document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77324>Question 77324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=3sinx + 2cos2x, the value of (Pie/2) is  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55437 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=55437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you're trying to evaluate:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)\"> for the function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(x)=3sinx + 2cos2x \"> then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3sin(\pi/2) + 2cos(2(\pi/2)) \">\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 3sin(\pi/2)=3*1=3\"> we can reduce the first term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3 + 2cos(2(\pi/2)) \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3 + 2cos(\not{2}(\pi/\not{2})) \"> notice these terms cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3 + 2cos(\pi) \">\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large 2cos(\pi)=2(-1)=-2\">\r<BR>\n" );
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document.write( "Which reduces to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3 + (-2) \">\r<BR>\n" );
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document.write( "Which finally reduces to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=3-2=1 \">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(\pi/2)=1 \"> </SPAN>\n" );
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