Calculate this limit:
$\displaystyle \mathop {\lim }\limits_{x \to \frac{\pi }{2}} \left( {\tan x} \right)^{\sin x} $
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Calculate this limit:
$\displaystyle \mathop {\lim }\limits_{x \to \frac{\pi }{2}} \left( {\tan x} \right)^{\sin x} $