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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 114
a.

Use the identity cos⁡2θ+sin⁡2θ≡1\cos^2\theta + \sin^2\theta \equiv 1cos2θ+sin2θ≡1 to prove that cosec⁡2θ≡1+cot⁡2θ\operatorname{cosec}^2\theta \equiv 1 + \cot^2\thetacosec2θ≡1+cot2θ.

[2]
b.

Solve, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π, the equation

cosec⁡2θ+cot⁡2θ=3\operatorname{cosec}^2\theta + \cot^2\theta = 3cosec2θ+cot2θ=3

Give your answers in terms of π\piπ.

[5]
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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