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1.8 E: Trigonometry

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Question 125

A robotic arm's horizontal extension EEE (in cm) is modelled by the function E(α)=5cos⁡2α+14cos⁡αE(\alpha) = 5 \cos 2\alpha + 14 \cos \alphaE(α)=5cos2α+14cosα, where α \alpha\,α is the motor angle in degrees and 0≤α<360∘0 \le \alpha < 360^\circ0≤α<360∘. Determine, to one decimal place, the values of α \alpha\,α for which the extension is exactly 3 cm. (Solutions based entirely on graphical or numerical methods are not acceptable.)

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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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