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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 4
a.

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

3cos⁡(2θ)+cos⁡2(θ)≈4−7θ2+0.25θ4 3 \cos(2\theta) + \cos^2(\theta) \approx 4 - 7\theta^2 + 0.25\theta^4 3cos(2θ)+cos2(θ)≈4−7θ2+0.25θ4
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b.

Hence find an approximation of 3cos⁡(2θ)+cos⁡2(θ)3 \cos(2\theta) + \cos^2(\theta)3cos(2θ)+cos2(θ) when θ=4∘\theta = 4^\circθ=4∘

[2]
c.

Calculate the percentage error in your approximation

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Markscheme

3.5 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Trigonometry (A-level only)

225 exam-style questions on WJEC A Level Maths 3.5 Trigonometry (A-level only), covering 3.5.1 Trigonometry (A-level only), 3.5.2 Trigonometry (A-level only), 3.5.3 Trigonometry (A-level only), 3.5.4 Trigonometry (A-level only), 3.5.5 Trigonometry (A-level only), 3.5.6 Trigonometry (A-level only), 3.5.7 Trigonometry (A-level only), and 3.5.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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