The angle of intersection of the curves $y={(1+x)}^{\cos x}+\sin x\& y=\frac{1}{2}(x^2+x+2)$ at $(h,k)$ where $h,k$ are integers, is $\theta$ then $\tan \theta =$
 

Point of intersection is (0,1) now find $\frac{dy}{dx}$ and hence slope of tangents. At this point and then apply angle between two line formula.