document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028124>Question 1028124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assuming all terms are defined, simplify<BR>\n" );
document.write( "(sinx/ cscx) + 1/(sec^2 x) + (tan^2 x).<BR>\n" );
document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643318 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=643318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Substitute according to the definitions and go from there.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28csc%28x%29=1%2Fsin%28x%29%2Csec%28x%29=1%2Fcos%28x%29%2Ctan%28x%29=sin%28x%29%2Fcos%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Through two steps, obtain  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29%2Bcos%5E2%28x%29%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29%2Bcos%5E2%28x%29%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%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%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"1%2B%28sin%5E2%28x%29%29%2F%28cos%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".... or that can still be kept as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Btan%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1%2Btan%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Looking for something simplified, you can find an identity involving sec(x), tan(x), and 1.  That might or might not give something to make your expression simpler.\r<BR>\n" );
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document.write( "Instead of that, the expression can go as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29%2Fcos%5E2%28x%29%2Bsin%5E2%28x%29%2Fcos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29%2Fcos%5E2%28x%29%2Bsin%5E2%28x%29%2Fcos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fcos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fcos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"1%2Fcos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and by recognizing the definition,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sec%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28sec%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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