Bypass form-based authentication

What are the ways to bypass form-based and basic authentication ?

I have an app A from which I want to access another web app B (running on a different machine). (I can hard-code the username/password of B if required , high security is not an issue, seamless accesibility is required of B fom A).

Can anyone suggest some solutions.

Thanks
Kawa

Before I suggest you my option, I assume that, you want to login to App B from App A as same user. If my assumption is true, first thing you need to look at is Cookies.
Which application server are you using?. I have supported similar functionality on weblogic. To understand more how you can use Cookies, You can read this page. Let me know your conclusion after reading below page.

http://e-docs.bea.com/wls/docs61/webapp/security.html
http://e-docs.bea.com/wls/docs81/security/thin_client.html#1039551

Even if you are not using weblogic as application server, above document will give you an idea about how to do this. Let me knowhow it goes.