document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011901>Question 1011901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation:  solve exactly: sin(x) + 4csc(x) + 5=0 \r<BR>\n" );
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document.write( "I have done: sin(x) + 4/sin(x) +5=0<BR>\n" );
document.write( "                   sin^2(x)/sin(x)+4/sin(x)+5+0<BR>\n" );
document.write( "                  4+sin^2(x)/sin(x)=-5<BR>\n" );
document.write( "                  4+sin^2(x)=-5sin(x)<BR>\n" );
document.write( "                  sin^2(x)+5sin(x)+4=0<BR>\n" );
document.write( "                  (sin(x)+1) (sin(x)+4) =0<BR>\n" );
document.write( "                   sin(x)=-1, sin(x)=-4.\r<BR>\n" );
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document.write( "Please let me know if I have made a mistake somewhere, and/or where to go from here. I need to have an exact value, so I can't just plug in sin^-1(-1) and sin^-1(-4) into my calculator.<BR>\n" );
document.write( "Thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627710 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=627710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve exactly: <BR>\n" );
document.write( "sin(x) + 4csc(x) + 5=0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Multiply thru by sin(x) to get:<BR>\n" );
document.write( "sin^2(x) + 5sin(x) + 4 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(sin(x)+1)(sin(x)+4) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin(x) = -1 or sin(x) = -4 (extraneous)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "sin(x) = -1 when x = 270 degrees.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------  </SPAN>\n" );
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