document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029359>Question 1029359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that 3cos(x) + 2sec(x) + 5 = 0, find all the possible values of cosx and tan^2(x). I found the possible values of cos(x) which are -2/3 and -1 but I couldn't find the values for tan^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 #644417 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=644417\">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=3%2Fsecx+%2B+2secx+%2B+5+=+0 ALIGN=MIDDLE  ALT=\"3%2Fsecx+%2B+2secx+%2B+5+=+0\"   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=%283%2B2sec%5E2%28x%29+%2B+5secx%29%2Fsecx+=+0 ALIGN=MIDDLE  ALT=\"%283%2B2sec%5E2%28x%29+%2B+5secx%29%2Fsecx+=+0\"   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%282secx+%2B3%29%28secx+%2B+1%29%29%2Fsecx+=+0 ALIGN=MIDDLE  ALT=\"%28%282secx+%2B3%29%28secx+%2B+1%29%29%2Fsecx+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Assuming <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=secx+%3C%3E+0 ALIGN=MIDDLE  ALT=\"secx+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we get \r<BR>\n" );
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document.write( "secx = -3/2, or   secx = -1\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29+%2B+1+=+9%2F4 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29+%2B+1+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29+%2B+1+=+1 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29+%2B+1+=+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=tan%5E2%28x%29=+5%2F4 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29=+5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29+=+0 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Incidentally, when the value of tangent squared is 5/4 or 0, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=secx%3C%3E0 ALIGN=MIDDLE  ALT=\"secx%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, hence these are the two valid values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E2%28x%29 ALIGN=MIDDLE  ALT=\"tan%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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