Results 1 to 4 of 4

Math Help - Conditional Trigonomettric Equations help need

  1. #1
    nee
    nee is offline
    Junior Member
    Joined
    Aug 2008
    Posts
    36

    Conditional Trigonomettric Equations help need

    Solve the equation for exact solutions over the interval 0,2π

    (cscx + 2)(cscx - squareroot2) = 0
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,909
    Thanks
    771
    Hello, nee!

    The problem is 90% solved for you already.
    Exactly where is your difficulty?


    Solve the equation for exact solutions over the interval [0,2\pi]

    (\csc x + 2)(\csc x - \sqrt{2}) \:= \:0
    It's already factored!

    Set each factor equal to zero and solve . . .

    \csc x + 2 \:=\:0 \quad\Rightarrow\quad \csc x \:=\:-2\quad\Rightarrow\quad x \:=\:\frac{7\pi}{6},\;\frac{11\pi}{6}

    \csc x - \sqrt{2}\:=\:0 \quad\Rightarrow\quad \csc x \:=\:\sqrt{2}\quad\Rightarrow\quad x \:=\:\frac{\pi}{4},\;\frac{3\pi}{4}

    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,115
    Thanks
    992
    set each factor equal to zero. solutions are right off the unit circle, which you have memorized, right?

    \csc{x} = -2

    \sin{x} = -\frac{1}{2}

    x = \frac{7\pi}{6} , x = \frac{11\pi}{6}



    \csc{x} = \sqrt{2}

    \sin{x} = \frac{1}{\sqrt{2}}

    x = \frac{\pi}{4} , x = \frac{3\pi}{4}

    Soroban getting too fast in my old age.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    nee
    nee is offline
    Junior Member
    Joined
    Aug 2008
    Posts
    36
    Ok took me a few but I think I got it. Thanks for your help! NEE!!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: July 22nd 2011, 02:39 AM
  2. Replies: 3
    Last Post: February 27th 2009, 08:05 PM
  3. Conditional Trigonometric Equations, Helpo!!
    Posted in the Trigonometry Forum
    Replies: 12
    Last Post: August 24th 2008, 01:12 PM
  4. Conditional Trigonometric Equations
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: February 12th 2008, 08:08 PM
  5. Conditional Trigonometric Equations
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 27th 2006, 10:57 AM

Search Tags


/mathhelpforum @mathhelpforum