@interact
def sinusoid(A = 1, B = 1, C = 0, D = 0):
f(x) = sin(x)
g(x) = A*f(B*x - C) + D
show(plot(f, 0, 2*pi, color = 'black', linestyle = '--')+plot(g, C/B, C/B+2*pi/B))
print f(x), '--->', g(x)
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a,b,c,d = 1,1/2,0,0
f(x) = a*sin(b*x - c) + d
f; plot(f, 0, 2*pi/b)
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points([(x, f(x)) for x in [0..2*pi/b, step = pi/60]])
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sinusoid(a,b,c,d,x) = a*sin(b*x + c) + d
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f(x) = sinusoid(1,1,0,0)
f
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plot(f, 0, 2*pi)
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g(x) = sinusoid(3,1/2,0,0)
g
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plot(g,0,4*pi)
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h(x)=sinusoid(1,1,pi/2,0)
h
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plot(h,0,2*pi)
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plot(cos,0,2*pi)
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t(x) = sinusoid(1,100,0,0)
t
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plot(t,0,1)
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frequency(b) = b/2/pi
frequency
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frequency(100).n()
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