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Math Help - Trig equations

  1. #1
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    Trig equations

    I need some help solving these trig equations. Thanks for help on any
    tan^2(x) + sec(x)= 1
    Tan(x) cos(x)=1/2
    Sqr root(2sin^3(x) = sin^2(x)
    Sqr root(2cos^2(x) = cos^2(x)
    On the two problems with the sqr root. On the sheet it only has the line over the 2 so i dont know if its across the entire thing
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  2. #2
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    Re: Trig equations

    In the first one, it helps to remember that \displaystyle \tan^2{(x)} + 1 \equiv \sec^2{(x)}.

    The second is very easy if you remember that \displaystyle \tan{(x)} \equiv \frac{\sin{(x)}}{\cos{(x)}}.

    In the other two, assuming that it's only the 2 being taken the square roots of, make each equation equal 0, factorise, set each factor equal to 0, then solve.
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