document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395071>Question 395071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "Suppose that cot (Beta)= 9/7 and Beta is not in Quadrant I. Find sin(Beta) and cos(Beta). Use fundamental identities, give exact answers and rationalize if necessary. \r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280450 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=280450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28beta%29%2Fsin%28beta%29+=+9%2F7%29 ALIGN=MIDDLE  ALT=\"cos%28beta%29%2Fsin%28beta%29+=+9%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This number is positive, so either sine and cosine are both positive or both negative, so the angle is in quadrant III (since it's not in quadrant I).\r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28beta%29+=+9%2Fx ALIGN=MIDDLE  ALT=\"cos%28beta%29+=+9%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28beta%29+=+7%2Fx ALIGN=MIDDLE  ALT=\"sin%28beta%29+=+7%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some negative number x that we wish to find. By the Pythagorean identity,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2Fx%5E2+%2B+49%2Fx%5E2+=+1 ALIGN=MIDDLE  ALT=\"81%2Fx%5E2+%2B+49%2Fx%5E2+=+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=130%2Fx%5E2+=+1 ALIGN=MIDDLE  ALT=\"130%2Fx%5E2+=+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=x%5E2+=+130 ALIGN=MIDDLE  ALT=\"x%5E2+=+130\"   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=x+=+-sqrt%28130%29 ALIGN=MIDDLE  ALT=\"x+=+-sqrt%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28beta%29+=+-9%2Fsqrt%28130%29+=+-9sqrt%28130%29%2F130 ALIGN=MIDDLE  ALT=\"cos%28beta%29+=+-9%2Fsqrt%28130%29+=+-9sqrt%28130%29%2F130\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28beta%29+=+-7%2Fsqrt%28130%29+=+-7sqrt%28130%29%2F130 ALIGN=MIDDLE  ALT=\"sin%28beta%29+=+-7%2Fsqrt%28130%29+=+-7sqrt%28130%29%2F130\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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