Study guide

IP EMaths Notes (Upper Sec, Year 3-4): 10) Trigonometric Applications

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Apply sine and cosine rules, bearings, and area formulas to non-right-angled triangles and navigation tasks.

Last updated 30 Nov 2025

Marcus Pang
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Marcus Pang·Managing Director (Maths)

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  1. Start Here
  2. Formula summary
  3. Worked example - Cosine rule for an unknown side
  4. Worked example - Sine rule to find an angle
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 10) Trigonometric Applications cover?
A: Apply sine and cosine rules, bearings, and area formulas to non-right-angled triangles and navigation tasks.

Start Here

Read timeWhat to take away
1 secondWhen a triangle is not right-angled, use sine rule, cosine rule, or area formula.
10 secondsSketch first. Use cosine rule for two sides with the included angle, sine rule for matched side-angle pairs, and bearing differences to find the angle between paths.
100 secondsFollow the side, angle, and bearing examples to practise a clean decision process: draw the triangle, name the known values, choose the formula, then check whether any second angle is possible.

Extend beyond right triangles with the sine rule, cosine rule, and 12absinC\tfrac{1}{2} ab \sin C

Sources

  1. SEAB - O-Level syllabuses examined for school candidates 2026
  2. SEAB - Mathematics (4052) GCE O-Level 2026 syllabus (PDF)