IP AMaths Notes (Upper Sec, Year 3-4): 13) Trigonometry II
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Trig equations, compound angles, and auxiliary angle method for IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Identities to deploy
- 2 Worked example - Solve trig equation
- 3 Worked example - Auxiliary angle
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 13) Trigonometry II cover?
A: Trig equations, compound angles, and auxiliary angle method for IP AMaths.
With radian fluency in hand, solve trig equations by mapping solutions across quadrants and applying compound-angle identities.
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This topic stays within the SEAB GCE O-Level Additional Mathematics (4049) scope: compound-angle identities, auxiliary-angle rewriting, and solving trigonometric equations in radians.
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 time | What to take away |
| 1 second | Trigonometry II is about solving equations across the correct interval. |
| 10 seconds | Reduce the equation to a familiar trig function, find all quadrant solutions, then check the requested range in radians. |
| 100 seconds | Example: if sin x = 1/2 from 0 to just before 2pi, include both pi/6 and 5pi/6, not just the calculator's first answer. |
1 Identities to deploy
- Compound:
