Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By Melody2

Math Help - prove TI's

  1. #1
    Junior Member
    Joined
    Mar 2013
    From
    Australia
    Posts
    63

    prove TI's

    Hi, I'm having trouble proving these trigonometric ratios

    (sin^2O+4sinO+3)/(cos^2O)=(3+sinO)/(1-sinO)

    where O=theta
    Last edited by calmo11; March 23rd 2014 at 02:48 AM. Reason: apologies, there was a mistake in my first entry
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,576
    Thanks
    1011
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2013
    From
    Australia
    Posts
    202
    Thanks
    43

    Re: prove TI's

    Quote Originally Posted by calmo11 View Post
    Hi, I'm having trouble proving these trigonometric ratios

    (sin^2O+4sinO+3)/(cos^2O)=(3+sinO)/(1-sinO)

    where O=theta
    Prove

    \frac{sin^2\theta+4sin\theta+3}{cos^2\theta}=\frac  {3+sin\theta}{1-sin\theta}

    LHS = \frac{(sin\theta+3)(sin\theta+1)}{1-sin^2\theta}

    LHS = \frac{(sin\theta+3)(sin\theta+1)}{(1-sin\theta)(1+sin\theta)}

    LHS = \frac{sin\theta+3}{1-sin\theta}

    LHS = \frac{3+sin\theta}{1-sin\theta}

    LHS = RHS

    QED
    Thanks from calmo11
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: October 9th 2013, 07:23 PM
  2. can anybody prove the g'(x) = g (x)? please
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: February 6th 2011, 03:59 AM
  3. If A^2 = -I then prove...
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 3rd 2011, 11:35 PM
  4. Prove
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 22nd 2010, 04:16 AM
  5. Replies: 2
    Last Post: August 28th 2009, 02:59 AM

Search Tags


/mathhelpforum @mathhelpforum