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 Python math properties as math.PI and functions as math.abs(number).
Python math Object Properties
The list of Properties or Constants available in Python math library.
| Python math Properties | Description |
|---|---|
| math.e | It returns the Euler’s Number e, approximately equal to 2.71828 |
| math.pi | It returns the Pie Value, approximately equal to 3.14 |
| math.inf | This Python math property returns the Positive Infinity. You can use -Math.INF to return the Negative Infinity. |
| math.nan | It returns Not A Number as output |
Python math Functions
The list of mathematical Functions available in Python math Library
| Python math Functions | Description |
|---|---|
| ceil(x) | It returns the smallest integer, which is greater than or equal to the specified expression or a number. |
| copysign(x) | This python math function finds the Absolute value of the first argument. It returns the absolute value along with the sign specified in the second argument. |
| fabs(x) | Absolute value of a Given number |
| factorial(x) | It finds the factorial of a specified expression or a specific number. |
| floor(x) | Largest integer value, which is less than or equal to the specified number. |
| fmod(x, y) | This python math function calculates the Module of the specified given arguments. |
| frexp(x) | This function returns the mantissa and exponent of x, as pair (m, e) where m is a float value, and e is an integer value. |
| fsum(Iterable) | Calculates and returns the sum of iterates (Tuples and Lists) |
| gcd(x, y) | This python math function returns the greatest common divisor of two given arguments. |
| isclose(x, y) | This function return TRUE, If the two arguments are close to each other, otherwise it returns FALSE |
| isfinite(x) | Used to check whether the given number/expression is neither Infinity (both Positive or Negative) nor NaN. It returns TRUE If the given number is neither Infinity nor NaN (Not a Number) otherwise FALSE. |
| isinf(x) | Checks whether the given number is Infinity (both Positive or Negative) or not. It returns TRUE If the number is Infinity otherwise FALSE |
| isnan(x) | This python math function checks whether the given number is NaN (Not a Number) or not. It returns TRUE if the given number is NaN otherwise FALSE |
| round(x) | It is a regular built-in function (not a Math library function). It round the specified expression or a specific number to the nearest integer. |
| ldexp(x, i) | It returns x * (2**i). It also called inverse of Python frexp function. |
| modf(x) | This python math function divides the given value into two arguments: Fractional Part as the first argument and integer value as the second argument. |
| trunc(x) | It removes the decimal values from the specified expression and returns the integer value |
Python Power and Logarithmic Functions
The following functions are the list of Power and logarithmic functions available in Python math Library.
| Power and Logarithmic Functions | Description |
|---|---|
| exp(x) | It calculates the power of E, Where E is Euler’s number approximately equal to 2.71828. |
| expm1(x) | It calculates the power of E (Where E is Euler’s number approximately equal to 2.71828) and subtracts one from it. |
| log(x, base) | This Python Power and logarithmic math function find the log value of a number with base E. |
| log2(x) | Logarithmic value of number with base E. |
| log10(x) | Logarithmic value of a given number with base E. |
| pow(x) | This Python Power and logarithmic function calculate the Power of the specified expression |
| sqrt(x) | Square root of a specified Python expression or an individual number |
Python Trigonometric Functions
The following functions are the list of Trigonometric functions available in Python math Library.
| Trigonometric Functions | Description |
|---|---|
| acos(x) | It returns the Arc Cosine value of a given number |
| asin(x) | This Python Trigonometric function returns the Arc Sine value of a given number |
| atan(x) | Arc Tangent value of a number |
| atan2(y, x) | It returns the angle (in radius) from the X-Axis to the specified point (y, x). |
| cos(x) | This Python Trigonometric function returns the Cosine value of a number |
| hypot(x, y) | It extracts the characters from a string based on the specified indices |
| sin(x) | Sine value of a given number |
| tan(x) | Tangent value of a given number |
Python Hyperbolic Functions
The Python Hyperbolic Functions are trigonometric functions which allow us to perform the following math functions on Hyperbolic, instead of Circles.
