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1.7.15 Sec, cosec and cot functions (A-level only)

1.7.15 Sec, cosec and cot functions (A-level only)

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Question 12
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]
Markscheme

1.7.15 Sec, cosec and cot functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.15 Sec, cosec and cot functions (A-level only)

16 exam-style questions on OCR (MEI) A Level Maths 1.7.15 Sec, cosec and cot functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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