Question

How do you simplify `3(cos4+isin4)*0.5(cos2.5+isin2.5)` and express the result in rectangular form?

Answer 1

`1,4648814385920352498294698809161`
`+ i * 0,3226799821317232864454186236121`

Explanation:

multiply the radiuses ; add the angles

`3 * 0.5 * (cos 6.5 + i sin 6.5) = x + iy`

`x = 1.5 cos 6.5`

`y = 1.5 sin 6.5`