document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402890>Question 402890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stuck on this problem...please help!! \r<BR>\n" );
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document.write( "Calculate the amplitude, period, phase shift, and use the information to sketch one full cycle of the graph of the equation f(t) = 0.2 cos (pi/12 t - 7pi/12), which is used in predicting the height of ocean tidal components.\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 #285434 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=285434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Stuck on this problem...please help!!<BR>\n" );
document.write( "Calculate the amplitude, period, phase shift, and use the information to sketch one full cycle of the graph of the equation f(t) = 0.2 cos (pi/12 t - 7pi/12), which is used in predicting the height of ocean tidal components.<BR>\n" );
document.write( "Thank you!!\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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document.write( "The standard form for the Cos function is,<BR>\n" );
document.write( "y=ACos(Bx-C) (B>0),with A=amplitude, Period=2pi/B, Phase shift=C/B<BR>\n" );
document.write( "For the given equation,<BR>\n" );
document.write( "f(t) = 0.2 cos (pi/12 t - 7pi/12)\r<BR>\n" );
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document.write( "A=0.2<BR>\n" );
document.write( "B=pi/12<BR>\n" );
document.write( "C=7pi/12\r<BR>\n" );
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document.write( "Amplitude = 0.2<BR>\n" );
document.write( "Period = 2pi/B=2pi/(pi/12)=24 radians<BR>\n" );
document.write( "Phase Shift = C/B=(7pi/12)/(pi/12)=7 radians\r<BR>\n" );
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document.write( "On the x-axis on a scale of radians, without a phase shift, <BR>\n" );
document.write( "starting from zero, the basic cos curve will like this for one full cycle:\r<BR>\n" );
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document.write( "(0,0.2),(6,0), (12,-0.2),(18,0),(24,0.2)\r<BR>\n" );
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document.write( "With a phase shift of 7, all the x-values will shift right by 7 as follows:\r<BR>\n" );
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document.write( "(7,0.2),(13,0), (19,-0.2),(25,0),(31,0.2)\r<BR>\n" );
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document.write( "The graphs below show the green curve as the original and the red curve as the original shifted 7 radians:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-0%2C30%2C-.4%2C.4%2C.2cos%28%283.14%2F12%29x-+%287%29%283.14%29%2F12%29%2C.2cos%28%283.14%2F12%29x-+0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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