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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 4
a.

Show that, for small values of θ \theta\,θ measured in radians,

2cos⁡3θ+sin⁡4θ−tan⁡θ≈A+Bθ+Cθ22\cos 3\theta + \sin 4\theta - \tan\theta \approx A + B\theta + C\theta^22cos3θ+sin4θ−tanθ≈A+Bθ+Cθ2

where AAA, B B\,B and C C\,C are constants to be found.

[3]
b.

Use your answer to part (a) to find an approximation for

2cos⁡0.21+sin⁡0.28−tan⁡0.072\cos 0.21 + \sin 0.28 - \tan 0.072cos0.21+sin0.28−tan0.07

Give your answer to three decimal places.

[2]
c.

The true value of the expression in part (b) is 2.1623 to four decimal places. Calculate the percentage error in your approximation, giving your answer to two significant figures.

[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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