Edexcel A-level Mathematics · 9MA0

Trigonometric equations & proofs

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

01 · Pure 1 · 100 marks · 2 hours
02 · Pure 2 · 100 marks · 2 hours
03 · Statistics & mechanics · 100 marks · 2 hours

Official specification ↗ · Official past papers ↗

QUESTION PAPER

Mathematics · A levelPure Mathematics practice · 9MA0

Torus Maths original · Edexcel style

Use the angle addition formulae where appropriate.

(a)

Show that $\sin3x=3\sin x-4\sin^3x$ .

(3)

Working

(b)

Solve $\sin3x=2\sin x$ for $0<x<4\pi$ . Give all solutions in exact form.

(4)

Working

(c)

Find the sum of all the solutions in the specified interval.

(2)

Working

(Total for Question 1 is 9 marks)

Question reference: edexcel-unseen-04-01Report a question →

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