MathCastle
TrigonometryMediumPolar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers · Medium problem

Multiply and give the answer in exact a+bia+bi form:

[2(cos⁡135∘+isin⁡135∘)][2(cos⁡15∘+isin⁡15∘)].\left[\sqrt2\left(\cos 135^\circ + i\sin 135^\circ\right)\right]\left[\sqrt2\left(\cos 15^\circ + i\sin 15^\circ\right)\right].