document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278403>Question 278403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I find all the solutions if I  have only been given the equation sinx=1/(4sinx) and told it is between [0, 2[pi]) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202602 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=202602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: Multiply both sides by sin(x) to go from <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=\frac{1}{4\sin(x)}\"> to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin^2(x)=\frac{1}{4}\">. From there, take the square root of both sides to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=\pm\frac{1}{2}\"> which essentially breaks down to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=\frac{1}{2}\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=-\frac{1}{2}\">\r<BR>\n" );
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document.write( "So your task is to solve the two equations <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=\frac{1}{2}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sin(x)=-\frac{1}{2}\"> for 'x'. Just take the inverse sine of both sides. Keep in mind that multiple values of 'x' satisfy each equation. </SPAN>\n" );
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