| Hybrbolic Functions | Description |
|---|---|
| acosh(x) | It returns the Hyperbolic Arc Cosine (inverse Hyperbolic Cosine) value of a given number |
| asinh(x) | This Python Hyperbolic math Function returns the Hyperbolic Arc Sine (inverse Hyperbolic Sine) value of a given number |
| atanh(x) | Hyperbolic Arc Tangent (inverse Hyperbolic Tangent) value of a given number |
| cosh(x) | Hyperbolic Cosine value of a given number |
| sinh(x) | This Python Hyperbolic Function returns the Hyperbolic Sine value of a given number |
| tanh(x) | Hyperbolic Tangent value of a given number |
Python Angular Functions
The following functions are the list of Angular functions available in Python math Library.
| Angular Functions | Description |
|---|---|
| degrees(x) | It convert the specified angle from Radians to Degrees. |
| radians(x) | This Python Angular function converts the specified angle from Degrees to Radians. |
Python Special Functions
The following functions are the list of Special functions available in Python math Library.
| Special Functions | Description |
|---|---|
| erf(x) | It returns the error function at a specified value. |
| erfc(x) | This Python Special function returns the complementary error function at a specified value. OR we can simply say, 1 – erf(x) |
| gamma(x) | It returns the Gamma function at a specified value. |
| lgamma(x) | This Python Special function returns the Natural Logarithm of the Gamma function at a specified value. |
Python math Functions Examples
The following examples help you to understand these math or mathematical functions in Python
Python math constants Example
In this Python Mathematical constants example, we 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)
Python math constants output
pi Constant - Pi Value = 3.141592653589793
pi Constant - Degrees of Pi Value = 180.0
e Constant - e Value = 3.141592653589793
e Constant - Degrees of e Value = 155.74607629780772
tau Constant - tau Value = 6.283185307179586
tau Constant - Degrees of tau Value = 360.0
inf Constant - Positive Infinity = inf
inf Constant - Negative Infinity = -inf
NaN Constant - Not a Number = nanPython math Functions Example 1
In this Python math or 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 Python ceil and floor function to find the Ceiling and Floor values. Within the last statement, we used the factorial function to find the factorial of a given value.
# 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))
Python math Functions output
FABS Function - Absolute Value of z = 40.95
FABS Function - Absolute Value of -124.897 = 124.897
copysign Function - copysign Value of x, z = -10.98
copysign Function - copysign Value of z, x = 40.95
CEIL Function - Ceiling Value of x = 11
CEIL Function - Ceiling Value of y = 31
FLOOR Function - Floor Value of x = 10
FLOOR Function - Floor Value of y = 30
Factorial Function - Factorial of 3 = 6
Factorial Function - Factorial of 5 = 120Python 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))
Python math Functions output
FMOD Function - Mod Value of 2 and 3 = 2.0
FMOD Function - Mod Value of 225.55 and 5.5 = 2.5500000000000114
FREXP Function - Mantissa and Exponent Value of 5 = (0.625, 3)
FREXP Function - Mantissa and Exponent Value of -9 = (-0.5625, 4)
FSUM Function - Sum of Tuple Items = 100.0
FSUM Function - Sum of List Items = 71.0
GCD Function - GCD of two Value of 10 and 2 = 2
GCD Function - GCD of two Value of 100 and 15 = 5Python Mathematical Functions Example 3
In this Python math Functions example, we used round, ldexp, mode, 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))
Python Mathematical Functions output
ROUND Function - Rounded Value 100.98763 = 100.99
