document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169157>Question 169157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a sine function that has given characteristics:           Amplitude: 4       Period: 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124739 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=124739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember, sine can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%2Asin%28bx%29 ALIGN=MIDDLE  ALT=\"y=a%2Asin%28bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28a%29 ALIGN=MIDDLE  ALT=\"abs%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the amplitude and \"b\" can be used to find the period. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Period=2pi%2Fb ALIGN=MIDDLE  ALT=\"Period=2pi%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since the amplitude is 4, this simply means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4 ALIGN=MIDDLE  ALT=\"a=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the period is 3, this tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=2pi%2Fb ALIGN=MIDDLE  ALT=\"3=2pi%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b=2pi ALIGN=MIDDLE  ALT=\"3b=2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2pi%2F3 ALIGN=MIDDLE  ALT=\"b=2pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the sine function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%2Asin%28%282pi%2F3%29x%29 ALIGN=MIDDLE  ALT=\"y=4%2Asin%28%282pi%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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