Question

Write the complex number in the form a + bi. (2 points)

8(cos 30° + i sin 30°)

Answer 1

First thing we need to do is simplify as much as possible!
Let's solve inside the parentheses:

`cos(30) + i sin(30)`

What's cos(30) and sin(30)?

Answer 2

Personally, I don't think that is exactly what the question is looking for...and Im posting on a necro, but the answer provided really bothers me... whatever yolo

theta=& (cause Im too lazy to type theta)
e^i&=cos(&)+isin(&)

If Im not mistaken you need to use this.
you'll end up with 8*e^i*(pi/6)

8*e^i*(pi/6)

&=arg z (arg is the argument)
r=8=|z|=sqrt(x^2+y^2).

What you need to do is convert cos(&)+isin(&) into z=x+iy

Answer 3

https://en.wikipedia.org/wiki/Euler%27s_formula

Answer 4

Its all about Euler's formula

Answer 5

If im not mistaken this is a calculus class. perhaps AP or IB