document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197786>Question 1197786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the tangent of an angle is positive and the secant of the angle is negative, in which quadrant does the angle terminate?<BR>\n" );
document.write( "A. I<BR>\n" );
document.write( "B. II<BR>\n" );
document.write( "C. III<BR>\n" );
document.write( "D. IV<BR>\n" );
document.write( "E. Information given is not sufficient to determine.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831237 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=831237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "sin = sine<BR>\n" );
document.write( "cos = cosine<BR>\n" );
document.write( "sec = secant<BR>\n" );
document.write( "tan = tangent\r<BR>\n" );
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document.write( "tan = sin/cos<BR>\n" );
document.write( "sec = 1/cos\r<BR>\n" );
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document.write( "Since tangent is positive, this means sin/cos is positive.<BR>\n" );
document.write( "This further means one of the the following (pick one)<BR>\n" );
document.write( "<ul><li>sin > 0 and cos > 0 (quadrant I)</li><li>sin < 0 and cos < 0 (quadrant III)</li></ul>We also know secant is negative, which makes 1/cos negative and cosine is also negative.<BR>\n" );
document.write( "Recall that <BR>\n" );
document.write( "x = cos(theta)<BR>\n" );
document.write( "If cosine is negative then we're to the left of the y axis in either quadrant II or quadrant III.<BR>\n" );
document.write( "But we know we're not in quadrant II because of the previous info mentioned. We must be in quadrant III.\r<BR>\n" );
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document.write( "I recommend reviewing a unit circle.\r<BR>\n" );
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document.write( "Answer: C. III<BR>\n" );
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document.write( " </SPAN>\n" );
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