Python Math Functions

The Python Math Library provides various Functions and Constants / Properties, which allows us to perform mathematical functionality. Unlike other Python global objects, Properties and Functions inside the Python math library object is static. So, we can access the properties as Math.PI and functions as Math.abs(number).

Python Math Object Properties

The following table will show you the list of Properties or Constants available in Python Math library

Python Math Functions

The following table will show you the list of Functions available in Python Math Library

Python Power and Logarithmic Functions

Following functions are the list of Power and logarithmic functions available in Python Math Library.

Python Trigonometric Functions

Following functions are the list of Trigonometric functions available in Python Math Library.

Python Hyperbolic Functions

The Python Hyperbolic Functions are trigonometric functions which allows us to perform following functions on Hyperbolic, instead of Circles.

Python Angular Functions

The following functions are the list of Angular functions available in Python Math Library.

Python Special Functions

The following functions are the list of Special functions available in Python Math Library.

Python Math Functions Examples

The following examples helps you to understand these math or mathematical functions in Python

Python Math Constants Example

In this Python Mathematical constants example, we are going to use the list of available constants in the Math library. They are pi, e, tau, inf and NaN.

# Python Constant Examples
 
import math
 
print('pi Constant - Pi Value = ', math.pi)
print('pi Constant - Degrees of Pi Value = ', math.degrees(math.pi))
 
print('\ne Constant - e Value = ', math.pi)
print('e Constant - Degrees of e Value = ', math.degrees(math.e))
 
print('\ntau Constant - tau Value = ', math.tau)
print('tau Constant - Degrees of tau Value = ', math.degrees(math.tau))
 
print('\ninf Constant - Positive Infinity = ', math.inf)
print('inf Constant - Negative Infinity = ', -math.inf)
 
print('\nNaN Constant - Not a Number = ', math.nan)

OUTPUT

Python Math Functions Example 1

In this Python Mathematical Functions example, we are going to use the FABS to find the absolute value, and copysign to change the sign. Next, we used the ceil and floor function to find the Ceiling and Floor values.

Within the last statement, we used Factorial function to find the factorial of a given value. Cosine, Sine and Tangent Values.

# Python Mathematical Functions Examples
 
import math
 
x = 10.98
y = 30.22
z = -40.95
 
print('FABS Function - Absolute Value of z = ', math.fabs(z))
print('FABS Function - Absolute Value of -124.897 = ', math.fabs(-124.897))
 
print('\ncopysign Function - copysign Value of x, z = ', math.copysign(x, z))
print('copysign Function - copysign Value of z, x = ', math.copysign(z, x))
 
print('\nCEIL Function - Ceiling Value of x = ', math.ceil(x))
print('CEIL Function - Ceiling Value of y = ', math.ceil(y))
 
print('\nFLOOR Function - Floor Value of x = ', math.floor(x))
print('FLOOR Function - Floor Value of y = ', math.floor(y))
 
print('\nFactorial Function - Factorial of 3 = ', math.factorial(3))
print('Factorial Function - Factorial of 5 = ', math.factorial(5))

OUTPUT

Python Math Functions Example 2

In this Python Mathematical Functions example, we used FMOD, FREXP, FSUM and GCD functions with different values.

# Python Mathematical Functions Examples
 
import math
 
print('FMOD Function - Mod Value of 2 and 3 = ', math.fmod(2, 3))
print('FMOD Function - Mod Value of 225.55 and 5.5 = ', math.fmod(222.55, 5.5))
 
print('\nFREXP Function - Mantissa and Exponent Value of 5 = ', math.frexp(5))
print('FREXP Function - Mantissa and Exponent Value of -9 = ', math.frexp(-9))
 
print('\nFSUM Function - Sum of Tuple Items = ', math.fsum((10, 20, 30, 40)))
print('FSUM Function - Sum of List Items = ', math.fsum([5, 22, 35, 9]))
 
print('\nGCD Function - GCD of two Value of 10 and 2 = ', math.gcd(10, 2))
print('GCD Function - GCD of two Value of 100 and 15 = ', math.gcd(100, 15))

OUTPUT

Python Mathematical Functions Example 3

In this Python Math Functions example, we used ROUND, LDEXP, MODF, TRUNC and REMAINDER functions.

# Python Mathematical Functions Examples
 
import math
 
print('ROUND Function - Rounded Value 100.98763 = ', round(100.9876, 2))
print('ROUND Function - Rounded Value 125.932832 = ', round(125.932832, 3))
 
print('\nLDEXP Function - LDEXP (FREXP inverse) Value of 4, 5 = ', math.ldexp(4, 5))
print('LDEXP Function - LDEXP (FREXP inverse) Value of -9, 2 = ', math.ldexp(-9, 2))
 
print('\nMODF Function - Modf (Divided 1 to 2) Value of 100 = ', math.modf(100))
print('MODF Function - Modf (Divided 1 to 2) Value of 120.98 = ', math.modf(120.98))
 
print('\nTRUNC Function - Truncated Value 100.98763 = ', math.trunc(100.9876))
print('ROUND Function - Truncated Value 125.932832 = ', math.trunc(-125.932832))
 
print('\nREMAINDER Function - Remainder of 29 and 5 = ', math.remainder(20, 5))
print('REMAINDER Function - Remainder of 10 and 3 = ', math.remainder(10, 3))

OUTPUT

Python Logarithmic Functions Example

In this Python Logarithmic Function example, we are going to use the EXP, EXPM1 to get exp values. Next, we used the LOG, LOG2 and LOG10 functions to get the natural logarithmic value, base 2Logarithmic value. and base 10 logarithmic value.

