Explain the Python Math with example.

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Gulab · Answer

1. Basic Arithmetic in Python
Python can perform basic mathematical operations directly using arithmetic operators:
Operator
Description
Example
Output
+
Addition
5 + 3
8
-
Subtraction
9 - 4
5
*
Multiplication
7 * 6
42
/
Division (float)
8 / 2
4.0
//
Floor Division
7 // 2
3
%
Modulus (remainder)
10 % 3
1
**
Exponentiation
2 ** 3
8
2. Math with the math Module
Python has a built-in math module for more advanced mathematical functions.
You first need to import it:
import math
Here are the main features:
Common Math Functions
Function
Description
Example
Output
math.sqrt(x)
Square root
math.sqrt(16)
4.0
math.pow(x, y)
Power
math.pow(2, 3)
8.0
math.ceil(x)
Round up
math.ceil(3.2)
4
math.floor(x)
Round down
math.floor(3.8)
3
math.fabs(x)
Absolute value
math.fabs(-5.6)
5.6
math.factorial(x)
Factorial
math.factorial(5)
120
math.fmod(x, y)
Modulus
math.fmod(10, 3)
1.0
3. Trigonometric Functions
The math module supports trigonometry (angles in radians, not degrees).
Function
Description
Example
math.sin(x)
Sine
math.sin(math.pi/2) → 1.0
math.cos(x)
Cosine
math.cos(0) → 1.0
math.tan(x)
Tangent
math.tan(math.pi/4) → 1.0
math.asin(x)
Inverse sine
math.asin(1) → 1.5708
math.degrees(x)
Convert radians → degrees
math.degrees(math.pi) → 180.0
math.radians(x)
Convert degrees → radians
math.radians(180) → 3.14159
4. Logarithmic and Exponential Functions
Function
Description
Example
Output
math.exp(x)
e raised to power x
math.exp(2)
7.389
math.log(x)
Natural log (base e)
math.log(10)
2.302
math.log10(x)
Log base 10
math.log10(1000)
3.0
math.log2(x)
Log base 2
math.log2(8)
3.0
5. Constants
The math module provides useful constants:
Constant
Description
Example Output
math.pi
π (3.14159...)
3.141592653589793
math.e
e (2.71828...)
2.718281828459045
math.inf
Infinity
math.inf
math.nan
Not-a-Number
math.nan
6. Rounding and Comparison
Function
Description
Example
round(x, n)
Round to n decimal places
round(3.14159, 2) → 3.14
math.isfinite(x)
Check if finite
math.isfinite(100) → True
math.isnan(x)
Check if NaN
math.isnan(float('nan')) → True
Example Program
import math
radius = 5
area = math.pi * math.pow(radius, 2)
print("Area of circle:", area)
angle_deg = 45
angle_rad = math.radians(angle_deg)
print("Sine of 45°:", math.sin(angle_rad))
print("Log base 10 of 1000:", math.log10(1000))
print("Ceiling of 3.14:", math.ceil(3.14))
Output:
Area of circle: 78.53981633974483
Sine of 45°: 0.7071067811865475
Log base 10 of 1000: 3.0
Ceiling of 3.14: 4

Operator	Description	Example	Output
`+`	Addition	`5 + 3`	`8`
`-`	Subtraction	`9 - 4`	`5`
`*`	Multiplication	`7 * 6`	`42`
`/`	Division (float)	`8 / 2`	`4.0`
`//`	Floor Division	`7 // 2`	`3`
`%`	Modulus (remainder)	`10 % 3`	`1`
`**`	Exponentiation	`2 ** 3`	`8`

Function	Description	Example	Output
`math.sqrt(x)`	Square root	`math.sqrt(16)`	`4.0`
`math.pow(x, y)`	Power	`math.pow(2, 3)`	`8.0`
`math.ceil(x)`	Round up	`math.ceil(3.2)`	`4`
`math.floor(x)`	Round down	`math.floor(3.8)`	`3`
`math.fabs(x)`	Absolute value	`math.fabs(-5.6)`	`5.6`
`math.factorial(x)`	Factorial	`math.factorial(5)`	`120`
`math.fmod(x, y)`	Modulus	`math.fmod(10, 3)`	`1.0`

Function	Description	Example
`math.sin(x)`	Sine	`math.sin(math.pi/2)` → `1.0`
`math.cos(x)`	Cosine	`math.cos(0)` → `1.0`
`math.tan(x)`	Tangent	`math.tan(math.pi/4)` → `1.0`
`math.asin(x)`	Inverse sine	`math.asin(1)` → `1.5708`
`math.degrees(x)`	Convert radians → degrees	`math.degrees(math.pi)` → `180.0`
`math.radians(x)`	Convert degrees → radians	`math.radians(180)` → `3.14159`

Function	Description	Example	Output
`math.exp(x)`	e raised to power x	`math.exp(2)`	`7.389`
`math.log(x)`	Natural log (base e)	`math.log(10)`	`2.302`
`math.log10(x)`	Log base 10	`math.log10(1000)`	`3.0`
`math.log2(x)`	Log base 2	`math.log2(8)`	`3.0`

Constant	Description	Example Output
`math.pi`	π (3.14159...)	`3.141592653589793`
`math.e`	e (2.71828...)	`2.718281828459045`
`math.inf`	Infinity	`math.inf`
`math.nan`	Not-a-Number	`math.nan`

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Explain the Python Math with example.

Gulab

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1 Answers

1. Basic Arithmetic in Python

2. Math with the `math` Module

Common Math Functions

3. Trigonometric Functions

4. Logarithmic and Exponential Functions

5. Constants

6. Rounding and Comparison

Example Program

Liked By

Function	Description	Example
`round(x, n)`	Round to n decimal places	`round(3.14159, 2)` → `3.14`
`math.isfinite(x)`	Check if finite	`math.isfinite(100)` → `True`
`math.isnan(x)`	Check if NaN	`math.isnan(float('nan'))` → `True`