document.write( "Question 232731: 1-(cosB-sinB)^2=sin2B \n" ); document.write( "
Algebra.Com's Answer #172035 by chibisan(131)\"\" \"About 
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1-(cosB-sinB)^2=sin2B\r
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\n" ); document.write( "\n" ); document.write( "L.H.S
\n" ); document.write( "1-(cos^2B-2sinBcosB + sin^2B)
\n" ); document.write( "1-cos^2B + 2sinBcosB -sin ^2B\r
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\n" ); document.write( "\n" ); document.write( "by using sinB+cosB=1
\n" ); document.write( "and 2sinBcosB=sin2B (double angle)\r
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\n" ); document.write( "\n" ); document.write( "sinB + sin2B - sin^2B
\n" ); document.write( "= sin2B (proven)
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