cmath.asinh() Method in Python:
The cmath.asinh() method returns a number’s inverse hyperbolic sine.
There are primarily two types of branch cuts:
- Extend from 1j along the imaginary axis to ∞ j to the right.
- Extending from -1j to -∞ j to the left along the imaginary axis
Syntax:
cmath.asinh(x)
Parameters
x: This is Required. The number used to calculate the inverse hyperbolic sine of
Return Value:
Returns a complex value that represents the complex number’s inverse hyperbolic sine.
Examples:
Example1:
Input:
Given Complex Number = 3+4j
Output:
The given complex number's (3+4j) inverse hyperbolic sine value = (2.2999140408792695+0.9176168533514787j)
Example2:
Input:
Given realpart = 5 Given imaginary part = 2
Output:
The given complex number's (5+2j) inverse hyperbolic sine value = (2.3830308809003258+0.374670804825527j)
Note: The above input format is for dynamic input.
cmath.asinh() Method with Examples in Python
Method #1: Using Built-in Functions (Static Input)
Approach:
- Import cmath module(for complex number operations) using the import keyword.
- Give the complex number as static input and store it in a variable.
- Pass the given complex number as an argument to the cmath.asinh() method that returns the given complex number’s inverse hyperbolic sine value.
- Store it in another variable.
- Print the inverse hyperbolic sine value of the given complex number.
- The Exit of the Program.
Below is the implementation:
# Import cmath module(for complex number operations) using the import keyword. import cmath # Give the complex number as static input and store it in a variable. complexnumb = 3+4j # Pass the given complex number as an argument to the cmath.asinh() method that # returns the given complex number's inverse hyperbolic sine value. # Store it in another variable. rslt = cmath.asinh(complexnumb) # Print the inverse hyperbolic sine value of the given complex number. print("The given complex number's", complexnumb, "inverse hyperbolic sine value = ") print(rslt)
Output:
The given complex number's (3+4j) inverse hyperbolic sine value = (2.2999140408792695+0.9176168533514787j)
Method #2: Using Built-in Functions (User Input)
Approach:
- Import cmath module(for complex number operations) using the import keyword.
- Give the real part and imaginary part of the complex number as user input using map(), int(), split().
- Store it in two variables.
- Using a complex() function convert those two variables into a complex number and store it in a variable.
- Pass the given complex number as an argument to the cmath.asinh() method that returns the given complex number’s inverse hyperbolic sine value.
- Store it in another variable.
- Print the inverse hyperbolic sine value of the given complex number.
- The Exit of the Program.
Below is the implementation:
# Import cmath module(for complex number operations) using the import keyword. import cmath # Give the real part and imaginary part of the complex number as user input # using map(), int(), split(). # Store it in two variables. realnumb, imaginarynumb = map(int, input( 'Enter real part and complex part of the complex number = ').split()) # Using a complex() function convert those two variables into a complex number. complexnumb = complex(realnumb, imaginarynumb) # Pass the given complex number as an argument to the cmath.asinh() method that # returns the given complex number's inverse hyperbolic sine value. # Store it in another variable. rslt = cmath.asinh(complexnumb) # Print the inverse hyperbolic sine value of the given complex number. print("The given complex number's", complexnumb, "inverse hyperbolic sine value = ") print(rslt)
Output:
Enter real part and complex part of the complex number = 5 2 The given complex number's (5+2j) inverse hyperbolic sine value = (2.3830308809003258+0.374670804825527j)