document.write( "Question 816261: why sin theta is equal to tan theta when angle is minimum \n" ); document.write( "
Algebra.Com's Answer #491448 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "One way is:\r\n" );
document.write( "For very thin right triangles, the adjacent side and the hypotenuse\r\n" );
document.write( "are very nearly the same, so the opposite/hypotenuse is very close to\r\n" );
document.write( "the opposite/adjacent.\r\n" );
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document.write( "To elaborate on the other tutor's answer,\r\n" );
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document.write( "\"sin%28theta%29%2Fcos%28theta%29\" = \"tan%28theta%29\"\r\n" );
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document.write( "Multiply both sides by \"cos%28theta%29\"\r\n" );
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document.write( "\"sin%28theta%29\" = \"tan%28theta%29cos%28theta%29\"\r\n" );
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document.write( "Divide both sides by \"tan%28theta%29\"\r\n" );
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document.write( "\"sin%28theta%29%2Ftan%28theta%29\" = \"cos%28theta%29\"\r\n" );
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document.write( "When \"theta\" is very near to zero, the right side \"cos%28theta%29\" is \r\n" );
document.write( "very near to 1, since \"cos%280%29\" = 1\r\n" );
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document.write( "so the ratio of the sine to the tangent is very near to 1, which means\r\n" );
document.write( "they are nearly equal.\r\n" );
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document.write( "Edwin

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