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

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Question 18

A curve G G\,G has parametric equations

x=3cos⁡t,y=2−4sin⁡2t0≤t≤2π x = 3 \cos t, \quad y = 2 - 4 \sin^2 t \quad 0 \leq t \leq 2\pi x=3cost,y=2−4sin2t0≤t≤2π
a.

Find an equation for G G\,G 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]

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

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