document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046263>Question 1046263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the minimum value of sin^2(x)+cos^2(x)+sec^2(x)+cosec^2(x)+tan^2(x)+cot^2(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661866 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29%2Bcos%5E2%28x%29%2Bsec%5E2%28x%29%2Bcsc%5E2%28x%29%2Btan%5E2%28x%29%2Bcot%5E2%28x%29+=+1%2B+tan%5E2%28x%29+%2B1+%2Bcot%5E2%28x%29+%2B1+%2Btan%5E2%28x%29+%2Bcot%5E2%28x%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=3%2B+2%28tan%5E2%28x%29+%2B+cot%5E2%28x%29%29+=+3%2B+2%28tan%5E2%28x%29+%2B+1%2Ftan%5E2%28x%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Whenever <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+%3E+0 ALIGN=MIDDLE  ALT=\"alpha+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+%2B+1%2Falpha+%3E=+2+ ALIGN=MIDDLE  ALT=\"alpha+%2B+1%2Falpha+%3E=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is always true.\r<BR>\n" );
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document.write( "===> The minimum of the original expression is 3 + 2*2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287%29 ALIGN=MIDDLE  ALT=\"highlight%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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