1.

Convert `4(cos 300^(@) + i sin 300^(@))` into Cartesian form.

Answer» `4(cos 300^(@)+isin 300^(@))=4[cos(360^(@)-60^(@))+i sin(36^(@)-60^(@))]`
`" "=4[cos(-60^(@))+i sin(-60^(@))]`
`" "=4[cos60^(@)-i sin60^(@)]4((1)/(2)-i(sqrt(3))/(2))`
`" "=(2-2i sqrt(3))`


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