Math 115 Lab   M. Flashman
, 2003 11:00-12:20
•  Compare:
• graph of sin(x) with graph of sin(-x)
• graph of cos(x) with graph of cos(-x)
• graph of sin(x) with graph of sin(x+2pi)
• graph of cos(x) with graph of cos(x+2pi)
• Graphs of sine Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• 10-21 f(x)= Asin(x) Use animator; family
• f(x)= sin(Bx) Use animator; family.  See graph SinAX
• f(x)= sin(x+C) Use animator; family
• f(x)= Asin(Bx+C) Use animator; family. See  graph ABC sinX

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• Graphs of cosine Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• f(x)= Acos(x) Use animator; family
• f(x)= cos(Bx) Use animator; family
• f(x)= cos(x+C) Use animator; family
• f(x)= Acos(Bx+C) Use animator; family

• Solving equations
• Find A and B if y=Acos(Bx) with y(0)=20, y(pi/2)=20. Are these unique?
• Find x if  3sin(x) + 2cos(3x) = 4 ; slider, table, solver

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• Graphs of tangent Discuss how each constant  A, B, and C effects the graph.[>1, >0, <0.]
• f(x)= Atan(x) Use animator; family
• f(x)= tan(Bx) Use animator; family
• f(x)= tan(x+C) Use animator; family
• f(x)= Atan(Bx+C) Use animator; family