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1.8 E: Trigonometry

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Question 46

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]

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank