Skip to content

Course home

Trigonometry and Modelling

Trigonometry and Modelling

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116
Question 37
a.

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

[4]
b.

Hence, solve, for −π≤θ≤π-\pi \leq \theta \leq \pi−π≤θ≤π,

1−cos⁡3x=sin⁡2x 1 - \cos 3x = \sin^2 x 1−cos3x=sin2x
[5]
Markscheme

Trigonometry and Modelling Questions

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

137 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.

Question bank