document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153470>Question 1153470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -1/(csc(-theta)) - (cot(-theta))/(sec(-theta)) = csc(theta) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775727 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=775727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Simplify the first term on the left by expressing everything in sin(x) and cos(x), and using sin(-x) = -sin(x):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fcsc%28-x%29+=+-sin%28-x%29+=+-%28-sin%28x%29%29+=+sin%28x%29 ALIGN=MIDDLE  ALT=\"-1%2Fcsc%28-x%29+=+-sin%28-x%29+=+-%28-sin%28x%29%29+=+sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Similarly, simplify the second term on the left:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-x%29%2Fsec%28-x%29+=+%28cos%28-x%29%2Fsin%28-x%29%29%2F%281%2Fcos%28-x%29%29+=+%28cos%5E2%28-x%29%2Fsin%28-x%29%29+=+%28-cos%5E2%28x%29%2Fsin%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The expression on the left is now<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29-%28-cos%5E2%28x%29%2Fsin%28x%29%29+=+sin%28x%29%2B%28cos%5E2%28x%29%2Fsin%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Combine terms using a common denominator and use sin^2(x)+cos^2(x)=1:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2Fsin%28x%29+=+1%2Fsin%28x%29+=+csc%28x%29 ALIGN=MIDDLE  ALT=\"%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2Fsin%28x%29+=+1%2Fsin%28x%29+=+csc%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );