Unit 3: Geometry and Trigonometry
Topic 3.8: Trigonometric Equations Questions
Practice 20 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.
2Solve2 marks
2026
Solve cos x = 0.5 for 0° ≤ x ≤ 360°.
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Solve cos x = 0.6 for 0° ≤ x ≤ 360°, giving your answers to 3 s.f.
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2026
Solve tan x = 1 for 0° ≤ x ≤ 360°.
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2026
Solve sin x = −0.5 for 0° ≤ x ≤ 360°.
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2026
Solve cos x = 0.8 for 0° ≤ x ≤ 360°, to 3 s.f.
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Between 0° and 360°, list all values of x for which sin x = −0.4, to 3 s.f.
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2024
Find every angle between and inclusive for which equals .
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2026
Solve cos 2x = cos x for 0 ≤ x ≤ π.
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2026
Solve sin 2x = sin x for 0 ≤ x ≤ π.
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Find every solution of tan x = −1 between 0° and 360°.
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The depth of water at a jetty is d = 3 sin(15t)° + 8 metres, where t is the time in hours. Find the first time after t = 0 at which the depth is 9.5 m.
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Which value of x satisfies 2cos2x − cos x − 1 = 0 for 0 ≤ x ≤ π?
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2026
The height of a buoy is metres, where t is in seconds. Find the first time at which , to 3 s.f.
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2026
Solve 2sin2x + 3cosx − 3 = 0 for 0° ≤ x ≤ 360°.
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2026
Solve 2cos2x − cosx = 0 for 0° ≤ x ≤ 360°.
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