# Can I approximate...

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1. Jan 13, 2016

### Cozma Alex

θ/2 as θ if θ is a small angle?

Thanks

2. Jan 13, 2016

### Krylov

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