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If\[ x + iy = (1 - i \sqrt{3})^{100}\] then (x,y) is?
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\[ x + iy = (1 - i \sqrt{3})^{100}\]
FInd X and Y
\[x + iy = \frac{2^{100}}{2^{100}}(1 - i \sqrt{3})^{100}=2^{100}(\frac{1}{2} - i \frac{\sqrt{3}}{2})^{100}\]
ok?
yes
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\[\frac{1}{2} - i \frac{\sqrt{3}}{2}=e^{-i\frac{\pi}{3}}\]
yes..))
well u continue
Any Hint:
\[(e^{i\theta})^n=e^{in\theta}\]
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lol.....that...doesnt help... 2^100 ( cos6000 - i sin6000)
lol....))
cos6000= -1/2
i got...it thxxx...)))
\[\boldsymbol{MUKHSALA THXXX} \]
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\[(e^{-i\frac{\pi}{3}})^{100}=e^{-i\frac{100\pi}{3}}= \cos \frac{100 \pi}{3}+i \sin \frac{100 \pi}{3}\]
\[\huge \color\yellow{LoL}\]
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