document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182315>Question 1182315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that (sin 0/1-cos 0) - (sin 0/1 + cos 0) = 2/tan0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812296 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "After replacing your \"0\" with \"theta\", the equation as you show it is this:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29%2F1-cos%28theta%29-sin%28theta%29%2F1%2Bcos%28theta%29+=+2%2Ftan%28theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29%2F1-cos%28theta%29-sin%28theta%29%2F1%2Bcos%28theta%29+=+2%2Ftan%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That equation is not true....<br><BR>\n" );
document.write( "If your study of math has reached the point where you are learning proving trig identities, then you should know that proper use of parentheses is important....!<br><BR>\n" );
document.write( "Let's look at the left-hand side of the inequality you INTENDED to show and see if we can show it is equivalent to the right-hand side.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29%2F%281-cos%28theta%29%29+-+sin%28theta%29%2F%281%2Bcos%28theta%29%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29%2F%281-cos%28theta%29%29+-+sin%28theta%29%2F%281%2Bcos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Combine fractions with the common denominator, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cos%28theta%29%29%281%2Bcos%28theta%29%29=1-cos%5E2%28theta%29=sin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"%281-cos%28theta%29%29%281%2Bcos%28theta%29%29=1-cos%5E2%28theta%29=sin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%281%2Bcos%28theta%29%29-sin%28theta%29%281-cos%28theta%29%29%29%2Fsin%5E2%28theta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%2Bsin%28theta%29cos%28theta%29-sin%28theta%29%2Bsin%28theta%29cos%28theta%29%29%2Fsin%5E2%28theta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282sin%28theta%29cos%28theta%29%29%2Fsin%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"%282sin%28theta%29cos%28theta%29%29%2Fsin%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%28theta%29%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"2cos%28theta%29%2Fsin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cot%28theta%29 ALIGN=MIDDLE  ALT=\"2cot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ftan%28theta%29 ALIGN=MIDDLE  ALT=\"2%2Ftan%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The proof is complete.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );