Converting the equation of a polar curve to Cartesian form

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In this video I now show you how to convert the following equations of polar curves into Cartesian curves.

The examples used are:

Convert the following:

$r = 4$
${r^2} = \cos 2\theta \hphantom{a}\text{ for } \hphantom{a} 0 < \theta < \dfrac{\pi }{4}$
$r = 3 - \sin 2\theta$

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