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1.8 E: Trigonometry

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Question 35
i.

The angular position, α\alphaα, of a robotic arm segment relative to its base is modelled by the equation

6cos⁡(1.5α−1.2)+2=0 6\cos(1.5\alpha - 1.2) + 2 = 0 6cos(1.5α−1.2)+2=0

Determine all possible values for α\alphaα in the range −π<α<π-\pi < \alpha < \pi−π<α<π, giving your answers in radians to 2 decimal places.

[5]
ii.

In a solar tracking system, the tilt angle θ\thetaθ is required to satisfy the equation

5tan⁡θsin⁡θ=3−cos⁡θ 5 \tan \theta \sin \theta = 3 - \cos \theta 5tanθsinθ=3−cosθ

Solve this equation for 0∘<θ<360∘0^\circ < \theta < 360^\circ0∘<θ<360∘, giving your answers to the nearest 0.1 degree.

[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.

Question bank