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1.8 E: Trigonometry

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Question 12
a.

When x x\,x is small, show that sin⁡(2x)cos⁡(4x)\sin(2x) \cos(4x)sin(2x)cos(4x) can be approximated by 2x−16x32x - 16x^32x−16x3

[3]
b.

Hence, approximate the value of sin⁡(0.2)cos⁡(0.4)\sin(0.2) \cos(0.4)sin(0.2)cos(0.4)

[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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