document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765032>Question 765032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An acute angle &#952; is in a right triangle with cos &#952; = five sixths (5/6). What is the value of sec &#952;?\r<BR>\n" );
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document.write( "ANd \r<BR>\n" );
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document.write( "An acute angle &#952; is in a right triangle with sin &#952; = two thirds . What is the value of cot &#952;?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465906 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=465906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An acute angle &#952; is in a right triangle with cos &#952; = five sixths (5/6). What is the value of sec &#952;? <BR>\n" );
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document.write( "sec = 1/cos<BR>\n" );
document.write( "sec(theta) = 1/(5/6) = 6/5<BR>\n" );
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document.write( "ANd \r<BR>\n" );
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document.write( "An acute angle &#952; is in a right triangle with sin &#952; = two thirds . What is the value of cot &#952;?<BR>\n" );
document.write( "sin = y/r<BR>\n" );
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document.write( "If sin(theta) = 2/3, y = 2 and r = 3<BR>\n" );
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document.write( "Then x = sqrt[3^2-2^2] = sqrt(5)<BR>\n" );
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document.write( "Therefore, cot(theta) = x/y = sqrt(5)/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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