OCR A-level Mathematics A · H240

Trigonometric equations & proofs

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OCR format & instructions

Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

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

QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

In this question, angles are measured in radians.

(a)

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

[3]

(b)

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

[4]

(c)

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

[2]

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

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

(c)

Answer booklet · Question 1(c)

Need a nudge?Three small hints · no answer revealed