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IP AMaths Notes (Upper Sec, Year 3-4): 12) Trigonometry I

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Radian measure, special angles, and core identities for Additional Mathematics trigonometry.

Last updated 30 Nov 2025

Marcus Pang
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Marcus Pang·Managing Director (Maths)

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  1. Start Here
  2. 1 Key facts
  3. 2 Worked example - Arc and sector
  4. 3 Worked example - Identity manipulation
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 12) Trigonometry I cover?
A: Radian measure, special angles, and core identities for Additional Mathematics trigonometry.

Everything in upper-sec trig is built on radians and the primary identities. Memorise the exact values and practise expressing angles in coterminal forms.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

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These fundamentals align with the SEAB GCE O-Level Additional Mathematics (4049) trigonometry scope for exams from 2025: radian measure, sector arc/area, Pythagorean and co-function identities, and special-angle values.

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Start Here

Read timeWhat to take away
1 secondTrigonometry I is radians, exact values, and the core identities.
10 secondsConvert angles into radians early, keep exact values when possible, and use identities to simplify before substituting numbers.
100 secondsExample: for sector questions, use s = r theta and A = 1/2 r^2 theta, with theta in radians. Degrees must be converted first.

1 Key facts

  • Radian definition: arc length s=rθ s = r\theta

Sources

  1. SEAB GCE O-Level Additional Mathematics (4049) syllabus (examinations from 2025)