Convert z1 and z2 into polar form

Question

Let z1=-radical 2+radical 2i

let z2=3radical 3+3i

Now use polar form above to compute the quotient z1/z2. Write equation in a+bi form, rounding values of a and b to 2 decimal points

Answer 1

Step 1:

The rectangular equations are .

Conversion from rectangular to polar equation: .

Find polar form.

Consider .

Substitute in the polar equation.

Consider .

Substitute in the polar equation.

The polar form

Step 2:

Find the .

Substitute in the .

Compute the quotient value is .

Conversion from polar to rectangular equation:.

The rectangular form is

Solution:

The value of in the form of  is