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Math Help - Solve trig equation

  1. #1
    Junior Member
    Joined
    Nov 2007
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    57

    Solve trig equation

    could anyone please show how to solve this step by step.
    All help is appreciated!

    solve the equation for 0< x< 2 pi .

    sin^2 X = 3 cos^2 X


    thanks!!
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  2. #2
    MHF Contributor
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    I'd make a substitution and see what dropped out.

    \cos^{2}(x)\;=\;1\;-\;\sin^{2}(x)
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  3. #3
    Newbie
    Joined
    May 2007
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    sin ^2 x - 3cos^2 x = 0
    1-cos ^2 x - 3cos ^2x= 0
    4 cos ^2 x -1 = 0
    cos ^2 x = 1/4
    cos x = 1/2

    using special angles you find that its 60 and 300 degrees.
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