document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431008>Question 431008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i evaluate arccos(cos 7pi/2) using the properties of inverse functions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299299 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Arccosine and cosine are inverses of each other, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arccos%28cos%287pi%2F2%29%29 ALIGN=MIDDLE  ALT=\"arccos%28cos%287pi%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7pi%2F2 ALIGN=MIDDLE  ALT=\"7pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, since the arccosine function restricts the range (since an infinite number of values are obtained), we say that this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arccos%28cos%287pi%2F2%29%29+=+pi%2F2 ALIGN=MIDDLE  ALT=\"arccos%28cos%287pi%2F2%29%29+=+pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Depending on the context of the problem, either answer could be correct, or even some general answer in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2+%2B+2k%2Api ALIGN=MIDDLE  ALT=\"pi%2F2+%2B+2k%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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