Results 1 to 3 of 3

Math Help - Complex numbers

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    New York
    Posts
    55

    Complex numbers

    How can I change polar coordinates z=7(cos(5pi/3)+isin(5pi/3)) into binomial form?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,698
    Thanks
    620

    Re: Complex numbers

    Hey franios.

    What do you mean by binomial form? Is this something like (a+b)^n? What you can do is use z = re^(it) where t = 5pi/3 and then you can use the fact that e^(i5pi/3) = (e^(ipi/3))^5 which means (cos(pi/3) + isin(pi/3))^5 = (cos(5pi/3) + isin(5pi/3)).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,592
    Thanks
    1445

    Re: Complex numbers

    Quote Originally Posted by franios View Post
    How can I change polar coordinates z=7(cos(5pi/3)+isin(5pi/3)) into binomial form?
    It is almost in Binomial form as it is, just multiply through by 7 and evaluate the given trigonometric functions...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. raising complex numbers to complex exponents?
    Posted in the Advanced Math Topics Forum
    Replies: 10
    Last Post: March 25th 2011, 10:02 PM
  2. Replies: 1
    Last Post: September 27th 2010, 03:14 PM
  3. Imaginary numbers/complex numbers
    Posted in the Algebra Forum
    Replies: 7
    Last Post: August 25th 2009, 11:22 AM
  4. Replies: 2
    Last Post: February 7th 2009, 06:12 PM
  5. Replies: 1
    Last Post: May 24th 2007, 03:49 AM

Search Tags


/mathhelpforum @mathhelpforum