MathCastle
TrigonometryHardPolar Coordinates and Complex Numbers

Polar Coordinates and Complex Numbers · Hard problem

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

[6(cos⁡200∘+isin⁡200∘)][6(cos⁡115∘+isin⁡115∘)].\left[\sqrt6\left(\cos 200^\circ + i\sin 200^\circ\right)\right]\left[\sqrt6\left(\cos 115^\circ + i\sin 115^\circ\right)\right].