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Trigonometry and Modelling

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Question 125
a.

Prove the identity:

1+cos⁡4xsin⁡4x≡cot⁡2x \frac{1 + \cos 4x}{\sin 4x} \equiv \cot 2x sin4x1+cos4x​≡cot2x
[4]
b.

Hence, solve, for 0≤θ<2π0 \leq \theta < 2\pi0≤θ<2π,

1+cos⁡4θ=sin⁡4θ 1 + \cos 4\theta = \sin 4\theta 1+cos4θ=sin4θ
[3]
Markscheme

Trigonometry and Modelling Questions

  1. A Level
  2. /Maths
  3. /Trigonometry and Modelling

348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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