document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278875>Question 278875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the smallest number \"x\" larger than 14pi such that sin x = sqrt2 / 2   (Give exact answer in terms of pi) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202851 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=202851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the smallest number \"x\" larger than 14pi such that sin x = sqrt2 / 2 (Give exact answer in terms of pi)\r<BR>\n" );
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document.write( "sin x = sqrt(2)/2<BR>\n" );
document.write( "x approx 0.78539816<BR>\n" );
document.write( "pi approx 3.14<BR>\n" );
document.write( "pi/2 approx 1.57<BR>\n" );
document.write( "pi/4 approx 0.78539816<BR>\n" );
document.write( "x approx pi/4<BR>\n" );
document.write( "we need an x larger than 14pi<BR>\n" );
document.write( "sin repeats every 2pi<BR>\n" );
document.write( "x = pi/4, 2pi + pi/4, 4pi + pi/4, 6pi + pi/4, 8pi + pi/4, 10pi + pi/4, <BR>\n" );
document.write( "    12pi + pi/4, 14pi + pi/4, ...<BR>\n" );
document.write( "smallest x larger than 14 pi is<BR>\n" );
document.write( "14pi + pi/4 = 56pi/4 + pi/4 = 57/4 pi\r<BR>\n" );
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