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Trigonometric Functions

Trigonometric Functions

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Question 14

Prove that:

a.

sec⁡4A−tan⁡4A≡2sec⁡2A−1\sec^4 A - \tan^4 A \equiv 2\sec^2 A - 1sec4A−tan4A≡2sec2A−1

[2]
b.

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

sec⁡4A−tan⁡4A=3 \sec^4 A - \tan^4 A = 3 sec4A−tan4A=3
[4]
Markscheme

Trigonometric Functions Questions

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

54 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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