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 #775723 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> manipulate left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Fcsc%28-theta%29+-+%28cot%28-theta%29%2Fsec%28-theta%29%29 ALIGN=MIDDLE  ALT=\"-1%2Fcsc%28-theta%29+-+%28cot%28-theta%29%2Fsec%28-theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28-theta%29+=-csc%28theta%29 ALIGN=MIDDLE  ALT=\"csc%28-theta%29+=-csc%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-theta%29=-cot%28theta%29 ALIGN=MIDDLE  ALT=\"cot%28-theta%29=-cot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28-theta%29=sec%28theta%29 ALIGN=MIDDLE  ALT=\"sec%28-theta%29=sec%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....common denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-csc%28theta%29sec%28theta%29 ALIGN=MIDDLE  ALT=\"-csc%28theta%29sec%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F%28-csc%28theta%29%29+-+%28-cot%28theta%29%2Fsec%28theta%29%29 ALIGN=MIDDLE  ALT=\"-1%2F%28-csc%28theta%29%29+-+%28-cot%28theta%29%2Fsec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcsc%28theta%29%2Bcot%28theta%29%2Fsec%28theta%29 ALIGN=MIDDLE  ALT=\"1%2Fcsc%28theta%29%2Bcot%28theta%29%2Fsec%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28theta%29%2F%28sec%28theta%29csc%28theta%29%29%2B%28cot%28theta%29csc%28theta%29%29%2F%28csc%28theta%29sec%28theta%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sec%28theta%29%2Bcot%28theta%29csc%28theta%29%29%2F%28csc%28theta%29sec%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sec%28theta%29%2Bcot%28theta%29csc%28theta%29%29%2F%28csc%28theta%29sec%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "express all with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+ ALIGN=MIDDLE  ALT=\"sin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29=1%2Fsin%28theta%29+ ALIGN=MIDDLE  ALT=\"csc%28theta%29=1%2Fsin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28theta%29=cos%28theta%29%2Fsin%28theta%29+ ALIGN=MIDDLE  ALT=\"cot%28theta%29=cos%28theta%29%2Fsin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fcos%28theta%29%2B%28cos%28theta%29%2Fsin%28theta%29%29%281%2Fsin%28theta%29%29%29%2F%28%281%2Fsin%28theta%29%29%281%2Fcos%28theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fcos%28theta%29%2Bcos%28theta%29%2Fsin%5E2%28theta%29%29%2F%281%2F%28sin%28theta%29%2Acos%28theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28theta%29%2F%28sin%5E2%28theta%29cos%28theta%29%29%2Bcos%5E2%28theta%29%2F%28cos%28theta%29sin%5E2%28theta%29%29%29%2F%281%2F%28sin%28theta%29%2Acos%28theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin%5E2%28theta%29%2Bcos%5E2%28theta%29%29%2F%28cos%28theta%29sin%5E2%28theta%29%29%29%2F%281%2F%28sin%28theta%29%2Acos%28theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%28cos%28theta%29%2Asin%5E2%28theta%29%29%29%2F%281%2F%28sin%28theta%29%2Acos%28theta%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%2Acos%28theta%29%29%2F%28cos%28theta%29%2Asin%5E2%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%28theta%29%2Acos%28theta%29%29%2F%28cos%28theta%29%2Asin%5E2%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28sin%28theta%29%29%2Across%28cos%28theta%29%291%29%2F%28cross%28cos%28theta%29%29%2Asin%5Ecross%282%29%28theta%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29=1%2Fsin%28theta%29+ ALIGN=MIDDLE  ALT=\"csc%28theta%29=1%2Fsin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29 ALIGN=MIDDLE  ALT=\"csc%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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