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1.8 E: Trigonometry

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Question 33
a.

By writing cos⁡3θ \cos 3\theta\,cos3θ as cos⁡(2θ+θ)\cos(2\theta + \theta)cos(2θ+θ) show that cos⁡3θ=4cos⁡3θ−3cos⁡θ\cos 3\theta = 4\cos^3\theta - 3\cos\thetacos3θ=4cos3θ−3cosθ

[2]
b.

Solve, for 0≤θ≤π0 \leq \theta \leq \pi0≤θ≤π, the equation,

4cos⁡3θ−3cos⁡θ=0.5 4\cos^3\theta - 3\cos\theta = 0.5 4cos3θ−3cosθ=0.5

Give your answers in terms of π\piπ.

[4]
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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