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Parametric Equations

Parametric Equations

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Question 129

A curve C C\,C has parametric equations

x=2cos⁡t−k,y=4sin⁡2t+30≤t≤2π x = 2\cos t-k, \quad y = 4\sin^2 t+3 \quad 0\leq t\leq 2\pi x=2cost−k,y=4sin2t+30≤t≤2π

where k k\,k is a constant such that 0<k<20<k<20<k<2.

a.

Find an equation for C C\,C in the form y=f(x)y=f(x)y=f(x), in terms of kkk, and state the domain for which the curve is defined.

[3]
b.

Sketch the curve

[3]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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