Question

$if \: \cot \: theta \: = \frac{x}{y}$
$prove \: that \:$
$\frac{x \: \cos \: theta - y \: \sin theta}{x \: \cos \: theta + y \sin \: theta } = \frac{ {x}^{2} - {y}^{2} }{ {x}^{2} + {y}^{2} }$
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