Answer
See the steps.
Work Step by Step
$RHS =\dfrac{\csc{\theta}-\cot{\theta}}{2 \csc{\theta}}= \dfrac{1-\dfrac{\cot{\theta}}{\csc{\theta}}}{2}$
$RHS = \dfrac{1-\cos{\theta}}{2} = \sin^2{\dfrac{\theta}{2}} = LHS$
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