Grade 11 · Geometry · 84 pages · PDF

The Sine & Cosine Rules

Clear, exam-focused notes on the sine rule, cosine rule, the ambiguous case and the area of any triangle, with fully worked examples.

A complete 22-page IGCSE guide to solving non-right-angled triangles. It starts with standard triangle labelling, then teaches the sine rule for finding sides and angles, including a full explanation of the ambiguous case. It also covers the cosine rule for finding a side from two sides and the included angle, or an angle from all three sides, and the area formula ½ab sin C. A decision table shows exactly which rule to use. The final section works through a multi-step quadrilateral problem that combines all three tools. Every method comes with clear diagrams and step-by-step worked examples. It ends with a summary, a keyword guide and exam tips.

What's in the pack

Every item can be bought on its own. Buy several together and the price drops.

• Main Notes · 23 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 2 pages

  Cheatsheet

  The whole topic on a page or two, for the night before.

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  FreeAdd for free

• Worksheet · 31 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 28 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Labelling non-right-angled triangles
• The sine rule
• Finding a missing side with the sine rule
• Finding a missing angle with the sine rule
• The ambiguous case
• The cosine rule
• Finding a missing side with the cosine rule
• Finding a missing angle with the cosine rule
• Area of a triangle using ½ab sin C
• Choosing the right rule
• Multi-step and quadrilateral problems
• Real-world triangle problems

Format

Print-ready PDF

Items

4

Delivery

By email