nth Root of Complex Number...3

[nycmathguy]

Section 6.6

 

[MathLover1]

 

[nycmathguy]

View attachment 2117
View attachment 2118

How did you get theta = pi/3?

I got theta wrong for most of these problems.
Is there a set of rules to find theta?

 

[MathLover1]

convert

to polar form and you will get

 

[nycmathguy]

convert View attachment 2123 to polar form and you will get

View attachment 2122

I gotta try a few more on my own time but not without moving on to Chapter 7. The next chapter deals with systems of equations. We get away from trigonometry for a while.

 

[MathLover1]

you made mistake at very beginning

and
r = 4, θ = π/6

 

[nycmathguy]

you made mistake at very beginning

and
r = 4, θ = π/6

How is theta pi/6?