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

#### Maths Methods

• The Logarithmic Function 2
• Further Differentiation and Applications 2
• Integrals
• Further Differentiation and Applications 3
• Trigonometric Functions 2
• Discrete Random Variables 2
• Continuous Random Variables and the Normal Distribution
• Interval Estimates for Proportions
• Back to other subjects
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)

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