NYJC Graphing Techniques Tutorial Q8
Sketch the curves given parametrically by the following equations and find the Cartesian equations of these curves:
(a)
$x=1-t$, $y=2{{t}^{2}}$, where $t<1$
(b)
$x=\sin \theta +1$, $y=\frac{1}{2}\cos \theta $, where $-\frac{\pi }{2}\le \theta <0$
(c)
$x=\tan t$, $y=\sin t$, $0<t<\frac{\pi }{2}$
(d)
$x=\frac{1}{2}\left( {{\text{e}}^{3t}}+2{{\text{e}}^{-3t}} \right)$, $y=\frac{1}{2}\left( {{\text{e}}^{3t}}-2{{\text{e}}^{-3t}} \right)$
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