document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115325>Question 1115325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help <BR>\n" );
document.write( "Rewrite r(t) = -4 sin (5t + pi/2) + 7 as, v(t), a function of cosine\r<BR>\n" );
document.write( "\n" );
document.write( "V(t)=_______ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730235 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13208)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A cosine function shifted one-quarter period to the right is the same as a sine function:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t-pi%2F2%29+=+cos%28t%29%2Acos%28pi%2F2%29%2Bsin%28t%29%2Asin%28pi%2F2%29+=+cos%28t%29%2A0%2Bsin%28t%29%2A1+=+sin%28t%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the given function<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%28t%29+=+-4sin%285t%2Bpi%2F2%29%2B7 ALIGN=MIDDLE  ALT=\"r%28t%29+=+-4sin%285t%2Bpi%2F2%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "is the same as the function<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+-4cos%28%285t%2Bpi%2F2%29-pi%2F2%29%2B7 ALIGN=MIDDLE  ALT=\"v%28t%29+=+-4cos%28%285t%2Bpi%2F2%29-pi%2F2%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "or<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+-4cos%285t%29%2B7 ALIGN=MIDDLE  ALT=\"v%28t%29+=+-4cos%285t%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There are of course an infinite number of equivalent functions using either sine or cosine.<br><BR>\n" );
document.write( "For example, a cosine function shifted a quarter period to the left is the same as a negative sine function:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28t%2Bpi%2F2%29+=+cos%28t%29%2Acos%28pi%2F2%29-sin%28t%29%2Asin%28pi%2F2%29+=+cos%28t%29%2A0%2Bsin%28t%29%2A%28-1%29+=+-sin%28t%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So another cosine function equivalent to the given sine function is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+4cos%28%285t%2Bpi%2F2%29%2Bpi%2F2%29%2B7 ALIGN=MIDDLE  ALT=\"v%28t%29+=+4cos%28%285t%2Bpi%2F2%29%2Bpi%2F2%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "or<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%28t%29+=+4cos%285t%2Bpi%29%2B7 ALIGN=MIDDLE  ALT=\"v%28t%29+=+4cos%285t%2Bpi%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );