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OCR A-level Mathematics A · H240

Trigonometric equations & proofs

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

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  • 01 · Pure · 100 marks · 2 hours
  • 02 · Pure & statistics · 100 marks · 2 hours
  • 03 · Pure & mechanics · 100 marks · 2 hours
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QUESTION PAPER
Mathematics · A levelPure mathematics · H240/01
Torus Maths original · OCR style
1

Angles are measured in radians. Consider sin⁡x+cos⁡x=ksin⁡2x\sin x+\cos x=k\sin2x, 0≤x<2π0\leq x<2\pi, with k>0k>0.

(a)

Determine the number of solutions for every possible value of k.

[5]

(b)

When k=3k=3, give all solutions exactly, using inverse trigonometric functions where necessary.

[5]

Question reference: ocr-a-level-extreme-10-01Report a question →

Answer booklet

Question 1 · Show your working

(a)
(b)
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