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1 Pure Mathematics

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Question 1203

The curve C C\,C has parametric equations

x=2cos⁡t−1x = 2\cos t - 1x=2cost−1, y=4sin⁡2t+3y = 4\sin^2 t + 3y=4sin2t+3, 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

1 Pure Mathematics Questions

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