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1.8 E: Trigonometry

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Question 67

Prove that:

a.

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

[3]
b.

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

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

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