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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 5
a.

When θ \theta\,θ is small, show that 3cos⁡θsin⁡θ\displaystyle \frac{3\cos \theta}{\sin \theta}sinθ3cosθ​ can be approximated by 6−3θ22θ\displaystyle \frac{6 - 3\theta^2}{2\theta}2θ6−3θ2​

[3]
b.

Hence, approximate the value of 3cos⁡0.2sin⁡0.2\displaystyle \frac{3\cos 0.2}{\sin 0.2}sin0.23cos0.2​

[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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