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1.8 E: Trigonometry

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Question 124

A precision robotic arm is calibrated such that its angular deviation ψ\psiψ (in degrees) from a reference plane satisfies the equilibrium alignment condition:

3tan⁡(ψ+60∘)=5cos⁡(ψ+60∘) 3 \tan(\psi + 60^\circ) = 5 \cos(\psi + 60^\circ) 3tan(ψ+60∘)=5cos(ψ+60∘)

Solve this equation for the interval −180∘<ψ≤180∘-180^\circ < \psi \le 180^\circ−180∘<ψ≤180∘.

Give your answers to one decimal place where appropriate.

[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