document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505862>Question 505862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please prove this using Trigonometric Identities:\r<BR>\n" );
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document.write( "sin&#8308;x - cos&#8308;x + cos²x = sin²x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340070 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=340070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please prove this using Trigonometric Identities: <BR>\n" );
document.write( "sin&#8308;x - cos&#8308;x + cos²x = sin²x<BR>\n" );
document.write( "**<BR>\n" );
document.write( "starting with left side:<BR>\n" );
document.write( "sin&#8308;x - cos&#8308;x + cos²x<BR>\n" );
document.write( "difference of squares <BR>\n" );
document.write( "(sin^2x+cos2^x)(sin^2x-cos^2x)+cos^2x<BR>\n" );
document.write( "sin^2x=1-cos^2x<BR>\n" );
document.write( "(1-cos^2x+cos^2x)(1-cos^2x-cos^2x)+cos^2x<BR>\n" );
document.write( "(1)(1-2cos^2x)+cos^2x<BR>\n" );
document.write( "1-2cos^2x+cos^2x<BR>\n" );
document.write( "1-cos^2x=sin^2x<BR>\n" );
document.write( "left side=right side<BR>\n" );
document.write( "Identity verified </SPAN>\n" );
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