<p>Sketch the graph of the following pairs of parametric equations.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">\(x = e^t + 1, y = t + 1\), where&nbsp;\(t &gt; 1\)</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(x = \cos^3 t, y = \sin^3 t\), where&nbsp;\(0 &lt; t \leq \pi\)</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(x = 2\theta + \sin(2\theta), y = 3\sin\theta\), where&nbsp;\(-\frac{\pi}{2} \leq \theta &lt; \frac{\pi}{2}\)</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(x = 2 + 2\cos u, y = \tan u\), for&nbsp;\(0 \leq u &lt; \frac{\pi}{2}\)</span><span class="inline-marks">[2]</span></div></li></ol>

Sketch the graph of the following pairs of parametric equations.

\(x = e^t + 1, y = t + 1\), where \(t > 1\)

\(x = \cos^3 t, y = \sin^3 t\), where \(0 < t \leq \pi\)

\(x = 2\theta + \sin(2\theta), y = 3\sin\theta\), where \(-\frac{\pi}{2} \leq \theta < \frac{\pi}{2}\)

\(x = 2 + 2\cos u, y = \tan u\), for \(0 \leq u < \frac{\pi}{2}\)

Graphing Techniques - Sketching Parametric Curves

Graphing Techniques - Sketching Parametric Curves

Video Solution:

Solution:

Solution locked