document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942196>Question 942196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the number of roots of the equation. cosx° = 10/x which lie in the interval -180 <x < 180.\r<BR>\n" );
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document.write( "In the textbook it says \"by drawing suitable sketch graphs.\"<BR>\n" );
document.write( "That might be difficult to show here but could someone please explain how to go about doing this? I know roots are where y=0 and by the usual cos x wave then there are two roots at 90 and -90. I thought about substituting x=10 into the equation and then I got 10/10 which equals 1 and then x=arccos1=0 so I was wondering if that is then a root. Although I'm not entirely sure. Any help at all would be appreciated. <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 #574345 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"I know roots are where y=0\"\r<BR>\n" );
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document.write( "What is y? And not quite, in this case.\r<BR>\n" );
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document.write( "First, sketch <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large y = \cos x^{\circ}\">. Then sketch <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?y = \frac{10}{x}\">. The roots are the x-coordinates of the intersection points. </SPAN>\n" );
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