document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=573351>Question 573351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If csc of theta is 3 and cos of theta is less than 0, find sin of theta, cos of theta, tan of theta, cot of theta and sec of theta  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368748 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=368748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If csc of theta is 3 and cos of theta is less than 0, <BR>\n" );
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document.write( "From that you can say that theta is in Q2 where x is negative and y is positive.<BR>\n" );
document.write( "csc = r/y = 3/1 implies that r = 4 and y = 1<BR>\n" );
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document.write( "Solve for \"x\":<BR>\n" );
document.write( "r^2 = x^2 + y^2<BR>\n" );
document.write( "4^2 = x^2 + 1<BR>\n" );
document.write( "x^2 = 15<BR>\n" );
document.write( "x = -sqrt(15) (because x is negative in Q2)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "find sin = y/r = 1/3<BR>\n" );
document.write( "cos = x/r = -sqrt(15)/4<BR>\n" );
document.write( "tan = y/x = -1/sqrt(15)<BR>\n" );
document.write( "cot = x/y = -sqrt(15)<BR>\n" );
document.write( "sec = r/x = -4/sqrt(15)<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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