document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121954>Question 121954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5)       Find the period of f(x) = 3 - 2cos(3x+pi)\r<BR>\n" );
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document.write( "a)       2 pi / 3\r<BR>\n" );
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document.write( "b)       Pi / 3\r<BR>\n" );
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document.write( "c)       Pi / 6\r<BR>\n" );
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document.write( "d)       Pi\r<BR>\n" );
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document.write( "e)       2 pi </SPAN>\n" );
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document.write( "The general form of cosine is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+Acos%28Bx+%2B+C%29+%2B+D ALIGN=MIDDLE  ALT=\"y+=+Acos%28Bx+%2B+C%29+%2B+D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where the period <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=2pi%2FB+ ALIGN=MIDDLE  ALT=\"T=2pi%2FB+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So for the trig function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3+-+2cos%283x%2Bpi%29 ALIGN=MIDDLE  ALT=\"f%28x%29=3+-+2cos%283x%2Bpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which also looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-+2cos%283x%2Bpi%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=+-+2cos%283x%2Bpi%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Notice how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > matches up with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx ALIGN=MIDDLE  ALT=\"Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx=3x ALIGN=MIDDLE  ALT=\"Bx=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3 ALIGN=MIDDLE  ALT=\"B=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=2pi%2F3+ ALIGN=MIDDLE  ALT=\"T=2pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now simply plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=3 ALIGN=MIDDLE  ALT=\"B=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the period formula<BR>\n" );
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document.write( "So the period is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=2pi%2F3+ ALIGN=MIDDLE  ALT=\"T=2pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "So the answer is A) </SPAN>\n" );
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