What is the product theorem of complex numbers in polar form?

1 Answer
Youssuf E.
Mar 7, 2018

#zw = (r_1 *r_2)(cos(theta_1 +theta_2) + isin(theta_1 +theta_2))#

Explanation:

Alright, so the polar form of a complex number #z=a+bi# is

#z= r(cos(theta) + isin(theta))#

Suppose you have a complex number #w# which you wanted to multiply by #z#, then this will be the rule you need to use

#zw = (r_1 *r_2)(cos(theta_1 +theta_2) + isin(theta_1 +theta_2))#

Related questions
See all questions in The Product and Quotient Theorems
Impact of this question
2732 views around the world
You can reuse this answer
Creative Commons License