AWS CloudTrail is the correct service for recording API calls made in your AWS account. It provides event history of your AWS account activity, including actions taken through the AWS Management Console, AWS SDKs, command line tools, and other AWS services. This enables security analysis, resource change tracking, and compliance auditing.

Why other options are incorrect:

• AWS Config: Monitors and records AWS resource configurations and changes, but doesn't record API calls
• AWS Trusted Advisor: Provides best practice recommendations for cost optimization, performance, security, and fault tolerance
• Amazon Inspector: Automated security assessment service that helps improve security and compliance of applications deployed on AWS