please help,it's important.-need help quick.

Question

4)  Express each complex number in polar form.

  (a)  4 + 3i                 (b)  -5 – 2i

 

5)  Express 5 cis 320⁰ in rectangular form.

Answer 1

Step 1 :

4a)

The complex number is .

The polar form of a complex number is

Where    or  and .

Compare the above complex numbers, .

The absolute value .

Substitute in .

The absolute value of is .

Step 2:

The argument is

Substitute and in .

The polar form of a complex number is

Substitute and in .

The polar form of a complex number is

Solution :

4a)

The polar form of a complex number is

Answer 2

Step 1:

5)

The polar form of a complex number is .

Rewrite the above complex number is

 

The rectangular form of a complex number is

Solution :

5)

The rectangular form of a complex number is

Answer 3

1)

Step 1:

The points are ,, , , .

Polar coordinates

distance from the origin.

is the counter-clock wise angle.

The point

The point

.

Step 2:

Graph:

Draw the polar plane.

Plot the points ,, and , .

Solution:

.