Some of the Important Complex number functions are discussed in the articles below
Complex Numbers in Python | Set 1 (Introduction)
Complex Numbers in Python | Set 2 (Important Functions and constants)
Trigonometric and Hyperbolic Functions are discussed in this article.
Trigonometric Functions
1. sin() : This function returns the sine of the complex number passed in argument.
2. cos() : This function returns the cosine of the complex number passed in argument.
3. tan() : This function returns the tangent of the complex number passed in argument.
# Python code to demonstrate the working of # sin(), cos(), tan() # importing "cmath" for complex number operations import cmath # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z z = complex(x,y); # printing sine of the complex number print ("The sine value of complex number is : ",end="") print (cmath.sin(z)) # printing cosine of the complex number print ("The cosine value of complex number is : ",end="") print (cmath.cos(z)) # printing tangent of the complex number print ("The tangent value of complex number is : ",end="") print (cmath.tan(z)) |
Output:
The sine value of complex number is : (1.2984575814159773+0.6349639147847361j) The cosine value of complex number is : (0.8337300251311491-0.9888977057628651j) The tangent value of complex number is : (0.2717525853195118+1.0839233273386946j)
4. asin() : This function returns the arc sine of the complex number passed in argument.
5. acos() : This function returns the arc cosine of the complex number passed in argument.
6. atan() : This function returns the arc tangent of the complex number passed in argument.
# Python code to demonstrate the working of # asin(), acos(), atan() # importing "cmath" for complex number operations import cmath # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z z = complex(x,y); # printing arc sine of the complex number print ("The arc sine value of complex number is : ",end="") print (cmath.asin(z)) # printing arc cosine of the complex number print ("The arc cosine value of complex number is : ",end="") print (cmath.acos(z)) # printing arc tangent of the complex number print ("The arc tangent value of complex number is : ",end="") print (cmath.atan(z)) |
Output:
The arc sine value of complex number is : (0.6662394324925153+1.0612750619050357j) The arc cosine value of complex number is : (0.9045568943023814-1.0612750619050357j) The arc tangent value of complex number is : (1.0172219678978514+0.40235947810852507j)
Hyperbolic Functions
1. sinh() : This function returns the hyperbolic sine of the complex number passed in argument.
2. cosh() : This function returns the hyperbolic cosine of the complex number passed in argument.
3. tanh() : This function returns the hyperbolic tangent of the complex number passed in argument.
# Python code to demonstrate the working of # sinh(), cosh(), tanh() # importing "cmath" for complex number operations import cmath # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z z = complex(x,y); # printing hyperbolic sine of the complex number print ("The hyperbolic sine value of complex number is : ",end="") print (cmath.sinh(z)) # printing hyperbolic cosine of the complex number print ("The hyperbolic cosine value of complex number is : ",end="") print (cmath.cosh(z)) # printing hyperbolic tangent of the complex number print ("The hyperbolic tangent value of complex number is : ",end="") print (cmath.tanh(z)) |
Output:
The hyperbolic sine value of complex number is : (0.6349639147847361+1.2984575814159773j) The hyperbolic cosine value of complex number is : (0.8337300251311491+0.9888977057628651j) The hyperbolic tangent value of complex number is : (1.0839233273386946+0.2717525853195117j)
4. asinh() : This function returns the inverse hyperbolic sine of the complex number passed in argument.
5. acosh() : This function returns the inverse hyperbolic cosine of the complex number passed in argument.
6. atanh() : This function returns the inverse hyperbolic tangent of the complex number passed in argument.
# Python code to demonstrate the working of # asinh(), acosh(), atanh() # importing "cmath" for complex number operations import cmath # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z z = complex(x,y); # printing inverse hyperbolic sine of the complex number print ("The inverse hyperbolic sine value of complex number is : ",end="") print (cmath.asinh(z)) # printing inverse hyperbolic cosine of the complex number print ("The inverse hyperbolic cosine value of complex number is : ",end="") print (cmath.acosh(z)) # printing inverse hyperbolic tangent of the complex number print ("The inverse hyperbolic tangent value of complex number is : ",end="") print (cmath.atanh(z)) |
Output:
The inverse hyperbolic sine value of complex number is : (1.0612750619050357+0.6662394324925153j) The inverse hyperbolic cosine value of complex number is : (1.0612750619050357+0.9045568943023813j) The inverse hyperbolic tangent value of complex number is : (0.40235947810852507+1.0172219678978514j)
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