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1.8 E: Trigonometry

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Question 39
a.

When x x\,x is small, show that tan⁡(2x)cos⁡(5x)\tan(2x) \cos(5x)tan(2x)cos(5x) can be approximated by 2x−25x32x - 25x^32x−25x3

[3]
b.

Hence, approximate the value of tan⁡(0.1)cos⁡(0.25)\tan(0.1) \cos(0.25)tan(0.1)cos(0.25)

[2]
c.

Calculate the percentage error in your approximation

[1]
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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