document.write( "Question 962895: Evaluate without the use of a calculator: Sin 27 \n" ); document.write( "
Algebra.Com's Answer #588332 by Alan3354(69443)\"\" \"About 
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Evaluate without the use of a calculator: Sin 27
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\n" ); document.write( "Start with:
\n" ); document.write( "\"sin%2818%29+=+%28sqrt%285%29-1%29%2F4\"
\n" ); document.write( "\"cos%28x%29+=+sqrt%281+-+sin%5E2%28x%29%29\"
\n" ); document.write( "--> \"cos%2818%29+=+sqrt%28sqrt%2820%29+%2B+10%29%2F4\"
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\n" ); document.write( "sin(27) = sin(45 - 18)
\n" ); document.write( "= sin(45)cos(18) - sin(18)cos(45)
\n" ); document.write( "=
\n" ); document.write( "= \"%28sqrt%282%29%2F8%29%2A%28sqrt%28sqrt%2820%29+%2B+10%29+-+sqrt%285%29%2B1%29%29\"
\n" ); document.write( "= \"%28sqrt%28sqrt%2880%29+%2B+20%29+-+sqrt%2810%29%2Bsqrt%282%29%29%2F8\"
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