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The function $y=\tan x-x $ is

\[\](1)an increasing function in $( 0 ,\frac{\pi}{2})$\[\](2)an decreasing function in $(0 ,\frac{\pi}{2})$\[\](3)increasing  in $(0 ,\frac{\pi}{4})$decreasing  in $(\frac{\pi}{4} ,\frac{\pi}{2})$\[\](4)decreasing  in $(0 ,\frac{\pi}{4})$ increasing in $(\frac{\pi}{4} ,\frac{\pi}{2}$)

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