CoCalc Public Files201-303-AH / Fichiers Sage pour les Étudiants / Exercice 26 page 124.sagews
Author: Julien Giol
Description: Fichiers Sage
Compute Environment: Ubuntu 18.04 (Deprecated)
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# Exercice 26 page 124


# Exercice 26 page 124

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## Traces dans les plans x = k


## Traces dans les plans x = k

var('x, y, z')
eq = z==cos(y)
r = 10
G = implicit_plot(eq, (y, -r, r), (z, -r, r), color = 'red')
show(G)

(x, y, z)
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## Traces dans les plans y = k


## Traces dans les plans y = k

var('x, y, z')
y=0
eq = z==cos(y)
show(eq)
r = 10
G = implicit_plot(eq, (x, -r, r), (z, -r, r), color = 'blue')
for k in range(1,4):
y = k*pi/3
eq = z==cos(y)
G+= implicit_plot(eq, (x, -r, r), (z, -r, r), color = 'blue')
show(G)

(x, y, z)
$\displaystyle z = 1$
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## Traces dans les plans z = k (courbes de niveau)


## Traces dans les plans z = k (courbes de niveau)

var('x, y, z')
z=0
eq = z==cos(y)
show(eq)
G = implicit_plot(eq, (x, -r, r), (y, -r, r), color = 'green')
for k in range(-1,2):
z = k
eq = z==cos(y)
G+= implicit_plot(eq, (x, -r, r), (y, -r, r), color = 'green')
show(G)

(x, y, z)
$\displaystyle 0 = \cos\left(y\right)$
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## Graphe


## Graphe

var('x, y, z')
eq = z==cos(y)
show(eq)
r = 10
G = implicit_plot3d(eq, (x, -r, r), (y, -r, r), (z, -r, r), plot_points=30, color='orange', mesh=1, opacity=.7)
show(G, spin=1)

(x, y, z)
$\displaystyle z = \cos\left(y\right)$
3D rendering not yet implemented