Unit 3: Geometry and Trigonometry
Topic 3.8: Trigonometric Equations Questions
Practice 8 exam-style questions for IB Math AA SL Topic 3.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Solve2 marks
2026• Aimnova practice — 3.8.1
Solve tan x = 1 for 0° ≤ x ≤ 360°.
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2026• Aimnova practice — 3.8.1
Solve cos x = 0.5 for 0° ≤ x ≤ 360°.
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2026• Aimnova practice — 3.8.1
Solve sin x = −0.5 for 0° ≤ x ≤ 360°.
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2026• Aimnova practice — 3.8.1
Solve cos x = 0.8 for 0° ≤ x ≤ 360°, to 3 s.f.
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2026• Aimnova practice — 3.8.1
The height of a buoy is h = 2sin(60t)° + 5 metres, where t is in seconds. Find the first time t > 0 at which h = 6, to 3 s.f.
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2026• Aimnova practice — 3.8.1
Solve sin(2x) = 0.5 for 0° ≤ x ≤ 360°.
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2026• Aimnova practice — 3.8.1
Solve 2cos²x − cosx = 0 for 0° ≤ x ≤ 360°.
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2026• Aimnova practice — 3.8.1
Solve 2sin²x + 3cosx − 3 = 0 for 0° ≤ x ≤ 360°.
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