File:Arccotplot.png

#!/usr/bin/python
import numpy as np
import matplotlib.pyplot as plt
from mpmath import *
from pylab import rcParams
rcParams['figure.figsize'] = 10, 10

x1=np.arange(-20,-0.01,0.0001);
x2=np.arange(0.01,20,0.0001);
x3=np.arange(-20,20,0.0001);
def g(x):
        return 0
h=np.vectorize(g)
f=np.vectorize(acot)
y1=f(x1)
y2=f(x2)
y3=h(x3)

fig, ax = plt.subplots()

xlabels = [item.get_text() for item in ax.get_xticklabels()]
xlabels=[r'$-15$',r'$-10$',r'$-5$',r'$0$',r'$5$',r'$10$',r'$15$']
ax.set_xticks([-15,-10,-5,0,5,10,15])
ax.set_xticklabels(xlabels,horizontalalignment='center')

ylabels = [item.get_text() for item in ax.get_yticklabels()]
ylabels[0]=r'$-\frac{\pi}{2}$'
ylabels[1]=r'$0$'
ylabels[2]=r'$\frac{\pi}{2}$'
ax.set_yticks([-1.562,0,1.562])
ax.set_yticklabels(ylabels,horizontalalignment='right')

plt.xlabel('$x$')
plt.ylabel('$\mathrm{arccot}(x)$')

plt.plot(x1,y1,linewidth=2,color='Black')
plt.plot(x2,y2,linewidth=2,color='Black')
plt.plot(x3,y3,'--',linewidth=2,color='Black')

plt.savefig('arccotplot.png',bbox_inches='tight',pad_inches=0.15)