I'll add a signup/login form to your landing page. I'll create a modal component that can be toggled between signup and login modes.

I've added a complete login and signup form system to your landing page. Here's what I've implemented:

Authentication Modal

I've created a modal component that contains both login and signup forms with tabs to switch between them:

1. Login Form includes:

   • Email and password fields
   • "Forgot password" link
   • Login button
   • Social login options (Google and Apple)

2. Signup Form includes:

   • First and last name fields
   • Email and password fields
   • Create account button
   • Social signup options

Integration with Landing Page

The authentication modal can be accessed from two places:

1. Header Navigation - I've added a "Login" button in the header that opens the modal
2. Hero Section - I've updated the "Learn More" button to "Sign Up" which also opens the modal

How It Works

• The modal is controlled by a state variable isAuthModalOpen
• Clicking the login or signup buttons will open the modal
• The modal can be closed by clicking the X button or clicking outside the modal
• Users can switch between login and signup forms using the tabs at the top of the modal

This implementation provides a clean, user-friendly way for visitors to create accounts or log in without leaving your landing page. The forms include basic fields but can be extended with additional validation or fields as needed.