ROUND Function - Rounded Value 125.932832 = 125.933
LDEXP Function - LDEXP (FREXP inverse) Value of 4, 5 = 128.0
LDEXP Function - LDEXP (FREXP inverse) Value of -9, 2 = -36.0
MODF Function - Modf (Divided 1 to 2) Value of 100 = (0.0, 100.0)
MODF Function - Modf (Divided 1 to 2) Value of 120.98 = (0.980000000000004, 120.0)
TRUNC Function - Truncated Value 100.98763 = 100
ROUND Function - Truncated Value 125.932832 = -125
REMAINDER Function - Remainder of 29 and 5 = 0.0
REMAINDER Function - Remainder of 10 and 3 = 1.0Python Logarithmic Functions Example
In this Python Logarithmic Function example, we use the exp, expm1 to get exp values. Next, we used the log, log2, and log10 functions to get the natural logarithmic value, base 2 Logarithmic value. And base 10 logarithmic value. Then we used the pow to find x raised to the 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))
Python Logarithmic Functions output
EXP Function - exp Value of 5 = 148.4131591025766
EXP Function - exp Value of -3 = 0.049787068367863944
EXPM1 Function - expm1 Value of 8 = 2979.9579870417283
EXPM1 Function - expm1 Value of -5 = -0.9932620530009145
LOG Function - logarithmic Value of 5 = 1.6094379124341003
LOG Function - logarithmic Value of 100 Base 2 = 6.643856189774725
LOG2 Function - logarithmic Value of 120 Base 2 = 6.906890595608519
LOG10 Function - logarithmic Value of 150 Base 10 = 7.22881869049588
POW Function - 2 Power 3 Value = 8.0
POW Function - 5 Power 4 Value = 625.0
SQRT Function - Square Root of 25 = 5.0
SQRT Function - Square Root of 19 = 4.358898943540674Python 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 the 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))
Python Trigonometric Functions output
COS Function - Cosine of 10 = -0.8390715290764524
COS Function - Cosine of -15 = -0.7596879128588212
SIN Function - Sine of 3 = 0.1411200080598672
SIN Function - Sine of -5 = 0.9589242746631385
TAN Function - Tangent of 9 = -0.4523156594418099
TAN Function - Tangent of -3 = 0.1425465430742778
ACOS Function - Arc Cosine of 1 = 0.0
ACOS Function - Arc Cosine of -0.78 = 2.4654621440291318
ASIN Function - Arc Sine of 1 = 1.5707963267948966
ASIN Function - Arc Sine of -2 = -0.43344532006988595
ATAN Function - Arc Tangent of 0.72 = 0.6240230529767569
ATAN Function - Arc Tangent of -2.71 = -1.2172930308235297
ATAN2 Function - Tangent of 2, 5 = 0.3805063771123649
HYPOT Function - Hypot Value of 2, 3 = 3.6055512754639896Python Trigonometric Functions Example 2
In this Python Trigonometric Function example, we use the Hyperbolic functions. First, we used the cosh, sinh, and tanh functions to find the Hyperbolic Cosine, Sine, and Tangent Values. Next, 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))
Python Hyperbolic Trigonometric Functions output
COSH Function - Hyperbolic Cosine of 2 = 3.7621956910836314
COSH Function - Hyperbolic Cosine of -1 = 1.5430806348152437
SINH Function - Hyperbolic Sine of 3 = 10.017874927409903
SINH Function - Hyperbolic Sine of -5 = -74.20321057778875
TANH Function - Hyperbolic Tangent of 1 = 0.7615941559557649
TANH Function - Hyperbolic Tangent of -3 = -0.9950547536867305
ACOSH Function - Hyperbolic Arc Cosine of 10 = 2.993222846126381
ACOSH Function - Hyperbolic Arc Cosine of 30.78 = 4.119748326708938
ASINH Function - Hyperbolic Arc Sine of 15 = 3.4023066454805946
ASINH Function - Hyperbolic Arc Sine of -25 = -3.9124227656412556
ATANH Function - Hyperbolic Arc Tangent of 0.57 = 0.6475228448273728
ATANH Function - Hyperbolic Arc Tangent of -0.71 = -0.8871838632580928Python Angular and Special Functions Example
In this Python Angular Functions example, 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))
