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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 229

A curve C C\,C has the parametric equations

x=5−3sin⁡tx = 5 - 3\sin tx=5−3sint, y=4+2cos⁡ty = 4 + 2\cos ty=4+2cost, where 0≤t<2π 0 \leq t < 2\pi\,0≤t<2π

Show that a Cartesian equation for C C\,C is

(x−5)29+(y−4)24=1\displaystyle \frac{(x - 5)^2}{9} + \frac{(y - 4)^2}{4} = 19(x−5)2​+4(y−4)2​=1

[3]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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