AQA GCSE Mathematics · 8300
Specification G22 · Paper 1, Paper 2, Paper 3
Revise: Sine and Cosine RulesThe cosine rule is useful when two sides and their included angle are known but there is no complete opposite pair for the sine rule.
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GCSE Mathematics · key term
A formula relating each side of any triangle to the sine of its opposite angle: .
Specification G22 · Paper 1, Paper 2, Paper 3
Revise: Sine and Cosine RulesThe cosine rule is useful when two sides and their included angle are known but there is no complete opposite pair for the sine rule.
Specification G22 · Paper 1, Paper 2, Paper 3
A formula relating each side of a triangle to the sine of its opposite angle: .
Use the sine rule only when you know an angle–opposite-side pair. Use the cosine rule for SAS or SSS information.
Use the sine rule only when you have a known opposite side–angle pair. Use the cosine rule for SAS or SSS information.
When finding an angle using the sine rule, check whether the supplementary angle is also possible.
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Used by AQA, Edexcel and OCR
The sine rule and cosine rule allow us to solve any triangle, including one with no right angle. To solve a triangle means to find one or more of its unknown side lengths or angles.
Specification 10.05d · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A rule relating each side length of a triangle to the sine of its opposite angle: a/sin A = b/sin B = c/sin C.
Revise: Sine RuleThe sine rule helps you find a missing length or angle in a triangle that need not be right-angled.