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1.8 E: Trigonometry

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Question 86
a.

Prove that sec⁡4x−tan⁡4x≡1+2tan⁡2x\sec^4 x - \tan^4 x \equiv 1 + 2\tan^2 xsec4x−tan4x≡1+2tan2x.

[3]
b.

Hence solve, for 0°≤x≤360°0° \leq x \leq 360°0°≤x≤360°, the equation

sec⁡4x−tan⁡4x=3\sec^4 x - \tan^4 x = 3sec4x−tan4x=3

[4]
Markscheme

1.8 E: Trigonometry Questions

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

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, 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. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank