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Math Help - inverse trigonometric functions

  1. #1
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    inverse trigonometric functions

    Just need a little help starting out these problems

    Solve each equation in the interval indicated:

    1.) tanx-2cosxtanx=0 ; [0, 360)
    2.) 2sinx+1=cscx ; [0, 360)
    3.) sin2x=-sinx ; [0, 360)
    4.) sin2x=-1/2 ; [0, 360)

    i appreciate the help
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  2. #2
    Super Member bigwave's Avatar
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    Post 1.) tanx-2cosxtanx=0 ; [0, 360).

    solve each equation in the interval indicated:

    1.) tanx-2cosxtanx=0 ; [0, 360)

    factor out tanX

    tanX(1-2cosX) = 0

    then solve for tanX = 0

    tanX = 0 at \pi and 0

    solve for (1-2cosX) = 0

    if cosX = \frac{1}{2}
    then (1-2cosX) will go to 0

    so cosX^{-1}(\frac{1}{2}) = \frac{\pi}{3} and \frac{5\pi}{3}

    so x = \pi , 0 ,\frac{\pi}{3}, \frac{5\pi}{3},
    Last edited by bigwave; November 27th 2009 at 10:46 PM. Reason: latex
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