Answer
$\cos x-\sin y+2z$
Work Step by Step
div $\textbf{F}=\nabla\cdot \textbf{F}=\nabla\cdot\langle \sin x,\cos y, z^{2}\rangle$
$=\frac{\partial}{\partial x}(\sin x)+\frac{\partial}{\partial y}(\cos y)+\frac{\partial}{\partial z}(z^{2})$
$=\cos x+(-\sin y)+2z$
$=\cos x-\sin y+2z$