wininet internetsetcookie,internetgetcookie

Hi Guys,
I have a client which authenticates with a https server gets a cookie
and i use internetsetcookie to set the cookie.Now i would start a I.E
window through webbrowser controls Navigate method with targetframe as
_blank and navigate to the same domain where i got authenticated
before through the client.Would my browser take the cookie that was
set by me through internetsetcookie and send it to the requested url?

Thanks
Thilak Raj S