Answer:
[tex]\frac{1}{2}[/tex] ( cos40° + isin40°)
Step-by-step explanation:
To divide
[tex]\frac{r_{1(cosx_{1}+isinx_{1}) } }{r_{2}(cosx_{2}+isinx_{2}) }[/tex]
= [tex]\frac{r_{1} }{r_{2} }[/tex] [ cos(x₁ - x₂) + isin(x₁ - x₂)
Given
[tex]\frac{2(cos90+isin90}{4(cos50+isin50)}[/tex]
= [tex]\frac{2}{4}[/tex] ( cos(90 - 50)° + isin(90 - 50)°
= [tex]\frac{1}{2}[/tex] ( cos40° + isin40° )
