Unit 3: Geometry and Trigonometry
Topic 3.6: Trigonometric Identities Questions
Practice 20 exam-style questions for IB Math AA SL Topic 3.6. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Find2 marks
2026
Given sin θ = 4/5 and θ is acute, find the exact value of cos θ.
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2026
Given sin θ = 5/13 and cos θ = 12/13, find sin 2θ.
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An angle θ has sin θ = 7/25 together with cos θ = 24/25. Work out sin 2θ.
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2026
Given and θ is acute, find the exact value of cos θ.
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2026
Given that and , find the exact value of cos θ.
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2026
Simplify the expression 5 − 5cos2θ.
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For an angle θ with cos θ = 2/3, state the exact value of cos 2θ as a fraction.
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2026
Show that (sin θ)/(1 − cos2θ) = 1/sin θ, for sin θ ≠ 0.
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It is known that sin 2θ = 0.45. Calculate the value of 6 sin θ cos θ.
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The expression 6 sin x cos x can be rewritten as which of these?
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2021
Let and . Show that for every real .
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2021
Show that wherever both sides are defined.
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