Results 1 to 2 of 2

Math Help - Solving Trig. Equations

  1. #1
    Junior Member
    Joined
    Mar 2010
    Posts
    56

    Exclamation Solving Trig. Equations

    A) Determine approximate solutions for this equation in the interval x E [0,2pi] to the nearest hundredth of a radian

    cos x - 1/4 = 0


    B) Determine an exact solution for this equation in the interval x E [0,2pi]

    cos²x - 3/4 = 0



    Please help w/steps.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor harish21's Avatar
    Joined
    Feb 2010
    From
    Dirty South
    Posts
    1,036
    Thanks
    10
    Quote Originally Posted by advancedfunctions2010 View Post
    A) Determine approximate solutions for this equation in the interval x E [0,2pi] to the nearest hundredth of a radian

    cos x - 1/4 = 0


    B) Determine an exact solution for this equation in the interval x E [0,2pi]

    cos²x - 3/4 = 0



    Please help w/steps.
    cosx - \frac{1}{4} \implies cosx = \frac{1}{4} \implies x = cos^{-1}\frac{1}{4}

    cos^{2}x -\frac{3}{4} \implies cos^{2}x = \frac{3}{4} \implies cosx = \pm \frac{\sqrt{3}}{2} \implies x = cos^{-1}\left({\pm \frac{\sqrt{3}}{2}}\right)

    Now find out the corresponding angle x within the given interval
    Last edited by harish21; May 3rd 2010 at 11:02 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving Trig Equations
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: March 20th 2011, 06:46 PM
  2. Solving trig equations
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: March 4th 2010, 02:23 PM
  3. solving trig equations
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 18th 2010, 06:18 AM
  4. Please help with solving trig equations!
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 15th 2008, 01:36 PM
  5. solving trig equations
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 14th 2007, 02:29 PM

Search Tags


/mathhelpforum @mathhelpforum