan(a+b) = \frac{tan(a) + tan(b)}{1-tan(a)tan(b)}
• tan(a-b) = \frac{tan(a) - tan(b)}{1+tan(a)tan(b)}

### Sum and Difference Identities

This video explains the sum and difference identities and formulas.

Watch this video to understand the proof behind the angle addition formula for sine.

This next video looks at angle sum identities for sine and cosine.

Want to learn more? Check out more of our VCE Mathematics resources here!

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