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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 24
a.

Prove that cos⁡θ+sin⁡θtan⁡θ≡sec⁡θ\cos\theta + \sin\theta\tan\theta \equiv \sec\thetacosθ+sinθtanθ≡secθ.

[3]
b.

Hence find the exact roots of the equation

cos⁡θ+sin⁡θtan⁡θ=4cos⁡θ\cos\theta + \sin\theta\tan\theta = 4\cos\thetacosθ+sinθtanθ=4cosθ

for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π.

[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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