document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855985>Question 855985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if sin theta= -2/5 and tan theta <0 find cos, cot,sec,tan, and csc </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515989 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=515989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if sin theta= -2/5 and tan theta <0 find cos, cot,sec,tan, and csc<BR>\n" );
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document.write( "Since sin is negative and tan is negative, theta is in QIV<BR>\n" );
document.write( "where x is positive and y is negative.<BR>\n" );
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document.write( "Since sin = -2/5, y = -2 and r = 5<BR>\n" );
document.write( "Then x = sqrt[25-4] = sqrt(21)<BR>\n" );
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document.write( "sin = -2/5<BR>\n" );
document.write( "cos = x/r = sqrt(21)/5<BR>\n" );
document.write( "tan = y/x = -2/sqrt(21)<BR>\n" );
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document.write( "csc = -5/2<BR>\n" );
document.write( "sec = 5/sqrt(21)<BR>\n" );
document.write( "cot = -sqrt(21)/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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