As the name suggests Trusted Advisor will advise you about your AWS Account. Following are some of the concerning areas:
· Cost Optimization
· Fault Tolerance
· Service Limits
It will help you understand various problems you may with while using AWS.
Now lets try and understand the other term:
Amazon Inspector checks the configuration of EC2 instances. This is what the agent does:
· Runs and checks operating system patches
Checks known vulnerabilities & common issues.
You can learn more from the AWS Certification Training.