VCE Together Year 12 Specialist Mathematics: Integration Using Double-Angle Formulae

Specialist Mathematics

Back to other subjects

Integration Using Double-Angle Formulae

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) -1 
Tangent
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

 

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

45,861 students have a head start...

Get exclusive VCE content & advice from our team of experts delivered weekly to your inbox!

Here’s how we help...

Holistic K-12 Tutoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

Comprehensive Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

AOS asset - Rocket

Study, Uni, Career Mentoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

Senior School Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!

AOS Website Asset 2

Looking for Academic Support?

Discover how we can help you!

AOS Website Asset 1