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Math Help - trigonometric equations

  1. #1
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    trigonometric equations

    So I need help with two different types of equations the first is:

    Sec^2(x)-2tan^2(x)=2/3

    And I need to find all solutions in the interval [0,2pi)
    If you can show me how to start solving this equation would be awesome

    The second equation is:

    Tan(x)=-srt3/3

    I understand cos and sin but not really tan I need to find all solutions and write the equation as
    X=?+pik, where k is any integer

    Thanks in advance guys!!
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  2. #2
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    Re: trigonometric equations

    Quote Originally Posted by DjNito View Post
    So I need help with two different types of equations the first is:

    Sec^2(x)-2tan^2(x)=2/3

    And I need to find all solutions in the interval [0,2pi)
    If you can show me how to start solving this equation would be awesome
    Consider this \displaystyle \sec ^2x = 1+ \tan ^2x
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