Next, we used the POW to find x raised to power of y, and SQRT function to find the square root of a number.

# Python Power and Logarithmic Functions Examples
 
import math
 
print('EXP Function - exp Value of 5 = ', math.exp(5))
print('EXP Function - exp Value of -3 = ', math.exp(-3))
 
print('\nEXPM1 Function - expm1 Value of 8 = ', math.expm1(8))
print('EXPM1 Function - expm1 Value of -5 = ', math.expm1(-5))
 
print('\nLOG Function - logarithmic Value of 5 = ', math.log(5))
print('LOG Function - logarithmic Value of 100 Base 2 = ', math.log(100, 2))
 
print('\nLOG2 Function - logarithmic Value of 120 Base 2 = ', math.log2(120))
 
print('\nLOG10 Function - logarithmic Value of 150 Base 10 = ', math.log2(150))
 
print('\nPOW Function - 2 Power 3 Value = ', math.pow(2, 3))
print('POW Function - 5 Power 4 Value = ', math.pow(5, 4))
 
print('\nSQRT Function - Square Root of 25 = ', math.sqrt(25))
print('SQRT Function - Square Root of 19 = ', math.sqrt(19))

OUTPUT

Python Trigonometric Functions Example 1

In this Python Trigonometric Function example, we are going to use the SIN, COS and TAN functions to find the Sine, Cosine and Tangent Values. Next, we used the ACOS, ASIN, ATAN and ATAN2 functions to find the Arc cosine, Arc Sine and Arc Tangent values. Within the last statement, we used HYPOT function

# Python Trigonometric Functions Examples
 import math
 
print('COS Function - Cosine of 10 = ', math.cos(10))
print('COS Function - Cosine of -15 = ', math.cos(-15))
 
print('\nSIN Function - Sine of 3 = ', math.sin(3))
print('SIN Function - Sine of -5 = ', math.sin(-5))
 
print('\nTAN Function - Tangent of 9 = ', math.tan(9))
print('TAN Function - Tangent of -3 = ', math.tan(-3))
 
print('\nACOS Function - Arc Cosine of 1 = ', math.acos(1))
print('ACOS Function - Arc Cosine of -0.78 = ', math.acos(-0.78))
 
print('\nASIN Function - Arc Sine of 1 = ', math.asin(1))
print('ASIN Function - Arc Sine of -2 = ', math.asin(-0.42))
 
print('\nATAN Function - Arc Tangent of 0.72 = ', math.atan(0.72))
print('ATAN Function - Arc Tangent of -2.71 = ', math.atan(-2.71))

print('\nATAN2 Function - Tangent of 2, 5 = ', math.atan2(2, 5))

print('\nHYPOT Function - Hypot Value of 2, 3 = ', math.hypot(2, 3))

OUTPUT

Python Trigonometric Functions Example 2

In this Python Trigonometric Function example, we are going to use the Hyperbolic functions. First, we used the COSH, SINH and TANH functions to find the Hyperbolic Cosine, Sine and Tangent Values.

Next, we used the ACOSH, ASINH and ATANH functions to find the Hyperbolic Arc cosine, Arc Sine and Hyperbolic Arc Tangent value.

# Python Trigonometric Functions Examples

import math

print('COSH Function - Hyperbolic Cosine of 2 = ', math.cosh(2))
print('COSH Function - Hyperbolic Cosine of -1 = ', math.cosh(-1))
 
print('\nSINH Function - Hyperbolic Sine of 3 = ', math.sinh(3))
print('SINH Function - Hyperbolic Sine of -5 = ', math.sinh(-5))
 
print('\nTANH Function - Hyperbolic Tangent of 1 = ', math.tanh(1))
print('TANH Function - Hyperbolic Tangent of -3 = ', math.tanh(-3))
 
print('\nACOSH Function - Hyperbolic Arc Cosine of 10 = ', math.acosh(10))
print('ACOSH Function - Hyperbolic Arc Cosine of 30.78 = ', math.acosh(30.78))
 
print('\nASINH Function - Hyperbolic Arc Sine of 15 = ', math.asinh(15))
print('ASINH Function - Hyperbolic Arc Sine of -25 = ', math.asinh(-25))
 
print('\nATANH Function - Hyperbolic Arc Tangent of 0.57 = ', math.atanh(0.57))
print('ATANH Function - Hyperbolic Arc Tangent of -0.71 = ', math.atanh(-0.71))

OUTPUT

Python Angular and Special Functions Example

In this Python Angular Functions example, First, we used the DEGREES and RADIANS functions to convert degrees to radians vice versa.

Next, we used the GAMMA and LGAMMA functions to return the gamma values.

# Python Angular and Special Functions Examples
 
import math
 
print('DEGREES Function - Degrees Value of 6 = ', math.degrees(5))
print('DEGREES Function - Degrees Value of 12 = ', math.degrees(12))
 
print('\nRADIANS Function - Radians Value of 350 = ', math.radians(350))
print('\nRADIANS Function - Radians Value of 680 = ', math.radians(680))
 
print('\nGAMMA Function - Gamma Value of 8 = ', math.gamma(8))
print('LGAMMA Function - LGamma Value of 9 = ', math.lgamma(9))

OUTPUT