Small-angle approximation: Difference between revisions

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m Geometric: hyphen
Error of the approximations: Cos tetha equal approximately to tetha (and not to 1) till 8 degrees.
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Figure 3 shows the relative errors of the small angle approximations. The angles at which the relative error exceeds 1% are as follows:
 
* {{tmath|\cos \theta \approx 1 \theta }} at about 0.14 radians (8.1°)
* {{tmath|\tan \theta \approx \theta}} at about 0.17 radians (9.9°)
* {{tmath|\sin \theta \approx \theta}} at about 0.24 radians (14.0°)