document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339074>Question 339074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If csc theta = -5/4 and 180degrees < theta < 270degree, find tan theta\r<BR>\n" );
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document.write( "a. -4/3<BR>\n" );
document.write( "b. 3/4<BR>\n" );
document.write( "c. 4/3<BR>\n" );
document.write( "d. -4/5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243655 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cosecant = hypotenuse/opposite\r<BR>\n" );
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document.write( "180 < theta < 270 tells me that we are in quadrant 3.  \r<BR>\n" );
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document.write( "We form a right triangle in quadrant 3.  The hypotenuse = -5 and the leg opposite the hypotenuse = 4.  We are looking for the adjacent side of the right triangle.\r<BR>\n" );
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document.write( "Let A = adjacent side\r<BR>\n" );
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document.write( "A^2 + 4^2 = (-5)^2\r<BR>\n" );
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document.write( "A^2 + 16 = 25\r<BR>\n" );
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document.write( "A^2 = 25 - 16\r<BR>\n" );
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document.write( "A^2 = 9\r<BR>\n" );
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document.write( "sqrt[A^2] = sqrt[9]\r<BR>\n" );
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document.write( "A = 3\r<BR>\n" );
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document.write( "tangent = opposite side/adjacent\r<BR>\n" );
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document.write( "In quadrant 3, tangent is positive.\r<BR>\n" );
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document.write( "Answer: tan(theta) = 4/3...CHOICE (C). \r<BR>\n" );
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document.write( " </SPAN>\n" );
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