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Math Help - percentage difference?

  1. #1
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    percentage difference?

    This is for my physics class, but it's a math related problem.

    What is the percentage difference between \alpha and sin( \alpha)?

    Teacher said to use:
    \frac{\alpha - sin(\alpha)}{\alpha}

    then multiply by 100 to get the percentage. But I guess i just don't understand what i'm exactly supposed to do. Give \alpha a value and solve? Any help is greatly appreciated!
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  2. #2
    Senior Member vincisonfire's Avatar
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    You probably want for percentage difference for a given value. So yes you should give a value and solve.
    But in my opinion the formula would rather be  \frac{|sin\theta - \theta|}{sin\theta} since you usually approximate  sin\theta by  \theta
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