document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826174>Question 826174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an angle, in radian measure, between 0 and 2pi that is coterminal with the given angles.\r<BR>\n" );
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document.write( "a) 17pi/5<BR>\n" );
document.write( "b) -13pi/3<BR>\n" );
document.write( "c) 53pi/2<BR>\n" );
document.write( "d) 17pi/9\r<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 #497945 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=497945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do these you will be adding or subtracting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or integer multiples of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%7D%7D%29+until+you+get+a+number+between+0+and+%7B%7B%7B2pi ALIGN=MIDDLE  ALT=\"2pi%7D%7D%29+until+you+get+a+number+between+0+and+%7B%7B%7B2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Since the given angles are in fraction form, it will help to have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > in fraction form, too, so the addition/subtraction is easier.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi+=+10pi%2F5+=+6pi%2F3+=+4pi%2F2+=+18pi%2F9 ALIGN=MIDDLE  ALT=\"2pi+=+10pi%2F5+=+6pi%2F3+=+4pi%2F2+=+18pi%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hint: When deciding if you have a number between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, compare it to the fraction version of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > that you've been adding/subtracting.<br><BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17pi%2F5 ALIGN=MIDDLE  ALT=\"17pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "First we can see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17pi%2F5 ALIGN=MIDDLE  ALT=\"17pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10pi%2F5 ALIGN=MIDDLE  ALT=\"10pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (aka <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >). So we need to start subtracting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17pi%2F5-10pi%2F5=7pi%2F5 ALIGN=MIDDLE  ALT=\"17pi%2F5-10pi%2F5=7pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we have a number between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10pi%2F5 ALIGN=MIDDLE  ALT=\"10pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7pi%2F5 ALIGN=MIDDLE  ALT=\"7pi%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the co-terminal angle between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll leave the others for you to do. Just remember that you might have to add or subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiple times before you get a number between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "P.S. Don't add or subtract at all if the number starts out between 0 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >! </SPAN>\n" );
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