document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876190>Question 876190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i establish the identity\r<BR>\n" );
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document.write( "sin^3 theta - cos^3 theta/sin theta - cos theta = 1 + sin theta cos theta </SPAN>\n" );
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document.write( "sin^3 theta - cos^3 theta/sin theta - cos theta = 1 + sin theta cos theta<BR>\n" );
document.write( "we know a^3-b^3= (a-b)(a^2 + ab +b^2)<BR>\n" );
document.write( "using formula<BR>\n" );
document.write( "sin^3theta -cos^3theta = (sin theta -cos theta )(sin^2theta +cos^2 theta +sin theta. cos theta )<BR>\n" );
document.write( "(sin^3 theta - cos^3 theta)/(sin theta - cos theta)<BR>\n" );
document.write( "=(sin theta -cos theta )(sin^2theta +cos^2 theta +sin theta. cos theta )/sin theta - cos theta)<BR>\n" );
document.write( "=(sin^2 theta + cos^2 theta + sin theta cos theta )<BR>\n" );
document.write( "we know sin^2 theta + cos^2 theta =1 by substituting the value<BR>\n" );
document.write( "=<BR>\n" );
document.write( "=(sin^2 theta + cos^2 theta + sin theta cos theta ) = (1+ sin theta cos theta )<BR>\n" );
document.write( "answer  </SPAN>\n" );
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