9709 · topic questions
Trigonometry
12 past-paper questions on Trigonometry
Solve the equation 3 cotx-4 cot2x = 3 for 0° ≤ x ≤ 180°.
Solve the equation 4 sin θ tan θ = 1 + 5 cos θ for -180° < θ < 180°.
Solve the equation sin²θ+2cos²θ = 4 sinθ+3 for 0° < θ < 360°.
The first two terms of a geometric progression are 4 sin²θ, 8 sin³θ, where θ is an angle such that 0 < θ < π/2. Given that the…
Solve the equation 6 sinθ = 1+ 2/sinθ for -180° < θ < 180°.
(b) Hence solve the equation (sinθcosθ + 7cos²θ)/(1 - 4cos²θ) = 5/tanθ for 0° ≤ θ ≤ 180°.
Solve the equation 4 sin⁴θ + 12 sin²θ – 7 = 0 for 0° ≤ θ ≤ 360°.
(a) Prove the identity (tanθ + 7)/(tan²θ - 3) = (sinθcosθ + 7cos²θ)/(1 - 4cos²θ)
It is given that β is an angle between 90° and 180° such that sinβ = a. Express tan²β-3 sinβcosβ in terms of a.
Prove the identity sin²x-cosx-1 / 1+cosx = -cosx.
Show that cos⁴θ - sin⁴θ ≡ cos 2θ.
Hence solve the equation cos 2x (7 tan 2x - 5 cos 2x) = 1 for 0° < x < 180°.
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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.
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- 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.