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 z₁/z₂ of the complex numbers.

z₁ = 24(cos 300º + i sin 300º) and z₂ = 8(cos 75º + i sin 75º)

Solution