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Números Complexos em Python | Conjunto 3 (Funções Trigonométricas e Hiperbólicas)

Algumas das funções importantes de números complexos são discutidas nos artigos abaixo Números Complexos em Python | Conjunto 1 (Introdução) Números Complexos em Python | Conjunto 2 (funções e constantes importantes) Funções trigonométricas e hiperbólicas são discutidas neste artigo. Funções trigonométricas 1. pecado() : Esta função retorna o deles do número complexo passado no argumento. 2. cos() : Esta função retorna o cosseno do número complexo passado no argumento. 3. bronzeado() : Esta função retorna o tangente of the complex number passed in argument. Python 
# 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(xy); # 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. sal() : Esta função retorna o arco senoidal do número complexo passado no argumento. 5. acos() : Esta função retorna o arco cosseno do número complexo passado no argumento. 6. atan() : Esta função retorna o arco tangente of the complex number passed in argument. Python 
# 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(xy); # 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)

Funções Hiperbólicas 1. nascimento() : Esta função retorna o seno hiperbólico do número complexo passado no argumento. 2. cosh() : Esta função retorna o cosseno hiperbólico do número complexo passado no argumento. 3. tanh() : Esta função retorna o tangente hiperbólica of the complex number passed in argument. Python 
# 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(xy); # 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() : Esta função retorna o seno hiperbólico inverso do número complexo passado no argumento. 5. acosh() : Esta função retorna o cosseno hiperbólico inverso do número complexo passado no argumento. 6. atanh() : Esta função retorna o tangente hiperbólica inversa of the complex number passed in argument. Python 
# 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(xy); # 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)