Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

FOR ANY TWO COMPLEX NUMBERS m AND n PROVE THAT arg( mn ) = arg(m)+arg(n)

FOR ANY TWO COMPLEX NUMBERS  m AND n PROVE THAT          arg( mn ) = arg(m)+arg(n) 

Grade:11

1 Answers

Gautham Pai M K
35 Points
8 years ago

Take the complex numbers as z1 and z2 .

We have z1z2=r1eiq1. r2eiq2

=r1r2ei(q1+q2)

=(r1r2)(cos(q1+q2)+isin(q1+q2))

Arg(z1z2)= q1+q2=argz1+argz2

Hence Proved.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free