- #1

Rubik

- 97

- 0

## Homework Statement

Sketch:

{z: [itex]\pi[/itex]?4 < Arg z ≤ [itex]\pi[/itex]}

## Homework Equations

## The Attempt at a Solution

Is it right to assume

z

_{0}= 0 ; a = a (radius = a) ; and taking [itex]\alpha[/itex] = [itex]\pi[/itex]/4 ; [itex]\beta[/itex] = [itex]\pi[/itex]

And now in order to sketch the problem after setting up the complex plane is it correct to to plot z

_{0}at the origin and then from the origin plot [itex]\pi[/itex]/4 by rotating to the right in a clockwise rotation for [itex]\pi[/itex]/4 radians for the first condition and then rotating [itex]\pi[/itex] to the left from the origin (anti-clockwise rotation) for the second condition and then using a solid or dashed line according to the strictly < or ≤ conditions and this gives me the correct region?

Basically I am confused as to how to rotate the angle in terms of clockwise or anti-clockwise according to the conditions given.