In physics it is important to use mathematical approximations Demonstrate that for small angles ( 20) tan a sin a a a 180 Where, is in radians and a is in degrees Use a calculator to find the largest angle for which tan, may be approximated by sin, if the error is to be less than 10 0 ...

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In physics it is important to use mathematical approximations. Demonstrate that for small angles ( <20) tan

Question:

In physics it is important to use mathematical approximations. Demonstrate that for small angles (<20°) tan a ≈ sin a ≈ a = πa` /180° Where, is in radians and a` is in degrees. Use a calculator to find the largest angle for which tan, may be approximated by sin, if the error is to be less than 10.0%.