Skip to content

Course home

3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536
Question 33
a.

Show that cos⁡3θ≡4cos⁡3θ−3cos⁡θ\cos 3\theta \equiv 4\cos^3\theta - 3\cos\thetacos3θ≡4cos3θ−3cosθ.

[3]
b.

Hence solve, for −π≤x≤π-\pi \leq x \leq \pi−π≤x≤π, the equation

1−cos⁡3x=sin⁡2x1 - \cos 3x = \sin^2 x1−cos3x=sin2x

Give your answers to three significant figures where they are not exact.

[5]
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.

Question bank