If \[z=\cos \frac{\pi }{6}+i\sin \frac{\pi }{6}\] then [AMU 2002]

1.	If \[z=\cos \frac{\pi }{6}+i\sin \frac{\pi }{6}\] then [AMU 2002]
A.	\[\|z\|\,=1,\,\,\,\,arg\,z=\frac{\pi }{4}\]
B.	\[\|z\|\,=1,arg\,z=\frac{\pi }{6}\]
C.	\[\|z\|\,=\frac{\sqrt{3}}{2},\,arg\,z=\frac{5\pi }{24}\]
D.	\[\|z\|\,=\frac{\sqrt{3}}{2},\,\,arg\,z={{\tan }^{-1}}\frac{1}{\sqrt{2}}\]
Answer» C. \[\|z\|\,=\frac{\sqrt{3}}{2},\,arg\,z=\frac{5\pi }{24}\]

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