Results 1 to 7 of 7
Like Tree1Thanks
  • 1 Post By Prove It

Thread: Cuboid

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Germany
    Posts
    24

    Cuboid

    Weve got cuboid ABCDABCD.
    $\displaystyle \alpha$ = $\displaystyle \angle$ CAB
    $\displaystyle \beta$ = $\displaystyle \angle$ CAD
    $\displaystyle \gamma$ = $\displaystyle \angle$ CAA
    Prove that:
    tg $\displaystyle \alpha$ + tg $\displaystyle \beta$ +tg $\displaystyle \gamma$ ≤ $\displaystyle \frac {3}{2}$ tg $\displaystyle \alpha$ tg $\displaystyle \beta$ tg $\displaystyle \gamma$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,607
    Thanks
    1714

    Re: Cuboid

    Hey adam23.

    What does tg refer to?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2012
    From
    Germany
    Posts
    24

    Re: Cuboid

    It's tg angles $\displaystyle \alpha , \beta , \gamma $
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    11,175
    Thanks
    741
    Awards
    1

    Re: Cuboid

    Quote Originally Posted by chiro View Post
    Hey adam23.

    What does tg refer to?
    Quote Originally Posted by adam23 View Post
    It's tg angles $\displaystyle \alpha , \beta , \gamma $
    Okay. So what is a tg angle? Please give us the definition.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    12,880
    Thanks
    1946

    Re: Cuboid

    I expect it means $\displaystyle \displaystyle \begin{align*} \tan{\alpha}, \tan{\beta}, \tan{\gamma} \end{align*}$.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Oct 2012
    From
    Germany
    Posts
    24

    Re: Cuboid

    Yes, this is tan.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Oct 2012
    From
    Germany
    Posts
    24

    Re: Cuboid

    I tried to use Inequality of arithmetic and geometric means, but nothing's good. So, have you got any idea?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Diagonal of a Cuboid
    Posted in the Geometry Forum
    Replies: 9
    Last Post: Oct 17th 2011, 10:07 AM
  2. Cuboid question.
    Posted in the Geometry Forum
    Replies: 9
    Last Post: Jul 20th 2011, 01:45 AM
  3. Volume of Cuboid
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Feb 15th 2011, 07:52 AM
  4. skeleton cuboid
    Posted in the Algebra Forum
    Replies: 7
    Last Post: Jan 6th 2011, 08:10 AM
  5. Cuboid
    Posted in the Geometry Forum
    Replies: 4
    Last Post: Aug 24th 2008, 10:50 PM

Search Tags


/mathhelpforum @mathhelpforum