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1.8 E: Trigonometry

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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

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

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