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Trigonometric Functions

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Question 11
a.

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

[2]
b.

Solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,

tan⁡2θ+sec⁡2θ+ksec⁡θ=2 \tan^2\theta + \sec^2\theta + k\sec\theta = 2 tan2θ+sec2θ+ksecθ=2

where k>1 k>1\,k>1 is a constant.

Give your answers in terms of kkk.

[5]
Markscheme

Trigonometric Functions Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Functions

274 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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