Add your Facebook page to your App using the Facebook Tab. This Tab will automatically pull content dynamically from your Facebook page and present it to the user.
Please note: The Facebook page feed must be set to "public" for your App to be able to display it.
Go to the Manage Tabs section, then the "Media" category and add the Facebook Tab.
This will bring up the Tab Editor.
Click Continue, enter your Facebook page URL and click Save.
Alternatively, you could use an External Link Tab to show your Facebook page.
The App user will be able to sign in to their Facebook account and "Like" your Facebook page from directly in the App.