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Trigonometric Functions

Trigonometric Functions

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Question 9
a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that cosec2θ=1+cot⁡2θ\text{cosec}^2\theta = 1 + \cot^2\thetacosec2θ=1+cot2θ

[2]
b.

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

cosec2θ+cot⁡2θ=3 \text{cosec}^2\theta + \cot^2\theta = 3 cosec2θ+cot2θ=3

Give your answers in terms of π\piπ.

[5]
Markscheme

Trigonometric Functions Questions

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

54 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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