Integration Using Double-Angle Formulae is a part of the VCE Specialist Maths topic Calculus and subtopic Anti-Differentiation.
Here are the formulae:
Sine
sin(2x) = 2 sin(x) cos(x)Cosine
cos(2x) = cos^2(x) -sin^2(x) cos(2x) = 1 -2sin^2(x) cos(2x) = 2cos^2(x) -1Tangent
tan(2x) = \frac{2tan(x)}{1-tan^2(x)}
Let’s Learn Double Angle Identities
This video will introduce you to double angle identities to help you learn to anti-differentiate them.
Integrating Using Double-Angle Formulae
These next two videos will help you to understand how to use the above two videos to integrate!
Part 1
Part 2
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