Python provides a wide range of built-in mathematical functions and operators. Additionally, the math module offers many useful mathematical functions beyond the basic operations.
Basic Mathematical Operations
Python supports basic arithmetic operations such as addition, subtraction, multiplication, and division.
Explanation:
+: Addition-: Subtraction*: Multiplication/: Division
x
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# Basic arithmetic operations2
a = 103
b = 54
5
print("Addition:", a + b) # Output: 156
print("Subtraction:", a - b) # Output: 57
print("Multiplication:", a * b) # Output: 508
print("Division:", a / b) # Output: 2.0Using the math Module
The math module provides access to various mathematical functions and constants.
Explanation:
math.sqrt(x): Returns the square root ofx.math.pow(x, y): Returnsxraised to the power ofy.math.pi: The mathematical constant π (pi).math.e: The mathematical constant e (Euler’s number).
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1
import math2
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# Using math module functions and constants4
print("Square root of 16:", math.sqrt(16)) # Output: 4.05
print("2 raised to the power of 3:", math.pow(2, 3)) # Output: 8.06
print("Value of pi:", math.pi) # Output: 3.1415926535897937
print("Value of e:", math.e) # Output: 2.718281828459045Trigonometric Functions
The math module includes trigonometric functions for performing calculations involving angles.
Explanation:
math.sin(x): Returns the sine ofx(in radians).math.cos(x): Returns the cosine ofx(in radians).math.tan(x): Returns the tangent ofx(in radians).math.radians(x): Converts degrees to radians.math.degrees(x): Converts radians to degrees.
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11
1
import math2
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# Using trigonometric functions4
angle_degrees = 455
angle_radians = math.radians(angle_degrees)6
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print("Sine of 45 degrees:", math.sin(angle_radians)) # Output: 0.70710678118654768
print("Cosine of 45 degrees:", math.cos(angle_radians)) # Output: 0.70710678118654769
print("Tangent of 45 degrees:", math.tan(angle_radians)) # Output: 1.010
print("45 degrees in radians:", angle_radians) # Output: 0.785398163397448311
print("0.785 radians in degrees:", math.degrees(angle_radians)) # Output: 45.0Logarithmic Functions
The math module also includes logarithmic functions for performing log calculations.
Explanation:
math.log(x): Returns the natural logarithm ofx.math.log10(x): Returns the base-10 logarithm ofx.
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1
import math2
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# Using logarithmic functions4
print("Natural log of 10:", math.log(10)) # Output: 2.3025850929940465
print("Base-10 log of 100:", math.log10(100)) # Output: 2.0Python Math Example Code
Explanation:
- Basic arithmetic operations: Demonstrates addition, subtraction, multiplication, and division.
- Using the
mathmodule: Shows the use of functions and constants in themathmodule. - Trigonometric functions: Uses trigonometric functions for angle calculations.
- Logarithmic functions: Performs logarithmic calculations.
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1
import math2
3
# Basic arithmetic operations4
a = 105
b = 56
7
print("Addition:", a + b) # Output: 158
print("Subtraction:", a - b) # Output: 59
print("Multiplication:", a * b) # Output: 5010
print("Division:", a / b) # Output: 2.011
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# Using math module functions and constants13
print("Square root of 16:", math.sqrt(16)) # Output: 4.014
print("2 raised to the power of 3:", math.pow(2, 3)) # Output: 8.015
print("Value of pi:", math.pi) # Output: 3.14159265358979316
print("Value of e:", math.e) # Output: 2.71828182845904517
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# Using trigonometric functions19
angle_degrees = 4520
angle_radians = math.radians(angle_degrees)21
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print("Sine of 45 degrees:", math.sin(angle_radians)) # Output: 0.707106781186547623
print("Cosine of 45 degrees:", math.cos(angle_radians)) # Output: 0.707106781186547624
print("Tangent of 45 degrees:", math.tan(angle_radians)) # Output: 1.025
print("45 degrees in radians:", angle_radians) # Output: 0.785398163397448326
print("0.785 radians in degrees:", math.degrees(angle_radians)) # Output: 45.027
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# Using logarithmic functions29
print("Natural log of 10:", math.log(10)) # Output: 2.30258509299404630
print("Base-10 log of 100:", math.log10(100)) # Output: 2.0
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