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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 4
a.

Prove that

sin⁡θcos⁡θ+cos⁡θsin⁡θ≡2cosec⁡2θ\displaystyle \frac{\sin\theta}{\cos\theta} + \frac{\cos\theta}{\sin\theta} \equiv 2\operatorname{cosec}2\thetacosθsinθ​+sinθcosθ​≡2cosec2θ

[3]
b.

Hence solve, for 0°≤θ<360°0° \leq \theta < 360°0°≤θ<360°, the equation

sin⁡θcos⁡θ+cos⁡θsin⁡θ=5\displaystyle \frac{\sin\theta}{\cos\theta} + \frac{\cos\theta}{\sin\theta} = 5cosθsinθ​+sinθcosθ​=5

Give your answers to one decimal place.

[4]
Markscheme

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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