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Math Help - find all solutions in the interval of [0, and 2pi)

  1. #1
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    find all solutions in the interval of [0, and 2pi)

    A.) 3sec^2(x/2)-4sec(x/2)-4=0

    B.) tan^2x = (-3/2)-secx
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  2. #2
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    Quote Originally Posted by jumpman23 View Post
    A.) 3sec^2(x/2)-4sec(x/2)-4=0

    B.) tan^2x = (-3/2)-secx
    One problem per thread please.

    For A, use a nice little trick by making the substitution u=\sec{\left(\frac{x}{2}\right)}. Notice now that you have a quadratic equation for u. So solve it then back substitute and solve.
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