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Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/...

Find `z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6` .

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`z=|z| ( cos theta + i sin theta)`
`=4(cos (5pi)/6+i sin (5 pi)/6)`
`=4(- (sqrt3)/2+i/2)`
`=-2 sqrt3 + 2i`
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