Results 1 to 5 of 5

Math Help - Help in Solving a Trigonometric Equation

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    34

    Help in Solving a Trigonometric Equation

    Here goes the equation:
    x/tan23 - x/tan32 = 10

    Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Sep 2009
    Posts
    7
    x=(10*tan32*tan23)/(tan23-tan32)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2010
    Posts
    34
    Cheers for you swift reply. Any chance you could do a brief explanation on how you reached your answer because I am a newbie at solving such equations?

    P.S Did you make a mistake in the bracket(tan23-tan32) because I obtained a negative value for x? I thought it was supposed to be (tan32-tan23) or something?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,547
    Thanks
    1418
    Quote Originally Posted by AeroScizor View Post
    Here goes the equation:
    x/tan23 - x/tan32 = 10

    Thanks in advance
    \frac{x}{\tan{23}} - \frac{x}{\tan{32}} = 10

    \frac{x\tan{32}}{\tan{23}\tan{32}} - \frac{x\tan{23}}{\tan{23}\tan{32}} = 10

    \frac{x\tan{32} - x\tan{23}}{\tan{23}\tan{32}} = 10

    x\tan{32}-x\tan{23} = 10\tan{23}\tan{32}

    x(\tan{32}-\tan{23}) = 10\tan{23}\tan{32}

    x = \frac{10\tan{23}\tan{32}}{\tan{32} - \tan{23}}.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Feb 2010
    Posts
    34
    Thanks! That was a much more clearer explanation.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Trigonometric Equation
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: May 17th 2011, 01:20 AM
  2. Solving for x in a trigonometric equation.
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: May 11th 2011, 01:15 PM
  3. Solving a trigonometric equation.
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 26th 2010, 07:14 AM
  4. Help with solving a trigonometric equation
    Posted in the Trigonometry Forum
    Replies: 7
    Last Post: October 14th 2009, 11:36 PM
  5. Solving a trigonometric equation
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: March 6th 2009, 03:54 PM

Search Tags


/mathhelpforum @mathhelpforum