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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 50
a.

When θ \theta\,θ is small, show that cos⁡θ2sin⁡θ\displaystyle \frac{\cos \theta}{2\sin \theta}2sinθcosθ​ can be approximated by 2−θ24θ\displaystyle \frac{2 - \theta^2}{4\theta}4θ2−θ2​

[3]
b.

Hence, approximate the value of cos⁡π302sin⁡π30\displaystyle \frac{\cos \frac{\pi}{30}}{2\sin \frac{\pi}{30}}2sin30π​cos30π​​

[2]
c.

Calculate the percentage error in your approximation

[2]
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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