document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743897>Question 743897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for the exact solutions<BR>\n" );
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document.write( "  arcsin(x)+arctan(x)=0\r<BR>\n" );
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document.write( "Help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453087 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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/cgi-bin/show-face.mpl?user=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453087\">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=arcsin%28x%29%2Barctan%28x%29=0 ALIGN=MIDDLE  ALT=\"arcsin%28x%29%2Barctan%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arctan%28x%29=-arcsin%28x%29 ALIGN=MIDDLE  ALT=\"arctan%28x%29=-arcsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "arcsine is an odd function so we \"pull\" the negative sign into the input...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arctan%28x%29=arcsin%28-x%29 ALIGN=MIDDLE  ALT=\"arctan%28x%29=arcsin%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28arctan%28x%29%29=tan%28arcsin%28-x%29%29 ALIGN=MIDDLE  ALT=\"tan%28arctan%28x%29%29=tan%28arcsin%28-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The tangent of arcsine is...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fsqrt%281-x%5E2%29 ALIGN=MIDDLE  ALT=\"x%2Fsqrt%281-x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so we simplify...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%281-x%5E2%29=-x ALIGN=MIDDLE  ALT=\"x%2Asqrt%281-x%5E2%29=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Asqrt%281-x%5E2%29%2Bx=0 ALIGN=MIDDLE  ALT=\"x%2Asqrt%281-x%5E2%29%2Bx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28sqrt%281-x%5E2%29%2B1%29=0 ALIGN=MIDDLE  ALT=\"x%2A%28sqrt%281-x%5E2%29%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By the zero product rule\r<BR>\n" );
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document.write( "x=0\r<BR>\n" );
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document.write( "or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-x%5E2%29%2B1=0 ALIGN=MIDDLE  ALT=\"sqrt%281-x%5E2%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But the equation can never have a real solution (why?)\r<BR>\n" );
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document.write( "...so x=0 </SPAN>\n" );
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