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1.5.14 Convert between cartesian and parametric forms (A-level only)

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Question 37

A curve C C\,C has parametric equations

x=2cos⁡t−1,y=4sin⁡2t+30≤t≤2π x = 2 \cos t - 1, \quad y = 4 \sin^2 t + 3 \quad 0 \leq t \leq 2\pi x=2cost−1,y=4sin2t+30≤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]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

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