Skip to content

Course home

6.4 Trigonometric Identities

6.4 Trigonometric Identities

Medium
123456789101112
Question 5

Prove that:

a.

sin⁡4α−cos⁡4α≡1−2cos⁡2α\sin^4 \alpha - \cos^4 \alpha \equiv 1 - 2\cos^2 \alphasin4α−cos4α≡1−2cos2α

[2]
b.

Hence solve, for 0≤α≤3600 \leq \alpha \leq 3600≤α≤360, the equation,

sin⁡4α−cos⁡4α=0.5 \sin^4 \alpha - \cos^4 \alpha = 0.5 sin4α−cos4α=0.5
[4]
Markscheme

6.4 Trigonometric Identities Questions

  1. A Level
  2. /Maths
  3. /6.4 Trigonometric Identities

12 exam-style questions on Edexcel A Level Maths 6.4 Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank