Unit 3: Geometry and Trigonometry
Topic 3.9: Reciprocal & inverse trig (HL only) Questions
Practice 20 exam-style questions for IB Math AA SL Topic 3.9. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
21 mark
2026
To solve cot x = 1, the quickest first move is to:
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2026
Find the exact value of sin(arccos(5/13)).
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2026
The graph of y = arcsin x is obtained from y = sin x (on [−π/2, π/2]) by:
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2026
State the domain and range of f(x) = arctan x, and the equations of its asymptotes.
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2026
For y = arcsin x, the value arcsin(sin(5π/6)) is:
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2026
Solve 3 csc x = 6 for 0 ≤ x < 2π.
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2026
Find the exact value of csc(π/3), sec(π/4) and cot(π/6).
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2026
Which expression equals sec²θ − tan²θ for all valid θ?
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2026
Given that tan θ = 2 and θ is acute, find the exact value of sec θ.
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2026
Find the exact value of arccos(0), arcsin(−√2/2) and arctan(1).
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Unlock Question19Sketch3 marks
2026
The function f(x) = arccos x has domain −1 ≤ x ≤ 1. Sketch y = f(x), giving the coordinates of the endpoints, and write down f(1/2).
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2026
Explain why is defined only for , and why its range is restricted to .
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