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# Write the complex number ## 8(cos 30 +i sin 30)## in standard form?

You know that (I suppose they are in degrees):

##cos30°=sqrt(3)/2## ##sin30°=1/2##

So: ##z=8(cos30°+isin30°)=8(sqrt(3)/2)+i8(1/2)=## ##=4sqrt(3)+4i##

in the form: ##a+ib##