document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829513>Question 829513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of cos(arctan11/60)\r<BR>\n" );
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document.write( "At first, I thought I switched my calculator to radians; did 11/60; pressed the arctan button on my calculator (giving me something like 0.18333...). Then, I press the Cosine button to get my answer of 0.983241...) However, the question asks me to find the exact value of cos(arctan11/60), which makes me think it should more be in terms of something like sqrt(2)pi/2 (aka unit circle) format. \r<BR>\n" );
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document.write( "For a time, I also considered the answer to be 61/11, but that seems off as well. What is the correct, \"exact\" answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499918 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=499918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the exact value of cos(arctan11/60) <BR>\n" );
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document.write( "Let \"t\" = arctan(11/60)<BR>\n" );
document.write( "Then tan(t) = 11/60<BR>\n" );
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document.write( "Since tan(t) = y/x, y = 11 and x = 60<BR>\n" );
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document.write( "Then r = sqrt[11^2+60^2] = sqrt(3721) = 61<BR>\n" );
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document.write( "Therefore: cos(t) = x/r = 60/61<BR>\n" );
document.write( "So cos[arctan(11/60)] = 60/61\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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