Results 1 to 6 of 6

Thread: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

  1. Nov 13th 2012, 03:19 PM #1
    hunnyelle
    hunnyelle is offline
    Newbie
    Joined
    Sep 2012
    From
    United States
    Posts
    12

    Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    I need help simplifying this trig expression. I started by trying to find a common denom. btwn the two fractions
    Follow Math Help Forum on Facebook and Google+
  2. Nov 13th 2012, 03:24 PM #2
    skeeter
    skeeter is offline
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    15,948
    Thanks
    3572

    Re: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    Quote Originally Posted by hunnyelle View Post
    Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(secx-tanx)]

    I need help simplifying this trig expression. I started by trying to find a common denom. btwn the two fractions
    note that your common denominator, \sec^2{x} - \tan^2{x} equals 1


    btw ... do not double post.
    Last edited by skeeter; Nov 13th 2012 at 03:30 PM.
    Follow Math Help Forum on Facebook and Google+
  3. Nov 13th 2012, 03:31 PM #3
    hunnyelle
    hunnyelle is offline
    Newbie
    Joined
    Sep 2012
    From
    United States
    Posts
    12

    Re: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    @skeeter: Yes , but then I'm left w/ (cosxcotx(secx-tanx) + sinx(sexc + tanx). I tried putting all of tht in terms of sin & cos & eventually reached the point [(cos^2x(cosx-sinx)+ sin^2x(1+sinx)]/(sinxcosx)]
    Follow Math Help Forum on Facebook and Google+
  4. Nov 13th 2012, 03:52 PM #4
    MarkFL
    MarkFL is offline
    MHF Contributor MarkFL's Avatar
    Joined
    Dec 2011
    From
    St. Augustine, FL.
    Posts
    2,005
    Thanks
    745

    Re: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    Yes, when you double post, and your duplicate post gets deleted, then the help in the duplicate gets deleted as well, wasting time and effort of those trying to help.
    Follow Math Help Forum on Facebook and Google+
  5. Nov 13th 2012, 03:52 PM #5
    skeeter
    skeeter is offline
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    15,948
    Thanks
    3572

    Re: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    \cos{x}\cot{x}(\sec{x}-\tan{x}) + \sin{x}(\sec{x}+\tan{x})

    \cos{x}\cot{x}\sec{x} - \cos{x}\cot{x}\tan{x} + \sin{x}\sec{x} + \sin{x}\tan{x}

    \cot{x} - \cos{x} + \tan{x} + \sin{x}\tan{x}

    \cot{x}(1 - \sin{x}) + \tan{x}(1 + \sin{x})

    I don't think changing every term to sines and cosines will do much good from this point ... do you know what it is supposed to simplify to?
    Follow Math Help Forum on Facebook and Google+
  6. Nov 13th 2012, 04:06 PM #6
    hunnyelle
    hunnyelle is offline
    Newbie
    Joined
    Sep 2012
    From
    United States
    Posts
    12

    Re: Simplify [(cosxcotx)/(secx+tanx)] + (sinx)/(sex-tanx)]

    The answer is cotx -cosx + tanx +sinxtanx, & I've figured out how to reach that answer!
    Follow Math Help Forum on Facebook and Google+
« System of Equations with Sinc | Rewrite as an expression w/o fractions: (cscx)/(1-sinx) »

Similar Math Help Forum Discussions

  1. Establish the Identity ((1+cosx+sinx)/(1+cosx-sinx)) = secx + tanx
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: Apr 30th 2012, 08:55 AM
  2. Prove:(tanx/(1+tanx)) = (sinx/(sinx+cosx))
    Posted in the Trigonometry Forum
    Replies: 7
    Last Post: Feb 2nd 2011, 08:46 PM
  3. Integrating (sinx + secx)/tanx dx
    Posted in the Calculus Forum
    Replies: 7
    Last Post: Mar 4th 2008, 08:30 AM
  4. Integral of (tanx)^71 * (secx)^4
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Oct 2nd 2007, 03:05 PM

Search tags for this page

Search Tags


/mathhelpforum @mathhelpforum