How many Trigonometry questions are there for 9709?

This page collects 5 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.

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9709 · topic questions

Trigonometry

Mathematics5 questions

5 past-paper questions on Trigonometry

9709/33 · May/June 20254 marks
Prove the identity cot²θ - tan²θ ≡ 4 cot 2θ cosec 2θ.
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9709/33 · May/June 20254 marks
Hence solve the equation cot²x - tan²x = 5 sec 2x for 0° < x < 90°.
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9709/33 · October/November 20243 marks
Show that cos⁴θ-sin⁴θ-4 sin²θcos²θ = cos²2θ+ cos 2θ-1
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9709/33 · October/November 20243 marks
Solve the equation cos⁴α-sin⁴α = 4 sin²α cos²α for 0° ≤ α ≤ 180°.
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9709/33 · May/June 20252 marks
Given that 0 < y < π/2, find the values of y when x = 0.
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Question stems are shortened previews. Open a question to attempt the full version and have it marked.

Worked example

What a lost mark actually looks like

This answer reaches the right coordinates and still drops a mark — the conclusion is stated, but never justified. Examiners pay for the reasoning, not the answer.

MARKED

80%

Strong

M1dy/dx = 3x^2 - 12x + 9M1 earned
M1(x - 1) $(x - 3) = 0$ M1 earned
A1 $x = 1$ or $x = 3$ A1 earned
B1(1, 5) is a maximum and (3, 1) is a minimumB1 not earned

B1 — withheld
You stated the nature of each point correctly, but stated it without justification. This mark needs the reasoning shown — either evaluate the second derivative (d²y/dx² = 6x − 12, giving −6 at $x = 1$ and +6 at $x = 3$ ) or show a sign change of dy/dx either side of each point. An unsupported assertion earns nothing here even when the conclusion is right.

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.

Mark your answer →Learn Trigonometry 9709 grade boundaries

Frequently asked questions

How many Trigonometry questions are there for 9709?: This page collects 5 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.