document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825697>Question 825697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem... Solve the equation sqrt(2) sinx=1 on the interval [0,2&#960;). Write your answer in terms of &#960;. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497518 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=497518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem... Solve the equation sqrt(2) sinx=1 on the interval [0,2&#960;). Write your answer in terms of &#960;.\r<BR>\n" );
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document.write( "sqrt(2)*sinx=1\r<BR>\n" );
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document.write( "sinx = 1/sqrt(2)\r<BR>\n" );
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document.write( "sinx = sqrt(2)/2 ... rationalize the denominator\r<BR>\n" );
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document.write( "x = arcsin(sqrt(2)/2) ... take the arcsine of both sides\r<BR>\n" );
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document.write( "x = pi/4 or x = 3pi/4 ... use the unit circle (link: <a  rel=nofollow HREF=\"http://www.regentsprep.org/Regents/math/algtrig/ATT5/600px-Unit_circle_angles_svg.jpg\">http://www.regentsprep.org/Regents/math/algtrig/ATT5/600px-Unit_circle_angles_svg.jpg</a>)\r<BR>\n" );
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document.write( "The two solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+pi%2F4 ALIGN=MIDDLE  ALT=\"x+=+pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3pi%2F4 ALIGN=MIDDLE  ALT=\"x+=+3pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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