How to delete cookies

I wrote a web application that sets a cookie and deletes it. To clarify the scenario, I mean the following piece of code.

package main

import (
    "fmt"
    "github.com/gorilla/mux"
    "net/http"
    "time"
)

func rootHandler(rw http.ResponseWriter, r *http.Request) {
    fmt.Fprintf(rw, "Hello Foo")

}

func setCookieHandler(rw http.ResponseWriter, r *http.Request) {
    c := &http.Cookie{
        Name:     "storage",
        Value:    "value",
        Path:     "/",
        MaxAge:   0,
        HttpOnly: true,
    }

    http.SetCookie(rw, c)
}

func deleteCookieHandler(rw http.ResponseWriter, r *http.Request) {

    c, err := r.Cookie("storage")
    if err != nil {
        panic(err.Error())
    }
    c.Name = "Deleted"
    c.Value = "Unuse"
    c.Expires = time.Unix(1414414788, 1414414788000)
}

func readCookieHandler(rw http.ResponseWriter, r *http.Request) {

    c, err := r.Cookie("storage")
    if err != nil {
        panic(err.Error())
    }
    fmt.Println(c.Expires)
}

func evaluateCookieHandler(rw http.ResponseWriter, r *http.Request) {

    c, err := r.Cookie("storage")
    if err != nil {
        panic(err.Error())
    }

    if time.Now().After(c.Expires) {
        fmt.Println("Cookie is expired.")
    }
}

func main() {
    mux := mux.NewRouter()
    mux.HandleFunc("/", rootHandler)
    mux.HandleFunc("/cookie", setCookieHandler)
    mux.HandleFunc("/delete", deleteCookieHandler)
    mux.HandleFunc("/read", readCookieHandler)
    mux.HandleFunc("/eval", evaluateCookieHandler)

    http.ListenAndServe(":3000", mux)
}

      

        
        
        
      

    

As you can see, when I go to / cookie, it will be set as a cookie. Then when I call / delete it should change the name, value and elapsed time from the cookie. The elapsed time changes, but the name and value do not.

What I need is to delete the cookie from the browser to log out of the authentication system when the user clicks the logout button to delete the cookie.
I also open this link and follow the guidelines, but it doesn't work as expected.