HSC Together Year 12 Maths Extension 1: Further Trignometry: Auxiliary Angle

Further Trignometry: Auxiliary Angle

This topic is part of the HSC Mathematics Extension 1 syllabus under the topic Trigonometric Functions.

In this post, we will explore further trigonometric techniques on how to solve trigonometric equations requiring factorising and/or the application of the auxiliary angle formulae.

Auxilary angles take the following forms

R sin( \theta \pm \phi) = R (sin(\theta)cos(\phi) \pm sin(\phi)cos(\theta))

Now we can explore what the auxiliary angle is.

 

What is the Auxilary Angle

 

How the auxiliary angle is connected to trigonometric expressions

 

How to find the amplitude (R)

 

How to find the phase phi

 

 

 

45,861 students have a head start...

Get exclusive HSC 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