document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036318>Question 1036318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation in the interval [0,2&#960;).\r<BR>\n" );
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document.write( "csc(theta) - sqrt2 = 0\r<BR>\n" );
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document.write( "Write your answer in radians in terms of &#960;.<BR>\n" );
document.write( "If there is more than one solution, separate them with commas. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650978 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=650978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+-+sqrt%282%29+=+0 ALIGN=MIDDLE  ALT=\"csc%28theta%29+-+sqrt%282%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28theta%29+=+sqrt%282%29 ALIGN=MIDDLE  ALT=\"csc%28theta%29+=+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28theta%29%29+=+sqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28theta%29%29+=+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+=+1%2F%28sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29+=+1%2F%28sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29+=+sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28theta%29+=+sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the unit circle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" width = 500 src = \"https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/2000px-Unit_circle_angles_color.svg.png\"><BR>\n" );
document.write( "Image Source: https://upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Unit_circle_angles_color.svg/2000px-Unit_circle_angles_color.svg.png\r<BR>\n" );
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document.write( "to find points on the unit circle that have y coordinates of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The corresponding values of theta are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+pi%2F4 ALIGN=MIDDLE  ALT=\"theta+=+pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+3pi%2F4 ALIGN=MIDDLE  ALT=\"theta+=+3pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the two solutions, in the interval  [0,2&#960;) are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3pi%2F4 ALIGN=MIDDLE  ALT=\"3pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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