polar form.rectangle form.

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