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1.8 E: Trigonometry

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Question 2
55%
a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that tan⁡2θ=sec⁡2θ−1\tan^2\theta = \sec^2\theta - 1tan2θ=sec2θ−1

[2]
b.

Solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,

tan⁡2θ+sec⁡2θ+5sec⁡θ=2 \tan^2\theta + \sec^2\theta + 5\sec\theta = 2 tan2θ+sec2θ+5secθ=2

Give your answers to 1 decimal place.

[5]
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.

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