Solution: In physics it is important to use mathematical approximations. (a) Demonstrate that for small angles ( 20°) tan a &lt sin a &lt a 5 par 1808 where a is in radians and a9 is in degrees. (b) Use a calculator to find the largest angle for which tan a may be approximated by a with an error less than 10.0%.

In physics it is important to use mathematical approximations. (a) Demonstrate that for small angles ( 20°) tan a < sin a < a 5 par 1808 where a is in radians and a9 is in degrees. (b) Use a calculator to find the largest angle for which tan a may be approximated by a with an error less than 10.0%.