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Can I approximate...

  1. Jan 13, 2016 #1
    θ/2 as θ if θ is a small angle?

    Thanks
     
  2. jcsd
  3. Jan 13, 2016 #2

    Krylov

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    That depends on how you quantify the error. For example, both angles are ##O(\theta)## of course, but the relative error is still ##O(1)##. By the latter I mean that
    $$
    \frac{\left|\frac{\theta}{2} - \theta \right|}{\left|\frac{\theta}{2}\right|} = 1
    $$
     
    Last edited: Jan 13, 2016
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