3421.sagews

c = circle((0,0), 1, rgbcolor=(1,1,0))

c.show()

c.show(aspect_ratio=1)

plot(cos, (-5,5))

x = var('x')
parametric_plot((cos(x),sin(x)^3),(x,0,2*pi),rgbcolor=hue(0.6))

plot(x^2,(x,300,500))

x = var('x')
p1 = parametric_plot((cos(x),sin(x)),(x,0,2*pi),rgbcolor=hue(0.2))
p2 = parametric_plot((cos(x),sin(x)^2),(x,0,2*pi),rgbcolor=hue(0.4))
p3 = parametric_plot((cos(x),sin(x)^3),(x,0,2*pi),rgbcolor=hue(0.6))
show(p1+p2+p3)

L = [[-1+cos(pi*i/100)*(1+cos(pi*i/100)),\
2*sin(pi*i/100)*(1-cos(pi*i/100))] for i in range(200)]
p = polygon(L, rgbcolor=(1/8,3/4,1/2))
p

L = [[6*cos(pi*i/100)+5*cos((6/2)*pi*i/100),\
6*sin(pi*i/100)-5*sin((6/2)*pi*i/100)] for i in range(200)]
p = polygon(L, rgbcolor=(1/8,1/4,1/2))
t = text("hypotrochoid", (5,4), rgbcolor=(1,0,0))
show(p+t)

v = [(sin(x),x) for x in srange(-2*float(pi),2*float(pi),0.1)]
line(v)

v = [(tan(x),x) for x in srange(-2*float(pi),2*float(pi),0.01)]
show(line(v), xmin=-20, xmax=20)

f = lambda x,y: cos(x*y)
contour_plot(f, (-4, 4), (-4, 4))