Finding the Cosine of Complex Number in Golang

The cosine function is a trigonometric function that is used to determine the ratio of the adjacent and hypotenuse sides of a right triangle. When dealing with complex numbers, the cosine function is used to determine the real part of a complex number.

In Golang, the math/cmplx package provides various mathematical functions for complex numbers, including the cosine function. In this article, we will explore how to find the cosine of a complex number in Golang.

Syntax

The syntax to find the cosine of a complex number in Golang is as follows −

cosine := cmplx.Cos(complexNumber)

Where −

• Cosine is the real part of the complex number.

• complexNumber is the complex number whose cosine is to be found.

Example 1

Let's find the cosine of a complex number (3+4i) using the cmplx.Cos() function in Golang.

package main

import (
   "fmt"
   "math/cmplx"
)

func main() {
   complexNumber := complex(3, 4)
   cosine := cmplx.Cos(complexNumber)
   fmt.Printf("The cosine of %v is %v", complexNumber, cosine)
}

Output

The cosine of (3+4i) is (-27.034945603074224-3.851153334811777i)

Example 2

Now let's find the cosine of a different complex number (1+2i) using the cmplx.Cos() function.

package main

import (
   "fmt"
   "math/cmplx"
)

func main() {
   complexNumber := complex(1, 2)
   cosine := cmplx.Cos(complexNumber)
   fmt.Printf("The cosine of %v is %v", complexNumber, cosine)
}

Output

The cosine of (1+2i) is (2.0327230070196656-3.0518977991518i)

Example 3

Let's find the cosine of another complex number (-2+3i) using the cmplx.Cos() function.

package main

import (
   "fmt"
   "math/cmplx"
)

func main() {
   complexNumber := complex(-2, 3)
   cosine := cmplx.Cos(complexNumber)
   fmt.Printf("The cosine of %v is %v", complexNumber, cosine)
}

Output

The cosine of (-2+3i) is (-4.189625690968807+9.109227893755337i)

Conclusion

The cosine of a complex number is the real part of that complex number. In Golang, we can use the cmplx.Cos() function to find the cosine of a complex number. The cmplx.Cos() function takes a complex number as input and returns the real part of the corresponding cosine value. We can use the cmplx package to perform various mathematical operations on complex numbers in Golang.