16.2.4 Elementary functions

Examples for elementary functions in SymPy are trigonometric functions and their inverses. The following example shows how simplify acts on an expression which includes elementary functions:

x = symbols('x')
simplify(cos(x)**2 + sin(x)**2)  # returns 1

Here is another example of the use of elementary functions:

atan(x).diff(x) - 1./(x**2+1)  # returns 0

If you use SciPy and SymPy together, we strongly recommend that you use them in different namespaces:

import numpy as np
import sympy as sym
# working with numbers
x=3
y=np.sin(x)
# working with symbols
x=sym.symbols('x')
y=sym.sin(x)