document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511712>Question 511712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the trigonometric function f(t)= 6 + 4cos(4&#960;t).\r<BR>\n" );
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document.write( "  (i) What is the amplitude of f(t)?<BR>\n" );
document.write( " (ii) What is the period of f(t)?<BR>\n" );
document.write( "(iii) What are the maximum and minimum values attained by f(t)?<BR>\n" );
document.write( " (iv) Sketch the graph of f(t) for t &#8712; [0,1]. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342365 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=342365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the trigonometric function f(t)= 6 + 4cos(4&#960;t).<BR>\n" );
document.write( "Form: y = a*cos(bx-c) + d<BR>\n" );
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document.write( "a = 4 ; b = 4(pi) ; c = 0 ; d = 6<BR>\n" );
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document.write( "(i) What is the amplitude of f(t)?::: |a| = 4<BR>\n" );
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document.write( "(ii) What is the period of f(t)?::: P = (2pi)/b = (2pi)/(4pi) = (1/2)<BR>\n" );
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document.write( "(iii) What are the maximum and minimum values attained by f(t)?<BR>\n" );
document.write( "Because the cos graph is moved up 6, max = 4+6 = 10, min = -4+6 = 2<BR>\n" );
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document.write( "(iv) Sketch the graph of f(t) for t &#8712; [0,1].<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-5%2C15%2C4cos%283.14x%29%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-5%2C15%2C4cos%283.14x%29%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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