document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168755>Question 1168755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the smallest number Θ larger than 8pi such that sinΘ = (square root2/2)<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 #793370 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=793370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Use a unit circle or reference table to see that<BR>\n" );
document.write( "sin(pi/4) = sqrt(2)/2<BR>\n" );
document.write( "note: pi/4 radians = 45 degrees\r<BR>\n" );
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document.write( "From here, add on 2pi to get a coterminal angle<BR>\n" );
document.write( "pi/4 + 2pi = pi/4 + 8pi/4 = 9pi/4\r<BR>\n" );
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document.write( "Use your calculator to get<BR>\n" );
document.write( "8pi = 25.1327412287183<BR>\n" );
document.write( "9pi/4 = 7.06858347057703<BR>\n" );
document.write( "So 9pi/4 is not larger than 8pi\r<BR>\n" );
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document.write( "We need to add on another multiple of 2pi<BR>\n" );
document.write( "9pi/4 + 2pi = 9pi/4 + 8pi/4 = 17pi/4<BR>\n" );
document.write( "17pi/4 = 13.3517687777567<BR>\n" );
document.write( "which is not bigger than 8pi = 25.1327\r<BR>\n" );
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document.write( "So we need to add on yet another multiple of 2pi<BR>\n" );
document.write( "We keep going until the result is larger than 8pi = 25.1327<BR>\n" );
document.write( "17pi/4+2pi = 17pi/4+8pi/4 = 25pi/4<BR>\n" );
document.write( "25pi/4 = 19.6349540849362<BR>\n" );
document.write( "Still not big enough\r<BR>\n" );
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document.write( "Add on another 2pi<BR>\n" );
document.write( "25pi/4+2pi = 25pi/4+8pi/4 = 33pi/4<BR>\n" );
document.write( "33pi/4 = 25.918139<BR>\n" );
document.write( "Now this is finally bigger than 8pi = 25.1327\r<BR>\n" );
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document.write( "Answer:  theta = 33pi/4\r<BR>\n" );
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