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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 43
a.

Given that θ \theta\,θ is small, use the small angle approximation of cos⁡θ \cos \theta\,cosθ to show that

2cos⁡(3θ)+cos⁡2(θ)≈3−10θ2+0.25θ4 2 \cos(3\theta) + \cos^2(\theta) \approx 3 - 10\theta^2 + 0.25\theta^4 2cos(3θ)+cos2(θ)≈3−10θ2+0.25θ4
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b.

Hence find an approximation of 2cos⁡(3θ)+cos⁡2(θ)2 \cos(3\theta) + \cos^2(\theta)2cos(3θ)+cos2(θ) when θ=6∘\theta = 6^\circθ=6∘

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c.

Calculate the percentage error in your approximation

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Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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