Results 1 to 3 of 3

Math Help - proving an identity

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    30

    proving an identity

    can someone help me prove this identity?

    (tan^2x)-(sin^2x)=(sin^2x)(tan^2x)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by wisezeta View Post
    can someone help me prove this identity?

    (tan^2x)-(sin^2x)=(sin^2x)(tan^2x)
    Hi

    Start proving from the right hand side

    \tan^2x-\sin^2x=\frac{\sin^2x}{\cos^2x}-\sin^2x

    =\frac{\sin^2x(1-\cos^2x)}{\cos^2x}

    =\frac{\sin^2x}{\cos^2x}(\sin^2x)

     <br />
=\tan^2x\sin^2x<br />

    Proved .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member pacman's Avatar
    Joined
    Jul 2009
    Posts
    448
    (tan^2x)-(sin^2x)=(sin^2x)(tan^2x)

    an identity treated as an equation, the graph is shown below
    Attached Thumbnails Attached Thumbnails proving an identity-k.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Proving an identity
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: July 17th 2011, 01:23 PM
  2. Proving Another Identity
    Posted in the Trigonometry Forum
    Replies: 7
    Last Post: June 6th 2011, 11:34 AM
  3. Help proving an identity
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 22nd 2010, 12:57 PM
  4. Proving an identity that's proving to be complex
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: July 21st 2009, 02:30 PM
  5. proving an identity
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: March 16th 2008, 11:03 AM

Search Tags


/mathhelpforum @mathhelpforum