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1.7.22 Proofs involving trigonometric functions (A-level only)

1.7.22 Proofs involving trigonometric functions (A-level only)

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Question 8

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]
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1.7.22 Proofs involving trigonometric functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.22 Proofs involving trigonometric functions (A-level only)

38 exam-style questions on OCR (MEI) A Level Maths 1.7.22 Proofs involving trigonometric functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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