document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507339>Question 507339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the answer involves a square root it should be entered as sqrt.\r<BR>\n" );
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document.write( "If tan(theta)=4/3 and sin(theta)<0, then find:\r<BR>\n" );
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document.write( "a)sin(theta)<BR>\n" );
document.write( "b)cos(theta)<BR>\n" );
document.write( "c)sec(theta)<BR>\n" );
document.write( "d)csc(theta)<BR>\n" );
document.write( "e)cot(theta) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340428 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=340428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the answer involves a square root it should be entered as sqrt. <BR>\n" );
document.write( "If tan(theta)=4/3 and sin(theta)<0, then find:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "tan(theta) = y/x = 4/3<BR>\n" );
document.write( "So, y = 4 and x = 3<BR>\n" );
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document.write( "Since tan is positive and sin in negative, theta is in the 3rd Quadrant<BR>\n" );
document.write( "where x and y are negative.<BR>\n" );
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document.write( "Find \"r\":<BR>\n" );
document.write( "r = sqrt[3^2+4^2] = 5<BR>\n" );
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document.write( "sin = y/r = -4/5<BR>\n" );
document.write( "cos = x/r = -3/5<BR>\n" );
document.write( "tan = y/x = 4/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "csc = r/y = -5/4<BR>\n" );
document.write( "sec = r/x = -5/3<BR>\n" );
document.write( "ctn = x/y = 3/4<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H,<BR>\n" );
document.write( "============ <BR>\n" );
document.write( "a)sin(theta)<BR>\n" );
document.write( "b)cos(theta)<BR>\n" );
document.write( "c)sec(theta)<BR>\n" );
document.write( "d)csc(theta)<BR>\n" );
document.write( "e)cot(theta)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );