document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062064>Question 1062064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the statement most accurately portrays the domain of the functions cosine and arccos?\r<BR>\n" );
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document.write( "A.) Cosine domain consists of all real numbers; arccos domain is also all real numbers.<BR>\n" );
document.write( "B.) Cosine domain is restricted; arccos domain consists of all real numbers.<BR>\n" );
document.write( "C.) Cosine domain consists of all real numbers; arccos domain is restricted.<BR>\n" );
document.write( "D.) Cosine domain is restricted; arccos domain also restricted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676846 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain is the set of possible values that can be input into a function.\r<BR>\n" );
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document.write( "For cos(x), x can be any real value (this is true because angles can go around and around and even land on top of each other, for example a rotation of 50 degrees and a rotation of 410 degrees lands at the same angle from the positive x-axis).   So, cos(x) domain is unrestricted.<BR>\n" );
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document.write( "For arccos(x), there is a restriction that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+%3C=+x+%3C=+1 ALIGN=MIDDLE  ALT=\"+-1+%3C=+x+%3C=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > because \"cos(x)\" always produces a number between -1 and +1 inclusive.  Thus, arccos() domain is restricted.<BR>\n" );
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document.write( "So answer C looks right.   <BR>\n" );
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