document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805441>Question 805441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> derive the equation for the function with the following characteristics:\r<BR>\n" );
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document.write( "1. cot x: period 2 pi: phase shift p/4 to the left<BR>\n" );
document.write( "2. csc x: period pi : phase shift pi/2 to the right<BR>\n" );
document.write( "3. tan x: period pi/2 : vertical shift 3 units up  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485225 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=485225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> derive the equation for the function with the following characteristics: <BR>\n" );
document.write( "1. cot x: period 2 pi: phase shift p/4 to the left<BR>\n" );
document.write( "Form: y = a*cot[b(x-c)]<BR>\n" );
document.write( "Period = 2pi = pi/b; So b = 1/2<BR>\n" );
document.write( "phase shift = c = p/4<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = cot(1/2)(x - (p/4))<BR>\n" );
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document.write( "2. csc x: period pi : phase shift pi/2 to the right<BR>\n" );
document.write( "Form: y = a*csc[b(x-c)]<BR>\n" );
document.write( "Period = (2pi)/b = pi ; So b = 2<BR>\n" );
document.write( "Phase shift = c = pi/2<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = csc[2(x-(pi/2))<BR>\n" );
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document.write( "3. tan x: period pi/2 : vertical shift 3 units up<BR>\n" );
document.write( "Form: y = a*tan[b(x-c)]+d<BR>\n" );
document.write( "Period = pi/b = pi/2 ; So b = 2<BR>\n" );
document.write( "Vertical shift = 3 = d<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = tan[2x] + 3<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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