Error of The Approximations
Figure 3 shows the relative errors of the small angle approximations. The angles at which the relative error exceeds 1% are as follows:
- tan θ ≈ θ at about 0.176 radians.
- sin θ ≈ θ at about 0.244 radians.
- cos θ ≈ 1 - θ2/2 at about 0.664 radians.
Read more about this topic: Small-angle Approximation
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