Answer
$1$
Work Step by Step
$\csc{(\theta+ 360^{\circ} k)} = \csc{\theta}$
$\therefore \csc{450^{\circ}} = \csc{(90^{\circ}+360^{\circ})} = \csc{90^{\circ}}$
$\csc{90^{\circ}} = \dfrac{1}{\sin{90^{\circ}}}=\dfrac{1}{1}=\boxed{1}$
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