Python | sympy.trigsimp() method
Last Updated :
29 Jan, 2023
With the help of sympy.trigsimp() method, we can simplify mathematical expressions using trigonometric identities.
Syntax: trigsimp(expression) Parameters: expression – It is the mathematical expression which needs to be simplified. Returns: Returns a simplified mathematical expression corresponding to the input expression.
Example #1: In this example, we can see that by using sympy.trigsimp() method, we can simplify any mathematical expression.
Python3
from sympy import *
x = symbols( 'x' )
expr = sin(x) * * 2 + cos(x) * * 2
print ( "Before Simplification : {}" . format (expr))
smpl = trigsimp(expr)
print ( "After Simplification : {}" . format (smpl))
expr1 = sin(x) * * 2 + cos(x) * * 2
print ( "Using simplify method : {}" . format (simplify(expr1)))
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Output:
Before Simplification : sin(x)**2 + cos(x)**2
After Simplification : 1
Using simplify method : 1
Example #2:
Python3
from sympy import *
x = symbols( 'x' )
expr = sin(x) * * 4 - 2 * cos(x) * * 2 * sin(x) * * 2 + cos(x) * * 4
print ( "Before Simplification : {}" . format (expr))
smpl = trigsimp(expr)
print ( "After Simplification : {}" . format (smpl))
expr1 = sin(x) * * 4 - 2 * cos(x) * * 2 * sin(x) * * 2 + cos(x) * * 4
print ( "Using simplify method : {}" . format (simplify(expr1)))
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Output:
Before Simplification : sin(x)**4 - 2*cos(x)**2*sin(x)**2 + cos(x)**4
After Simplification : cos(4*x)/2 + 1/2
Using simplify method : cos(4*x)/2 + 1/2
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