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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 56
a.

Use the identity cos⁡2θ+sin⁡2θ≡1\cos^2\theta + \sin^2\theta \equiv 1cos2θ+sin2θ≡1 to prove that tan⁡2θ≡sec⁡2θ−1\tan^2\theta \equiv \sec^2\theta - 1tan2θ≡sec2θ−1.

[2]
b.

Solve, for 0°≤θ≤360°0° \leq \theta \leq 360°0°≤θ≤360°, the equation

tan⁡2θ+sec⁡2θ+5sec⁡θ=2\tan^2\theta + \sec^2\theta + 5\sec\theta = 2tan2θ+sec2θ+5secθ=2

Give your answers to one decimal place.

[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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