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TrigonometryHardPolar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers · Hard problem

The complex number zz has ∣z∣=2|z| = 2 and argument 50∘50^\circ. Write z4(z‾)2\dfrac{z^4}{\left(\overline{z}\right)^2} in the form a+bia + bi.