document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212802>Question 212802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation of the tangent function with period 3pi/8, phase shift -pi/5, and vertical shift -2\r<BR>\n" );
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document.write( "a)y=tan(8x/3 - 8pi/15)-2<BR>\n" );
document.write( "b)y=tan(8x/3 + 8pi/15)-2<BR>\n" );
document.write( "c)y=tan(16x/3 + 3pi/80)-2<BR>\n" );
document.write( "d)y=tan(8x/3 - 3pi/40)-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160790 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=160790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using a general form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+tan%28B%28x-D%29%29+%2B+C ALIGN=MIDDLE  ALT=\"y+=+tan%28B%28x-D%29%29+%2B+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > where B = (the natural period of tan)/(period of this function), D is the phase shift and C is the vertical shift, we want an equation where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+%28pi%29%2F%28%283%2Api%29%2F8%29+=+8%2F3 ALIGN=MIDDLE  ALT=\"B+=+%28pi%29%2F%28%283%2Api%29%2F8%29+=+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+-%28pi%2F5%29 ALIGN=MIDDLE  ALT=\"D+=+-%28pi%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and C = -2. We want an equation that looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+tan%28%288%2F3%29%28x+-+%28-%28pi%2F5%29%29%29%29+%2B+%28-2%29 ALIGN=MIDDLE  ALT=\"y+=+tan%28%288%2F3%29%28x+-+%28-%28pi%2F5%29%29%29%29+%2B+%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+tan%28%288%2F3%29%28x+%2B+pi%2F5%29%29+-+2 ALIGN=MIDDLE  ALT=\"y+=+tan%28%288%2F3%29%28x+%2B+pi%2F5%29%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "None of the answers look this this. But if we multiply out the argument of tan we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+tan%28%288%2F3%29x+%2B+%288%2Api%29%2F15%29+-+2 ALIGN=MIDDLE  ALT=\"y+=+tan%28%288%2F3%29x+%2B+%288%2Api%29%2F15%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which matches answer \"b\"<BR>\n" );
document.write( " </SPAN>\n" );
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