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Math Help - find the regions where sinx< or = to x

  1. #1
    Junior Member surffan's Avatar
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    find the regions where sinx< or = to x

    i graphed it out and im just trying to understand if this would mean every pi sinx is less than x, I understand that it crosses through the x intercept every pi.
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  2. #2
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    Quote Originally Posted by surffan View Post
    i graphed it out and im just trying to understand if this would mean every pi sinx is less than x, I understand that it crosses through the x intercept every pi.
    look at the graph ...

    \textcolor{blue}{\sin{x}} \le \textcolor{red}{x} for all x \ge 0
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  3. #3
    Junior Member surffan's Avatar
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    would sinx be equal to x at any point other than (0,0) or does it just come really close?
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  4. #4
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    Quote Originally Posted by surffan View Post
    would sinx be equal to x at any point other than (0,0) or does it just come really close?
    x = \sin{x} at x = 0 only ... close to x = 0 , x \approx \sin{x}
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