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1.8 E: Trigonometry

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Question 24
a.

When θ \theta\,θ is small, show that cos⁡θ3sin⁡θ\displaystyle \frac{\cos \theta}{3\sin \theta}3sinθcosθ​ can be approximated by 2−θ26θ\displaystyle \frac{2 - \theta^2}{6\theta}6θ2−θ2​

[3]
b.

Hence, approximate the value of cos⁡0.13sin⁡0.1\displaystyle \frac{\cos 0.1}{3\sin 0.1}3sin0.1cos0.1​

[2]
c.

Calculate the percentage error in your approximation

[2]
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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