A) \[x>0,\,\,y>0,\,\,z>0\]
B) \[x>0,\,\,y<0,\,\,0<z<1\]
C) \[x>0,\,\,y<0,\,\,z>1\]
D) \[x<0,\,\,y<0,\,0<z<1\]
Correct Answer: B
Solution :
\[x=\sin {{130}^{o}}\cos {{80}^{o}},\] \[y=\sin {{80}^{o}}\cos {{130}^{o}}\] Þ \[x=\cos {{40}^{o}}\cos {{80}^{o}},\,\,\,y=-\sin {{80}^{o}}\sin {{40}^{o}}\] So, \[x>0\] and \[y<0and\]\[xy<0\] Now\[z=1+xy\] Þ \[0<z<1\].You need to login to perform this action.
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