document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985310>Question 985310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove these identity<BR>\n" );
document.write( "(1-SinA + CosA)^2 = 2(1-SinA)(1+ CosA) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606405 by </B><A HREF=/tutors/aboutme.mpl?userid=ThePhysicsMathGuru><B>ThePhysicsMathGuru(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ThePhysicsMathGuru><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=606405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite the LHS as \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+-+Sin+A+%2B+Cos+A%29%281+-+Sin+A+%2B+Cos+A%29+ ALIGN=MIDDLE  ALT=\"%281+-+Sin+A+%2B+Cos+A%29%281+-+Sin+A+%2B+Cos+A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now Multiply Thru\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+Sin+A+%2B+Cos+A+-+Sin+A+%2B+Sin%5E2A+-+Sin+A+Cos+A+%2B+Cos+A+-+Sin+A+Cos+A+%2B+Cos%5E2A+ ALIGN=MIDDLE  ALT=\"1+-+Sin+A+%2B+Cos+A+-+Sin+A+%2B+Sin%5E2A+-+Sin+A+Cos+A+%2B+Cos+A+-+Sin+A+Cos+A+%2B+Cos%5E2A+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now all that is left is to collect like terms \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+2Sin+A+%2B+2Cos+A+-+2SinA+Cos+A+%2B+%28Sin%5E2A+%2B+Cos%5E2A%29+ ALIGN=MIDDLE  ALT=\"1+-+2Sin+A+%2B+2Cos+A+-+2SinA+Cos+A+%2B+%28Sin%5E2A+%2B+Cos%5E2A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "We now end up with \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+-+2Sin+A+%2B+2Cos+A+-+2SinACosA+ ALIGN=MIDDLE  ALT=\"2+-+2Sin+A+%2B+2Cos+A+-+2SinACosA+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now you can either do Factoring By grouping on the previous expression or you can simply expand the RHS of the equation and the two parts are EQUAL with the 2 Factored out of the LHS\r<BR>\n" );
document.write( "\n" );
document.write( "QED\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );