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