document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337134>Question 337134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of sin165 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241665 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=241665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of sin165\r<BR>\n" );
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document.write( "it is not possible to find the exact value, even calculators will have rounding error, however you can use known sine values or sine values off a table to see if you are reasonably close, or just use the value off a calculator and round to the number of desired digits\r<BR>\n" );
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document.write( "0.258819 to 6 digits is the value of sin165 on my calculator\r<BR>\n" );
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document.write( "REVISITED PROBLEM\r<BR>\n" );
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document.write( "got a reply that said his/her book had these as choices:<BR>\n" );
document.write( "a sqrt6 - sqrt2/4 <BR>\n" );
document.write( "b sqrt6 + sqrt2/4 <BR>\n" );
document.write( "c sqrt2 - sqrt6/4 <BR>\n" );
document.write( "d sqrt:sqrt6 - sqrt2/4 \r<BR>\n" );
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document.write( "well choice d makes no sense unless<BR>\n" );
document.write( "it is sqrt2 + sqrt6/4 <BR>\n" );
document.write( "or sqrt(sqrt(6)) - sqrt2/4<BR>\n" );
document.write( "or sqrt(sqrt(6) - sqrt2/4)\r<BR>\n" );
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document.write( "you could just use a calculator on all these and find out what is closest\r<BR>\n" );
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document.write( "sqrt(6) is 2.449490 to 6 places<BR>\n" );
document.write( "sqrt(2) is 1.414214 to 6 places<BR>\n" );
document.write( "sqrt(2)/4 is 0.353553 to 6 places<BR>\n" );
document.write( "sqrt(6)/4 is 0.612372 to 6 places<BR>\n" );
document.write( "sqrt(sqrt(6)) is 1.565085 to 6 places<BR>\n" );
document.write( "sqrt(sqrt(6) - sqrt2/4) is 1.447735 to 6 places<BR>\n" );
document.write( "sqrt(6) - sqrt(2) is 1.035276 to 6 places<BR>\n" );
document.write( "(sqrt(6) - sqrt(2))/4 is 0.258819 to 6 places, hey that appears to work\r<BR>\n" );
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document.write( "a sqrt6 - sqrt2/4 --> this one seems closest to that though it is written badly\r<BR>\n" );
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document.write( "0.258819 to 6 digits is the value of sin165 on my calculator<BR>\n" );
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