document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030507>Question 1030507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given sin(theta)=-3/8, and (theta) is in quadrant III, find the exact value of the remaining 5 trigonometric functions.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645372 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=645372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given sin(theta)=-3/8, and (theta) is in quadrant III, find the exact value of the remaining 5 trigonometric functions.<BR>\n" );
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document.write( "By definition sin(t) = y/r. <BR>\n" );
document.write( "In QIII, y = -3 and r = 8<BR>\n" );
document.write( "Then x = -sqrt(8^2-3^2) = -sqrt(55)<BR>\n" );
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document.write( "sin = -3/8<BR>\n" );
document.write( "cos = x/r = -sqrt(55)/8<BR>\n" );
document.write( "tan = y/x = 3/sqrt(55)<BR>\n" );
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document.write( "csc = 1/sin<BR>\n" );
document.write( "sec = 1/sec<BR>\n" );
document.write( "cot = 1/tan<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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