Answer
$1$
Work Step by Step
We know that $\sin^2 x+\cos^2 x=1$
$\csc^2 \beta (1-\csc^2 \beta)=\csc^2 \beta \sin^2 \beta$
or, $=(\dfrac{1}{\sin^2 \beta}) \times \sin^2 \beta$
or, $\csc^2 \beta (1-\csc^2 \beta)=1$
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