SOLUTION: Did I write the complex number for 100(cos240° + i sin240°) in standard form correctly? Answer: 100(cos(240°) + i sin(240°)).

Algebra ->  Test -> SOLUTION: Did I write the complex number for 100(cos240° + i sin240°) in standard form correctly? Answer: 100(cos(240°) + i sin(240°)).      Log On


   

Question 1076190: Did I write the complex number for 100(cos240° + i sin240°) in standard form correctly? Answer: 100(cos(240°) + i sin(240°)).
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
What you wrote, is the trigonometric form of a complex number, or polar form.


The standard form is a + bi.


For it, write cos(240°) = -1%2F2 and sin(240°) = -sqrt%283%29%2F2.


Then the standard form is 100%2A%28%28-1%2F2%29+%2B+%28-sqrt%283%29%2F2%29%2Ai%29%29 = -50+-+50%2Asqrt%283%29%2Ai.


There is a bunch of my lessons on complex numbers
    - Complex numbers and arithmetical 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
    - Solution of the quadratic equation with real coefficients on complex domain

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
    - Solved problem on taking square root of complex number
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".