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1.6 C: Coordinate geometry in the (x, y) plane

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Question 17

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

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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