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3.3 Coordinate geometry in the (x, y) plane (A-level only)

3.3 Coordinate geometry in the (x, y) plane (A-level only)

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Question 48

The curve C C\,C has parametric equations

x=3+2cos⁡tx = 3 + 2\cos tx=3+2cost, y=2+4cos⁡2ty = 2 + 4\cos 2ty=2+4cos2t, where 0≤t≤2π0 \leq t \leq 2\pi0≤t≤2π

a.

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

[4]
b.

Sketch the curve.

[2]
Markscheme

3.3 Coordinate geometry in the (x, y) plane (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Coordinate geometry in the (x, y) plane (A-level only)

76 exam-style questions on WJEC A Level Maths 3.3 Coordinate geometry in the (x, y) plane (A-level only), covering 3.3.1 Coordinate geometry in the (x, y) plane (A-level only) and 3.3.2 Coordinate geometry in the (x, y) plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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