SOLUTION: Please help me with this. Given, z₁=6(cos150°+isin150°), z₂=4(cos60°+isin60°) The value of z₁*z₂ would be either A.) 6(cos210 + i sin210) B.) 4(cos210 -

Algebra ->  Test -> SOLUTION: Please help me with this. Given, z₁=6(cos150°+isin150°), z₂=4(cos60°+isin60°) The value of z₁*z₂ would be either A.) 6(cos210 + i sin210) B.) 4(cos210 -      Log On


   

Question 1072772: Please help me with this.
Given, z₁=6(cos150°+isin150°), z₂=4(cos60°+isin60°)
The value of z₁*z₂ would be either
A.) 6(cos210 + i sin210)
B.) 4(cos210 - i sin210)
C.) 24(cos210 + i sin210)
D.) 24(cos210 - i sin210)
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
The product of the modulus and the sum of arguments.

Option C).


On complex numbers, see the lessons
    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
OK, now you know.
Whenever you have to do a problem like this, the answer is C.