If \[x=\sin {{130}^{o}}\,\cos {{80}^{o}},\,\,y=\sin \,{{80}^{o}}\,\cos \,{{130}^{o}},\,\,z=1+xy,\]which one of the following is true [AMU 1999]

If \[x=\sin {{130}^{o}}\,\cos {{80}^{o}},\,\,y=\sin \,{{80}^{o}}\,\cos

1.	If \[x=\sin {{130}^{o}}\,\cos {{80}^{o}},\,\,y=\sin \,{{80}^{o}}\,\cos \,{{130}^{o}},\,\,z=1+xy,\]which one of the following is true [AMU 1999]
A.	\[x>0,\,\,y>0,\,\,z>0\]
B.	\[x>0,\,\,y<0,\,\,0<z<1\]
C.	\[x>0,\,\,y<0,\,\,z>1\]
D.	\[x<0,\,\,y<0,\,0<z<1\]
Answer» C. \[x>0,\,\,y<0,\,\,z>1\]