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Math Help - Simplifying a trig expression

  1. #1
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    Simplifying a trig expression

    [(1 / (cos^2 (x)) - x]*sin(x)

    Can someone help me simplify this? Thanks,

    Kim
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  2. #2
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    Probably not. Why do you think it possible?
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  3. #3
    Super Member angel.white's Avatar
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    Quote Originally Posted by Kim Nu View Post
    [(1 / (cos^2 (x)) - x]*sin(x)

    Can someone help me simplify this? Thanks,

    Kim
    You've done a good job trying to line the brackets up, but they are unfortunately not correct. The "(" to the left of the "1" is never closed.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Kim Nu View Post
    [(1 / (cos^2 (x)) - x]*sin(x)

    Can someone help me simplify this? Thanks,

    Kim
    I cannot see any simplification other than

    \bigg[\frac{1}{\cos^2(x)}-x\bigg]\cdot\sin(x)=\frac{\sin(x)}{\cos^2(x)}-x\cdot\sin(x)=\tan(x)\cdot\sec(x)-x\cdot\sin(x)
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