document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959840>Question 959840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. Let f(x)=3cos(2&#960;(x)+&#960;/2). Find each of the following for f.\r<BR>\n" );
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document.write( "i. Amplitude<BR>\n" );
document.write( "ii. Period<BR>\n" );
document.write( "iii. Phase shift\r<BR>\n" );
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document.write( "please describe what each one means and how to derive it from the function\r<BR>\n" );
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document.write( "b. Find all solutions 2cos^2 + cos(x) =1 \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586765 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=586765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Let f(x)=3cos(2&#960;(x)+&#960;/2). Find each of the following for f. <BR>\n" );
document.write( "i. Amplitude<BR>\n" );
document.write( "ii. Period<BR>\n" );
document.write( "iii. Phase shift <BR>\n" );
document.write( "please describe what each one means and how to derive it from the function <BR>\n" );
document.write( "equation for cos function: y=Acos(Bx-C), A=amplitude, period=2&#960;/B, phase shift=C/B<BR>\n" );
document.write( "For given cos function:f(x)=3cos(2&#960;(x)+&#960;/2)<BR>\n" );
document.write( "Amplitude=3<BR>\n" );
document.write( "B=2&#960;<BR>\n" );
document.write( "period=2&#960;/B=2&#960;/2&#960;=1<BR>\n" );
document.write( "phase shift=C/B=(&#960;/2)/2&#960;)=1/4(shift to the left)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b. Find all solutions 2cos^2 + cos(x) =1<BR>\n" );
document.write( "2cos^2x+cosx-1=0<BR>\n" );
document.write( "(2cosx-1)(cosx+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosx=1/2<BR>\n" );
document.write( "x=&#960;/3+2&#960;k, 5&#960;/3+2&#960;k, k=any integer<BR>\n" );
document.write( "or<BR>\n" );
document.write( "cosx=-1<BR>\n" );
document.write( "x=&#960;+2&#960;k, k=any integer </SPAN>\n" );
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