6.3 Using Sec x, Cosec x and Cot x
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a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that sec⁡2θ=1+tan⁡2θ\sec^2\theta = 1 + \tan^2\thetasec2θ=1+tan2θ.

[2]
b.

Solve, for 0≤θ≤2π0 \leq \theta \leq 2\pi0≤θ≤2π, the equation,

sec⁡2θ+3tan⁡2θ=13 \sec^2\theta + 3\tan^2\theta = 13 sec2θ+3tan2θ=13

Give your answers in terms of π\piπ.

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6.3 Using Sec x, Cosec x and Cot x Questions

Practise Edexcel A Level Maths 6.3 Using Sec x, Cosec x and Cot x with exam-style questions for A Level Maths. 16 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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6.3 Using Sec x, Cosec x and Cot x Questions

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