Finding the Hyperbolic Sine of Complex Number in Golang

Go language provides inbuilt support for basic constants and mathematical functions for complex numbers with the help of the cmplx package. You are allowed to find the hyperbolic sine of the specified complex number with the help of Sinh() function provided by the math/cmplx package. So, you need to add a math/cmplx package in your program with the help of the import keyword to access the Sinh() function.

Syntax:

func Sinh(y complex128) complex128

Let us discuss this concept with the help of the given examples:

Example 1:

// Golang program to illustrate how to find the
// hyperbolic sine of the specified complex number
package main

import (
    "fmt"
    "math/cmplx"
)

// Main function
func main() {

    // Finding hyperbolic sine of
    // the specified complex number
    // Using Sinh() function
    res_1 := cmplx.Sinh(1 + 5i)
    res_2 := cmplx.Sinh(-2 + 8i)
    res_3 := cmplx.Sinh(-1 - 2i)

    // Displaying the result
    fmt.Println("Result 1:", res_1)
    fmt.Println("Result 2:", res_2)
    fmt.Println("Result 3:", res_3)
}

Output:

Result 1: (0.33336013894799293-1.4796974784869428i)
Result 2: (0.5277083119608631+3.722159332384543i)
Result 3: (0.4890562590412937-1.4031192506220405i)

Example 2:

// Golang program to illustrate how to find the
// hyperbolic sine of the specified complex number
package main

import (
    "fmt"
    "math/cmplx"
)

// Main function
func main() {

    cnumber_1 := complex(0, 2)
    cnumber_2 := complex(4, 6)

    // Finding hyperbolic sine
    cvalue_1 := cmplx.Sinh(cnumber_1)
    cvalue_2 := cmplx.Sinh(cnumber_2)

    // Sum of two hyperbolic sine values
    res := cvalue_1 + cvalue_2

    // Displaying results
    fmt.Println("Complex Number 1: ", cnumber_1)
    fmt.Println("Hyperbolic sine 1: ", cvalue_1)

    fmt.Println("Complex Number 2: ", cnumber_2)
    fmt.Println("Hyperbolic sine 2: ", cvalue_2)
    fmt.Println("Sum : ", res)

}

Output:

Complex Number 1:  (0+2i)
Hyperbolic sine 1:  (-0+0.9092974268256816i)
Complex Number 2:  (4+6i)
Hyperbolic sine 2:  (26.202967617830907-7.630343482807812i)
Sum :  (26.202967617830907-6.72104605598213i)