document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198721>Question 1198721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given cos theta = -1/5 and tan theta < 0, find cot theta and sin theta. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832553 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=832553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "cos(theta) < 0 and tan(theta) < 0 are two given pieces of information. <BR>\n" );
document.write( "This narrows theta to quadrant Q2 in the northwest corner.\r<BR>\n" );
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document.write( "cos(theta) = adjacent/hypotenuse = -1/5<BR>\n" );
document.write( "adjacent = -1<BR>\n" );
document.write( "hypotenuse = 5\r<BR>\n" );
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document.write( "Use the pythagorean theorem to find the opposite side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2824%29 ALIGN=MIDDLE  ALT=\"sqrt%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but I'll stick with the first version I mentioned.\r<BR>\n" );
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document.write( "Diagram:<BR>\n" );
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document.write( "adjacent = -1<BR>\n" );
document.write( "hypotenuse = 5<BR>\n" );
document.write( "opposite = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The adjacent value is negative since we're in negative x coordinate territory.\r<BR>\n" );
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document.write( "Relevant formulas<BR>\n" );
document.write( "cot(theta) = adjacent/opposite<BR>\n" );
document.write( "sin(theta) = opposite/hypotenuse\r<BR>\n" );
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document.write( "I'll let you finish up.\r<BR>\n" );
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document.write( "A similar question is found here:<BR>\n" );
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