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Trigonometric Functions

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Question 156
a.

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

[2]
b.

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

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

where k>1k>1k>1, giving your answers in terms of kkk.

[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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