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1 Pure Mathematics

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Question 681

A curve C C\,C has the parametric equations

x=4sec⁡tx = 4\sec tx=4sect, y=7tan⁡ty = 7\tan ty=7tant, where 0≤t<π2\displaystyle 0 \leq t < \frac{\pi}{2}0≤t<2π​

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

49x2−16y2=78449x^2 - 16y^2 = 78449x2−16y2=784

[3]
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