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4-1.Complex numbers
easy
$\frac{{1 + \sqrt 3 i}}{{\sqrt 3 + 1}}$ નો કોણાંક મેળવો.
A
$\frac{\pi }{3}$
B
$ - \frac{\pi }{3}$
C
$\frac{\pi }{6}$
D
$ - \frac{\pi }{6}$
Solution
(a)Let $z = \frac{{1 + i\sqrt 3 }}{{1 + \sqrt 3 }}\,\,\,\therefore amp(z)\,\,{\rm{or}}\,\,arg(z)$
$ = {\tan ^{ – 1}}\left[ {\frac{{\sqrt 3 /(1 + \sqrt 3 )}}{{1/(1 + \sqrt 3 )}}} \right] = {\tan ^{ – 1}}\sqrt 3 = \frac{\pi }{3}$
Standard 11
Mathematics
