Trigonometric Identities and Reduction
Prove identities with a reliable method, reduce any angle to an acute one, and know which quadrant makes each ratio positive.
Choose between the sine rule, cosine rule and area rule with confidence, and handle 2D and 3D problems without losing your way.
By the end, you can
select the correct trigonometric rule for a triangle and apply it to 2D and 3D problems.
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Sine Rule, Area Rule and Applied Trigonometry
Three rules, one decision
Non-right-angled triangles need one of three rules, and choosing correctly is the whole question. Everything after that is substitution. 📐
The choice depends entirely on what you are given, so the first thing to do is label the triangle and take stock.
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Sine Rule, Area Rule and Applied Trigonometry
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Next on the Mathematics P2 path · step 8 of 9
Trigonometric Equations and Graph Transformations
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Prove identities with a reliable method, reduce any angle to an acute one, and know which quadrant makes each ratio positive.
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Read a circle's centre and radius from its equation, complete the square when it is not in standard form, and find the tangent at any point.
Learn the circle theorems that carry the marks, and write proofs the way they are marked — a statement with a reason on every single line.
Estimate a mean from grouped data, build and read an ogive, and draw a box-and-whisker plot that shows skewness and outliers.
The whole Mathematics P2 path → All High School MicroQuests → Browse all 134 →
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Sine Rule, Area Rule and Applied Trigonometry
R19 · 14 min · certificate