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Trigonometric Functions

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Question 76

Prove that:

a.

2sec⁡4x−2tan⁡4x≡2+4tan⁡2x2\sec^4x - 2\tan^4x \equiv 2 + 4\tan^2x2sec4x−2tan4x≡2+4tan2x

[3]
b.

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

2sec⁡4x−2tan⁡4x=6 2\sec^4x - 2\tan^4x = 6 2sec4x−2tan4x=6
[4]
Markscheme

Trigonometric Functions Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Functions

274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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