Trigonometry

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How do you factor and simplify,
1-sin^3x

and
sec^4x-2sec^2xtan^2x+tan^4x

  • Trigonometry -

    the first is the difference of two cubes:

    (1-a^3)=(1-a)(1+a+a^2)
    from...
    a3 – b3 = (a – b)(a2 + ab + b2)

    the second is very similar to

    (a^2-2ab+b^2).....

  • Trigonometry -

    I'm not positive, but the answer to 1-sin^3 would be (1-sinx)(1+sinx+sin^2x)

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