For each of the following a Plot the point b Determine r and

For each of the following a. Plot the point. b. Determine r and theta. 1. Z_1 = 3 + 3i 2. z2 = 3 -3i 3. z_3 = 3i 4. z_4 = -4 5. z_5 = -3 Squareroot 3 + 3i 6. z_f = 2 Squareroot 3 -2i

Solution

1. z=3 +3i

r=sqrt(9+9)=3sqrt2

theta=tan^-1(y/x) =tan^-1(3/3) =pi/4

2.z=3-3i

r=sqrt(9+9) =3sqrt2

theta=tan^-1(-1) = 7pi/4