document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104462>Question 1104462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove the identity:\r<BR>\n" );
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document.write( "1+cosx/sinx = cscx + cotx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719218 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=719218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The identity as you show it is NOT true:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bcosx%2Fsinx+=+cscx+%2B+cotx ALIGN=MIDDLE  ALT=\"1%2Bcosx%2Fsinx+=+cscx+%2B+cotx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "If you correctly use parentheses to show the identity, then it is true:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bcosx%29%2Fsinx+=+cscx+%2B+cotx ALIGN=MIDDLE  ALT=\"%281%2Bcosx%29%2Fsinx+=+cscx+%2B+cotx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I will assume that you are submitting all of the large number of similar problems I see here waiting to be answered.<br><BR>\n" );
document.write( "You won't learn anything by having us do all of these for you.  You need to do them yourself.<br><BR>\n" );
document.write( "I will do this one more for you.  But you should be somewhat ashamed to have asked it, since this one is trivial.<br><BR>\n" );
document.write( "The general method for all the proofs is the same:<BR>\n" );
document.write( "(1) Get everything in terms of sine and cosine -- most of the identities you use will involve sines and cosines.  Sometimes (as in this case) just this one step will complete the proof.<BR>\n" );
document.write( "(2) If more is needed, look for a commonly used identity to change the form of the expression you are working on. Probably 90% of the time, the identity you will use is sinx^2+cosx^2 = 1.<br><BR>\n" );
document.write( "And don't forget that you should only work on one side to make it look like the other side....<br><BR>\n" );
document.write( "Okay, so here is this one....<br><BR>\n" );
document.write( "Work on the right hand side to make it look like the left hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cscx+%2B+cotx ALIGN=MIDDLE  ALT=\"cscx+%2B+cotx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsinx%29+%2B+%28cosx%2Fsinx%29 ALIGN=MIDDLE  ALT=\"%281%2Fsinx%29+%2B+%28cosx%2Fsinx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [basic definitions]<br><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bcosx%29%2Fsinx ALIGN=MIDDLE  ALT=\"%281%2Bcosx%29%2Fsinx\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [common denominator]<br><BR>\n" );
document.write( "  </SPAN>\n" );
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