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    nebozvjezdano's Avatar
    nebozvjezdano Posts: 1, Reputation: 1
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    #1

    Jan 30, 2011, 07:21 AM
    Solve the equation: cos^3(x) - sin^3(x) = cos^2(x)
    Help, please :)
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Jan 30, 2011, 07:50 AM
    You can factor the difference of two cubes as follows:



    So if you factor out the left side of the equation, notice that you'll end up with a sin^2(x) and a cos^2(x) in the second set of parentheses. Those will add together to become 1.

    See if you can take it from there.
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