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6.4 Trigonometric Identities

6.4 Trigonometric Identities

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Question 6

Establish the following trigonometric results:

a.

cosec2ϕ−tan⁡2ϕ≡cot⁡2ϕ−sec⁡2ϕ+2\text{cosec}^2 \phi - \tan^2 \phi \equiv \cot^2 \phi - \sec^2 \phi + 2cosec2ϕ−tan2ϕ≡cot2ϕ−sec2ϕ+2

[2]
b.

(sec⁡x+cos⁡x)2≡tan⁡2x+cos⁡2x+3(\sec x + \cos x)^2 \equiv \tan^2 x + \cos^2 x + 3(secx+cosx)2≡tan2x+cos2x+3

[3]
Markscheme

6.4 Trigonometric Identities Questions

  1. A Level
  2. /Maths
  3. /6.4 Trigonometric Identities

12 exam-style questions on Edexcel A Level Maths 6.4 Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.

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