In physics it is important to use mathematical approximations. Demonstrate that for small angles ( <20) tan a sin a a = a` /180 Where,

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%.