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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 98
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

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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