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

May 1, 2017

$1 , 4648814385920352498294698809161$
$+ i \cdot 0 , 3226799821317232864454186236121$

#### Explanation:

$3 \cdot 0.5 \cdot \left(\cos 6.5 + i \sin 6.5\right) = x + i y$
$x = 1.5 \cos 6.5$
$y = 1.5 \sin 6.5$