SOLUTION: If 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

SOLUTION: If 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(cos2

Question 1072703: If 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)
Thank you
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
The product of 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".

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