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1.8 E: Trigonometry

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Question 8

Establish the following trigonometric results:

a.

cosec2ϕ−tan⁡2ϕ≡cot⁡2ϕ−sec⁡2ϕ+2\text{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

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank