9709 · topic questions
Trigonometry
12 past-paper questions on Trigonometry
Hence or otherwise solve the equation sec⁴2α-tan⁴ 2α = 2 tan² 2α sec² 2α for 0° < α < 180°.
Practise the full question →Solve the equation tan²θ+7 sinθ cosec 2θ = 8 for -π < θ < π.
Practise the full question →Show that 3 tan 20+ tan(0+45°) = (tan²0+8 tan0+1)/(1-tan²0)
Practise the full question →Hence solve the equation 7 sin½x+24 cos½x = 24.5 for 0 < x < π.
Practise the full question →Express 3 cos 2x - √3 sin 2x in the form Rcos(2x+α), where R > 0 and 0 < α < ½π. Give the exact values of R and α.
Practise the full question →Hence solve the equation tan³2θ+2 tan 4θ - tan 2θ = 0 for 0 < θ < π. Give your answers in exact form.
Practise the full question →Show that the equation tan³x+2 tan2x-tanx = 0 may be expressed as tan⁴x-2 tan²x-3 = 0 for tanx ≠ 0.
Practise the full question →Hence solve the equation 3 tan 20+ tan(0+45°) = 4 for 0° < θ < 180°.
Practise the full question →(a) Prove that sin² 2x+4 cos²x cos2x=4cos4x. [3]
Practise the full question →Hence solve the equation 8 cos³θ + 54 cos²θ - 17 cosθ - 21 = 0, for 0° ≤ θ ≤ 360°.
Practise the full question →(b) Find the set of possible values of the constant k for which the equation sin² 2x+4 cos²x cos2x+5 = k has no real solutions.…
Practise the full question →Prove that 2 sinθ cosec 2θ = sec θ.
Practise the full question →
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Trigonometry (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Trigonometry. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Trigonometry questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Trigonometry. Each links straight to instant marking against the official 9709 scheme.
- How are Trigonometry answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Trigonometry first?
- Start with the free Mathematics lesson on Trigonometry, then come back and drill past-paper questions under timed conditions.