Example of Trigonometric Functions in Matplotlib

The matplotlib library offers excellent functionality for quick and simple graphing capabilities in python.

Excellent tutorials exist about how to use matplotlib for common graphing tasks. The matplotlib documentation of scipy by Mike Müller and the  Matplotlib Tutorial by Nicolas P. Rougier offer excellent code snippets that illustrate simple graphing in matplotlib.

I especially like Rougier's "Devil is in the Details" example, which I've modelled the following example on, to show the graphs of sine, cosecant, cosine, secant, tangent, and cotangent.

Here is my spin on this, code and results below.

from pylab import *

# rendering area
figure(figsize=(8,5), dpi=80)

# display area to use; can be modified to accomodate more graphs

# range
x = np.linspace(0, (2 * np.pi), 256,endpoint=True)

# formulas to graph
sine = np.sin(x)
cosine = np.cos(x)
tangent = np.tan(x)
cotangent = 1/np.tan(x)
cosecant = 1/np.sin(x)
secant = 1/np.cos(x)

# line styles and labels
plot(x, sine, color="red", linewidth=2.5, linestyle="-", label="sin")
plot(x, cosine, color="blue", linewidth=2.5, linestyle="-", label="cos")
plot(x, tangent, color="orange", linewidth=2.5, linestyle="-", label="tan")
plot(x, cotangent, color="purple", linewidth=2.5, linestyle="-", label="cot")
plot(x, cosecant, color="green", linewidth=2.5, linestyle="-", label="csc")
plot(x, secant, color="yellow", linewidth=2.5, linestyle="-", label="sec")

# tick spines
ax = gca()

# x tick limits and labels
xlim(x.min()*1.1, x.max()*1.1)
xticks([(-2 * np.pi), (-3 * np.pi/2), -np.pi, -np.pi/2, 0, np.pi/2, np.pi, (3 * np.pi/2), (2 * np.pi)], [r'$-2\pi$', r'$-3/2\pi$', r'$-\pi$', r'$-\pi/2$', r'$0$', r'$+\pi/2$', r'$+\pi$', r'$3/2\pi$', r'$2\pi$'])

# y tick limits and labels
ylim(-4, 4)
yticks([-4, -3, -2, -1, +1, +2, +3, +4], [r'$-4$', r'$-3$', r'$-2$', r'$-1$', r'$+1$', r'$+2$', r'$+3$', r'$+4$'])

# legend
legend(loc='upper left')

for label in ax.get_xticklabels() + ax.get_yticklabels():
  label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))

# display