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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 22

Establish the following trigonometric results.

a.

cosec⁡2ϕ−tan⁡2ϕ≡cot⁡2ϕ−sec⁡2ϕ+2\operatorname{cosec}^2\phi - \tan^2\phi \equiv \cot^2\phi - \sec^2\phi + 2cosec2ϕ−tan2ϕ≡cot2ϕ−sec2ϕ+2

[2]
b.

(sec⁡x+cos⁡x)2≡tan⁡2x+cos⁡2x+3(\sec x + \cos x)^2 \equiv \tan^2 x + \cos^2 x + 3(secx+cosx)2≡tan2x+cos2x+3

[3]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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