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Math Help - prove that

  1. #1
    Junior Member
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    prove that

    if a cos^3 theta + 3 a sin^2 theta cos theta = m and a sin^3 theta + 3 a cos ^2 theta = nprove that (m+n)^2/3 + (m - n)^ 2/3 = 2a ^ 2/3
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  2. #2
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    Start with

    \frac{(m+n)^2}{3} + \frac{(m - n)^ 2}{3} or is it (m+n)^{2/3} + (m - n)^ {2/3} ??

    make the relevant substitutions for m and n from above then expand and simplify until you get the RHS
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