document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680889>Question 680889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can you prove that there does not exist an angle theta such that costheta(sintheta)= 2/3<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 #422494 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=422494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm using x instead of theta\r<BR>\n" );
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document.write( "cos(x)*sin(x) = 2/3\r<BR>\n" );
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document.write( "(1/2)*sin(2x) = 2/3\r<BR>\n" );
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document.write( "sin(2x) = 2*2/3\r<BR>\n" );
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document.write( "sin(2x) = 4/3\r<BR>\n" );
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document.write( "2x = arcsin(4/3)\r<BR>\n" );
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document.write( "Since the domain of the arcsine function is -1 <= x <= 1 and since 4/3 is greater than 1, this means that there are no solutions. </SPAN>\n" );
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