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Parametric Equations

Parametric Equations

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Question 58

A curve S S\,S has parametric equations

x=1+2sin⁡t,y=5−cos⁡2t0≤t≤2π x = 1 + 2 \sin t, \quad y = 5 - \cos^2 t \quad 0 \leq t \leq 2\pi x=1+2sint,y=5−cos2t0≤t≤2π
a.

Find an equation for S S\,S in the form y=f(x)y = f(x)y=f(x) 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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