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Finding the Inverse Hyperbolic Tangent of Complex Number in Golang
In mathematics, the inverse hyperbolic tangent or inverse tanh of a complex number is defined as the inverse function of the hyperbolic tangent function. In Golang, this function can be implemented using the cmplx.Atanh() function.
Syntax
The syntax for finding the inverse hyperbolic tangent of a complex number is as follows −
func Atanh(z complex128) complex128
Here, z is the complex number whose inverse hyperbolic tangent is to be calculated, and the function returns the inverse hyperbolic tangent of the complex number in the form of a complex128 value.
Example 1
Let's say we have a complex number z = 3 + 4i. We can find the inverse hyperbolic tangent of this complex number using the cmplx.Atanh() function.
package main
import (
"fmt"
"math/cmplx"
)
func main() {
// Creating a complex number
z := complex(3, 4)
// Finding the inverse hyperbolic tangent of the complex number
atanh := cmplx.Atanh(z)
// Displaying the result
fmt.Println("Inverse Hyperbolic Tangent of", z, "is", atanh)
}
Output
Inverse Hyperbolic Tangent of (3+4i) is (0.1175009073114339+1.4099210495965755i)
Example 2
Let's say we have a complex number z = -5 - 12i. We can find the inverse hyperbolic tangent of this complex number using the cmplx.Atanh() function.
package main
import (
"fmt"
"math/cmplx"
)
func main() {
// Creating a complex number
z := complex(0, 1)
// Finding the inverse hyperbolic tangent of the complex number
atanh := cmplx.Atanh(z)
// Displaying the result
fmt.Println("Inverse Hyperbolic Tangent of", z, "is", atanh)
}
Output
Inverse Hyperbolic Tangent of (0+1i) is (0+0.7853981633974483i)
Conclusion
In this article, we have learned about finding the inverse hyperbolic tangent of a complex number in Golang using the cmplx.Atanh() function. We have also seen some examples to understand its implementation.
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