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1.8 E: Trigonometry

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Question 16
a.

When x x\,x is small, show that tan⁡(3x)cos⁡(2x)\tan(3x) \cos(2x)tan(3x)cos(2x) can be approximated by 3x−6x33x - 6x^33x−6x3

[3]
b.

Hence, approximate the value of tan⁡(0.3)cos⁡(0.2)\tan(0.3) \cos(0.2)tan(0.3)cos(0.2)

[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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