Results 1 to 3 of 3

Thread: Homework help

  1. #1
    New Member Whitedream's Avatar
    Join Date
    Oct 2017
    HSC
    N/A
    Gender
    Female
    Posts
    3
    Rep Power
    1

    Homework help

    Can someone please help me with proving this equation?

    If tanα, tanβ and tanγ are the roots of x^3-(a+1)x^2+(c-a)x-c=0, show that α+β+γ=pi/4.

  2. #2
    617 pages fan96's Avatar
    Join Date
    May 2017
    HSC
    2018
    Gender
    Male
    Location
    NSW
    Posts
    323
    Rep Power
    1

    Re: Homework help

    One approach is to express in terms of , and by using the angle sum formula twice.

    You can show that



    Then find the sum of roots, sum of roots two at a time and product of roots and substitute in.

  3. #3
    New Member Whitedream's Avatar
    Join Date
    Oct 2017
    HSC
    N/A
    Gender
    Female
    Posts
    3
    Rep Power
    1

    Re: Homework help

    Quote Originally Posted by fan96 View Post
    One approach is to express in terms of , and by using the angle sum formula twice.

    You can show that



    Then find the sum of roots, sum of roots two at a time and product of roots and substitute in.
    Thx so much!! ^^

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •