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

Use the identity sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1sin2θ+cos2θ=1 to prove that 1+tan⁡2θ=sec⁡2θ1 + \tan^2\theta = \sec^2\theta1+tan2θ=sec2θ.

[2]
b.

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

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

Give your answers in terms of π\piπ.

[5]

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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