<p>On separate diagrams, sketch the curves with the following pairs of parametric equations.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$x=2t-1,\quad y={{t}^{2}}+2,\quad t\in \mathbb{R}$.</span></div></li><li><div class="list-item-content"><span class="list-item-text">$x=\sqrt{1-{{t}^{2}}},\quad y={{\sin }^{-1}}t,\quad -1\le t\le 1$.</span></div></li><li><div class="list-item-content"><span class="list-item-text">$x=\cos 2t,\quad y=\tan t,\quad -\frac{\pi }{2} < t < \frac{\pi }{2}$.</span></div></li></ol>

On separate diagrams, sketch the curves with the following pairs of parametric equations.

$x=2t-1,\quad y={{t}^{2}}+2,\quad t\in \mathbb{R}$.

$x=\sqrt{1-{{t}^{2}}},\quad y={{\sin }^{-1}}t,\quad -1\le t\le 1$.

$x=\cos 2t,\quad y=\tan t,\quad -\frac{\pi }{2} < t < \frac{\pi }{2}$.

Sketching Parametric Curves

Graphing Techniques

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

NJC Curve Sketching Tutorial Q3

NJC Curve Sketching Tutorial Q3

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