Unit 3: Geometry and Trigonometry
Topic 3.8: Unit circle & trig equations (HL only) Questions
Practice 7 exam-style questions for IB Math AI SL Topic 3.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
31 mark
2026
On 0 ≤ x ≤ 360°, how many solutions does cos x = 0.5 have?
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2026
If sin θ = 0.6 and θ is acute, then cos θ equals:
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Solve the equation 2 sin x − √3 = 0 for 0° ≤ x ≤ 360°, giving your answers exactly, and state the value of cos 150° exactly.
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2026
A point on the unit circle has y-coordinate 1. Its angle (measured anticlockwise from the positive x-axis) is:
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2026
Find the greatest and least heights, the period, and the first two times at which the height is metres.
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