A) \[\frac{\pi }{3}\]
B) \[-\frac{\pi }{3}\]
C) \[\frac{\pi }{6}\]
D) \[-\frac{\pi }{6}\]
Correct Answer: A
Solution :
Let \[z=\frac{1+i\sqrt{3}}{1+\sqrt{3}}\,\,\,\therefore amp(z)\,\,\text{or}\,\,arg(z)\] \[={{\tan }^{-1}}\left[ \frac{\sqrt{3}/(1+\sqrt{3})}{1/(1+\sqrt{3})} \right]={{\tan }^{-1}}\sqrt{3}=\frac{\pi }{3}\]
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