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3.5 Trigonometry (A-level only)

3.5 Trigonometry (A-level only)

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Question 147
a.

Prove the identity

1−cos⁡2xsin⁡2x≡tan⁡x\displaystyle \frac{1 - \cos 2x}{\sin 2x} \equiv \tan xsin2x1−cos2x​≡tanx

[4]
b.

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

1−cos⁡2θ=sin⁡2θ1 - \cos 2\theta = \sin 2\theta1−cos2θ=sin2θ

Give your answers in terms of π\piπ.

[3]
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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