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

Maths Methods

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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: [katex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/katex]
  • Cosine Rule: [katex] c^{2} = a^{2} + b^{2} – 2ab cos(C) [/katex]
  • Area of triangle: [katex] Area = \frac{1}{2}ab sin(C) [/katex]

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

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