SOLUTION: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically.

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Question 984922: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For very small values of theta (in radians), sin(x) approximately equals x.
The first five terms of the Taylor series expansion for sin(x) is
sin%28x%29=x-x%5E3%2F3%21%2Bx%5E5%2F5%21-x%5E7%2F7%21%2Bx%5E9%2F9%21
So when x is small, x%5E3 and higher order terms become insignificant to the final answer.
You just have to define what small means in your case.