MathCastle
TrigonometryChallengePolar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers · Challenge problem

Write z=2+2i3−iz=\dfrac{2+2i}{\sqrt3-i} in trigonometric form, then convert to exact a+bia+bi form (your answer gives the exact values of cos⁡75∘\cos75^\circ and sin⁡75∘\sin75^\circ).