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

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Question 23

A curve S S\,S has parametric equations

x=1+2sin⁡t,y=5−cos⁡2t0≤t≤2π x = 1 + 2 \sin t, \quad y = 5 - \cos^2 t \quad 0 \leq t \leq 2\pi x=1+2sint,y=5−cos2t0≤t≤2π
a.

Find an equation for S S\,S 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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