Math 115 Lab M. Flashman
, 2003 11:00-12:20
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Compare:
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graph of sin(x) with graph of sin(-x)
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graph of cos(x) with graph of cos(-x)
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graph of sin(x) with graph of sin(x+2pi)
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graph of cos(x) with graph of cos(x+2pi)
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Graphs of sine Discuss how
each constant A, B, and C effects the graph.[>1, >0, <0.]
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10-21 f(x)= Asin(x) Use animator; family
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f(x)= sin(Bx) Use animator; family. See
graph
SinAX
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f(x)= sin(x+C) Use animator; family
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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.]
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f(x)= Acos(x) Use animator; family
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f(x)= cos(Bx) Use animator; family
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f(x)= cos(x+C) Use animator; family
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f(x)= Acos(Bx+C) Use animator; family
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Solving equations
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Find A and B if y=Acos(Bx) with y(0)=20, y(pi/2)=20.
Are these unique?
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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.]
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f(x)= Atan(x) Use animator; family
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f(x)= tan(Bx) Use animator; family
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f(x)= tan(x+C) Use animator; family
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f(x)= Atan(Bx+C) Use animator; family