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3.5.4 Trigonometry (A-level only)

3.5.4 Trigonometry (A-level only)

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Question 2
70%
a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that sec⁡2θ=1+tan⁡2θ\sec^2\theta = 1 + \tan^2\thetasec2θ=1+tan2θ.

[2]
b.

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

sec⁡2θ+3tan⁡2θ=13 \sec^2\theta + 3\tan^2\theta = 13 sec2θ+3tan2θ=13

Give your answers in terms of π\piπ.

[5]
Markscheme

3.5.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5.4 Trigonometry (A-level only)

23 exam-style questions on WJEC A Level Maths 3.5.4 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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