Question

Perform the division and leave the result in trigonometric form.

Answer 1

Answer:

$\frac{1}{2}$ ( cos40° + isin40°)

Step-by-step explanation:

To divide

$\frac{r_{1(cosx_{1}+isinx_{1}) } }{r_{2}(cosx_{2}+isinx_{2}) }$

= $\frac{r_{1} }{r_{2} }$ [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

$\frac{2(cos90+isin90}{4(cos50+isin50)}$

= $\frac{2}{4}$ ( cos(90 - 50)° + isin(90 - 50)°

= $\frac{1}{2}$ ( cos40° + isin40° )