SOLUTION: -34/5-3i in polar form

Question 1124676: -34/5-3i in polar form
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The polar form of a complex number is another way to represent a complex number. The form is called the rectangular coordinate form of a complex number.
The horizontal axis is the real axis and the vertical axis is the imaginary axis. We find the real and complex components in terms of and where is the length of the vector and is the angle made with the real axis.

From Pythagorean Theorem :

By using the basic trigonometric ratios :
and
Multiplying each side by
and

The rectangular form of a complex number is given by:

Substitute the values of and

you have:

where and

to write it in polar form, first find the absolute value of

if and , we have

�
then

Now find the argument
To find argument we will use one of the following formulas:
if
� if

so you can use the formula � since you have
�
�
�
�

polar form is:

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