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

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Question 42

A curve C C\,C has parametric equations

x=3+2cos⁡t,y=2+4cos⁡2t0≤t≤2π x = 3 + 2 \cos t, \quad y = 2 + 4 \cos 2t \quad 0 \leq t \leq 2\pi x=3+2cost,y=2+4cos2t0≤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.

[5]
b.

Sketch the curve

[3]

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

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