Answer
$0$
Work Step by Step
We know these trigonometric values
$\tan \pi= \tan 180^{\circ} =0 $ and $\sin \pi= \sin 180^{\circ} =0 $
We evaluate the given expression to obtain: $\tan \pi +\sin \pi = \tan 180^{\circ} + \sin 180^{\circ} =0+0 $
or, $=0$