document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626404>Question 626404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the pt (5,12) is on the terminal side of an angle that is in standard position. find the value of the six trigonometric function </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394290 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=394290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The point (5, 12) is in the first quadrant. So all the functions will have positive values. All we have to do is find the ratios. The 5 will be the adjacent side and the 12 will be the opposite side. We just have to find the hypotenuse and we'll be ready to go.<br><BR>\n" );
document.write( "To find the hypotenuse we use the Pythagorean Theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2+%2B+12%5E2+=+x%5E2 ALIGN=MIDDLE  ALT=\"5%5E2+%2B+12%5E2+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+%2B+144+=+x%5E2 ALIGN=MIDDLE  ALT=\"25+%2B+144+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169+=+x%5E2 ALIGN=MIDDLE  ALT=\"169+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+=+x ALIGN=MIDDLE  ALT=\"13+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lets call the angle in question angle A.<BR>\n" );
document.write( "sin(A) = opposite/hypotenuse = 12/13<BR>\n" );
document.write( "cos(A) = adjacent/hypotenuse = 5/13<BR>\n" );
document.write( "tan(A) = opposite/adjacent = 12/5<BR>\n" );
document.write( "csc(A) = 1/sin(A) = 13/12<BR>\n" );
document.write( "sec(A) = 1/cos(A) = 13/5<BR>\n" );
document.write( "cot(A) = 1/tan(A) = 5/12 </SPAN>\n" );
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