document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47889>Question 47889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I tried to figure out the period of the following functions can you tell me if they are correct?<BR>\n" );
document.write( "\"find the period of the following functions\"\r<BR>\n" );
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document.write( "a.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4sin%282x%29%2B1 ALIGN=MIDDLE  ALT=\"y=4sin%282x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    period: 180?\r<BR>\n" );
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document.write( "b.) y=-3tan(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >x)<BR>\n" );
document.write( "    period: 2?\r<BR>\n" );
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document.write( "c.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=cos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"y=cos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   period: 180?\r<BR>\n" );
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document.write( "d.) y=-3sec(-6x)+2<BR>\n" );
document.write( "   period: -60?\r<BR>\n" );
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document.write( "if not can you help me with the correct answer? thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31676 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=31676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4sin%282x%29%2B1 ALIGN=MIDDLE  ALT=\"y=4sin%282x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    period: 180 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C4%2Asin%282x%29%2B1%2C1%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C4%2Asin%282x%29%2B1%2C1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b.) y=-3tan(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >x)<BR>\n" );
document.write( "    period: 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-3%2Asin%283.141592653x%29%2Fcos%283.141592653x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=cos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"y=cos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   period: 180 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Ccos%28x%29%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Ccos%28x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d.) y=-3sec(-6x)+2<BR>\n" );
document.write( "   period: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >/3<BR>\n" );
document.write( "This one seems to be a symmetry graph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-12%2C12%2C-12%2C12%2C-3%2Fcos%28-6x%29%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-12%2C12%2C-12%2C12%2C-3%2Fcos%28-6x%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );