document.write( "Question 984922: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically. \n" ); document.write( "
Algebra.Com's Answer #605772 by Fombitz(32388)\"\" \"About 
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For very small values of theta (in radians), sin(x) approximately equals x.
\n" ); document.write( "The first five terms of the Taylor series expansion for sin(x) is
\n" ); document.write( "\"sin%28x%29=x-x%5E3%2F3%21%2Bx%5E5%2F5%21-x%5E7%2F7%21%2Bx%5E9%2F9%21\"
\n" ); document.write( "So when x is small, \"x%5E3\" and higher order terms become insignificant to the final answer.
\n" ); document.write( "You just have to define what small means in your case.
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