document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040749>Question 1040749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello amazing tutors, can you help me solve this pleasee, thank youuu\r<BR>\n" );
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document.write( "(i)Sketch the graph of the curve y = 3 sin x, for &#8722;&#960; &#8804; x &#8804; &#960;\r<BR>\n" );
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document.write( "The straight line y = kx, where k is a constant, passes through the maximum point of this curve for &#8722;&#960; &#8804; x &#8804; &#960; .<BR>\n" );
document.write( "(ii) Find the value of k in terms of &#960;<BR>\n" );
document.write( "(iii) State the coordinates of the other point, apart from the origin, where the line and the curve<BR>\n" );
document.write( "intersect </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655646 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (i)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-pi%2C+pi%2C+-4%2C+4%2C+3sin%28x%29%2C+%286%2Fpi%29x%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+200%2C+-pi%2C+pi%2C+-4%2C+4%2C+3sin%28x%29%2C+%286%2Fpi%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(ii) k will just be the slope of the line passing through the origin.\r<BR>\n" );
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document.write( "Since the maximum is 3 over the interval, the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%283-0%29%2F%28pi%2F2-0%29+=+6%2Fpi ALIGN=MIDDLE  ALT=\"m+=+%283-0%29%2F%28pi%2F2-0%29+=+6%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+6%2Fpi ALIGN=MIDDLE  ALT=\"k+=+6%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" >. (The coordinates of the maximum are (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,3).)\r<BR>\n" );
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document.write( "(iii) The other point of intersection would be  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F2 ALIGN=MIDDLE  ALT=\"-pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-3), due to symmetry wrt the origin. </SPAN>\n" );
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