QCE Together Year 12 Maths Methods: Sine Rule, Cosine Rule and Area of Triangle Formulas

Maths Methods

Back to other subjects

Sine Rule, Cosine Rule and Area of Triangle Formulas

In this post, we establish and use the sine (ambiguous case is required) and cosine rules and the formula for the area of a triangle. This syllabus dot point is a part of the QCE Maths Methods course under the topic Trigonometric Functions 2 and sub-part Cosine and Sine rules, specifically focusing on the sine rule, cosine rule and area of triangle formulas.

  • Sine: \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}
  • Cosine Rule: c^{2} = a^{2} + b^{2} - 2ab cos(C)
  • Area of triangle: Area = \frac{1}{2}ab sin(C)

Sine Rule, Cosine Rule and Area of Triangle

Sine Rule Part 1: What does it mean?

 

Sine Rule Part 2: Proving and using the formula

 

Cosine Rule Part 1: Proof of the formula

 

Cosine Rule Part 2: Example of finding the sides

 

Cosine Rule Part 3: How to tell which rule to use?

 

Area of a triangle

45,861 students have a head start...

Get exclusive QCE 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