\[2\,{{\sin }^{2}}\beta +4\,\,\cos \,(\alpha +\beta )\,\,\sin \,\alpha \,\sin \,\beta +\cos \,2\,(\alpha +\beta )=\] [MNR 1993; IIT 1977]

\[2\,{{\sin }^{2}}\beta +4\,\,\cos \,(\alpha +\beta )\,\,\sin \,\alpha

1.	\[2\,{{\sin }^{2}}\beta +4\,\,\cos \,(\alpha +\beta )\,\,\sin \,\alpha \,\sin \,\beta +\cos \,2\,(\alpha +\beta )=\] [MNR 1993; IIT 1977]
A.	\[\sin \,\,2\alpha \]
B.	\[\cos \,\,2\beta \]
C.	\[\cos \,\,2\alpha \]
D.	\[\sin \,\,2\beta \]
Answer» D. \[\sin \,\,2\beta \]