6.4 Trigonometric Identities
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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]

6.4 Trigonometric Identities Questions

Practise Edexcel A Level Maths 6.4 Trigonometric Identities with exam-style questions for A Level Maths. 12 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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6.4 Trigonometric Identities Questions

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