SQL SERVER 2005 Express Login Problems

I have two applications added to a single solution. A Web application and a ClassLibrary which contains the Unit Tests.
From the ClassLibrary I am trying to open the SQL SERVER 2005 Express Database. The database is in the App_Code directory of the Web Application folder.

I have added the App.config file in my class library which has the following credentials.

<connectionStrings>
    <add name="ConnectionString" connectionString="Data Source=MYSERVER;Initial Catalog=MyDatabase;User Id=AZAMSHARP;Password=mypassword;"/>
  </connectionStrings>

Now, when I run the test:
  [Test]
        public void CanOpenDatabaseConnection()
        {
            string connectionString = ConfigurationManager.ConnectionStrings["ConnectionString"].ConnectionString;
            SqlConnection myConnection = new SqlConnection(connectionString);
            myConnection.Open();
            Assert.AreEqual(myConnection.State, ConnectionState.Open);
            myConnection.Close();        
        }
It throws the Exception:

ThingsTODOTestApps.SqlConnectionFixture.CanOpenDatabaseConnection : System.Data.SqlClient.SqlException : Login failed for user 'AZAMSHARP'. Reason: Not associated with a trusted SQL Server connection.

I tried the same connectionString with the WebApps and it worked fine and displayed the results. Any ideas!

PS: AZAMSHARP is my windows authentication account.