The argument of the complex number -1 + isqrt | vedclass

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(C) Let $z = -1 + i\sqrt{3}$.Here,the real part $x = -1$ and the imaginary part $y = \sqrt{3}$.Since $x  0$,the complex number lies in th

Vedclass · Accepted Answer

$120$

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(C) Let $z = -1 + i\sqrt{3}$.Here,the real part $x = -1$ and the imaginary part $y = \sqrt{3}$.Since $x  0$,the complex number lies in the second quadrant.The argument $	heta$ is given by $	heta = 180^\circ - 	an^{-1}\left|\frac{y}{x}ight|$.$	heta = 180^\circ - 	an^{-1}\left|\frac{\sqrt{3}}{-1}ight| = 180^\circ - 	an^{-1}(\sqrt{3}) = 180^\circ - 60^\circ = 120^\circ$.

The argument of the complex number $-1 + i\sqrt{3}$ is ............. $^\circ$.

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