document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394612>Question 394612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if tanA+secA= 3 then find tha value of sinA. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280015 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite everything in terms of sin(A) and cos(A) to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29%2Fcos%28A%29+%2B+1%2Fcos%28A%29+=+3 ALIGN=MIDDLE  ALT=\"sin%28A%29%2Fcos%28A%29+%2B+1%2Fcos%28A%29+=+3\"   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%28A%29+%2B+1%29%2Fcos%28A%29+=+3 ALIGN=MIDDLE  ALT=\"%28sin%28A%29+%2B+1%29%2Fcos%28A%29+=+3\"   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=sin%28A%29+%2B+1+=+3+cos+%28A%29 ALIGN=MIDDLE  ALT=\"sin%28A%29+%2B+1+=+3+cos+%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I'll rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-sin%5E2%28A%29%29 ALIGN=MIDDLE  ALT=\"sqrt%281-sin%5E2%28A%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=sin%28A%29+%2B+1+=+3sqrt%281+-+sin%5E2+%28A%29%29 ALIGN=MIDDLE  ALT=\"sin%28A%29+%2B+1+=+3sqrt%281+-+sin%5E2+%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Squaring both sides,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2+%28A%29+%2B+2sin%28A%29+%2B+1+=+9+-+9+sin%5E2+%28A%29 ALIGN=MIDDLE  ALT=\"sin%5E2+%28A%29+%2B+2sin%28A%29+%2B+1+=+9+-+9+sin%5E2+%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+=+sin%5E2+%28A%29 ALIGN=MIDDLE  ALT=\"u+=+sin%5E2+%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It is easy to see that we can now obtain a quadratic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10u%5E2+%2B+2u+-+8+=+0 ALIGN=MIDDLE  ALT=\"10u%5E2+%2B+2u+-+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5u%5E2+%2B+u+-+4+=+0 ALIGN=MIDDLE  ALT=\"5u%5E2+%2B+u+-+4+=+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=u+=+%28-1+%2B-+sqrt%281+%2B+80%29%29%2F10+=+%28-1+%2B-+9%29%2F10 ALIGN=MIDDLE  ALT=\"u+=+%28-1+%2B-+sqrt%281+%2B+80%29%29%2F10+=+%28-1+%2B-+9%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1 or 4/5. These values are between -1 and 1 inclusive, so these are the two possible values for sin(A).\r<BR>\n" );
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