document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=801806>Question 801806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove sinx+cosx=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483658 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=483658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sinx+cosx = 1<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "sin(x) = sqrt(1-cos^2(x))<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute and solve for cos(x):<BR>\n" );
document.write( "sqrt(1-cos^2)x + cos(x) = 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "sqrt(1-cos^2(x)) = 1 - cos(x)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "1-cos^2(x) = 1 - 2cos(x) + cos^2(x)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "2cos^2(x) - 2cos = 0<BR>\n" );
document.write( "cos^2 - cos = 0<BR>\n" );
document.write( "cos(cos-1) = 0<BR>\n" );
document.write( "cos(x) = 0 or cos(x) = 1<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "x = pi/2 or (3/2)pi or 0<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );