document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305319>Question 305319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a+b=90degree, then the maximum value of cosacosb is.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218578 by </B><A HREF=/tutors/aboutme.mpl?userid=toidayma><B>toidayma(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=toidayma><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=toidayma><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For any a,b we have: <BR>\n" );
document.write( "cos(a) * cos(b) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28cos%28a%2Bb%29+%2B+cos%28a-b%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28cos%28a%2Bb%29+%2B+cos%28a-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since a + b = Pi/2, therefore<BR>\n" );
document.write( "cos(a) * cos(b) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28cos%28Pi%2F2%29+%2B+cos%28a-b%29%29+=+%281%2F2%29%2Acos%28a-b%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28cos%28Pi%2F2%29+%2B+cos%28a-b%29%29+=+%281%2F2%29%2Acos%28a-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > since cos(Pi/2) = 0.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a-b%29+%3C=+cos%280%29+=+1 ALIGN=MIDDLE  ALT=\"cos%28a-b%29+%3C=+cos%280%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \"=\" occurs when a = b = Pi/4 = 45 degrees.<BR>\n" );
document.write( "Thus, the maximum value of cos(a)*cos(b) is 1. </SPAN>\n" );
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