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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 57
a.

For a small angle θ\thetaθ, where θ \theta\,θ is measured in radians, show that

2cos⁡θ+(sin⁡θ+1)2≈2θ+32\cos\theta + (\sin\theta + 1)^2 \approx 2\theta + 32cosθ+(sinθ+1)2≈2θ+3

[3]
b.

Hence determine an approximate solution of the equation

2cos⁡θ+(sin⁡θ+1)2=20tan⁡θ2\cos\theta + (\sin\theta + 1)^2 = 20\tan\theta2cosθ+(sinθ+1)2=20tanθ

where θ \theta\,θ is small and positive.

[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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