Multiplying and Dividing Complex Numbers in Polar Form
Example 1
Multiplying Complex Numbers in Polar Form
Find the product of the complex numbers.
Solution
Check this result by first converting to the standard forms
and
and then multiplying algebraically.
Example 2
Dividing Complex Numbers in Polar Form
Find the quotient z_{1}/z_{2} of the complex numbers.
z_{1} = 24(cos 300Âº + i sin 300Âº) and z_{2} = 8(cos 75Âº + i
sin 75Âº)
Solution
