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The equation z^3=w has a root 3(cos30°+i sin 30°), find w.
The answer is given as 27i. I cannot get that.
W = z3, since one root z1 is 3(cos30+isin30)
w is z13 = (3(cos30+isin30))3 = 33(cos(30*3)+isin(30*3)) (arguments are in degrees)
w= 27(cos(90)+isin(90)) = 27i