Euler Identity in Home

[Han]

For Manolo -- just three simple questions:

1. When a user computes SIN(1.1) on any calculator (or Mathematica or Maple, etc), what should the calculator return? (Assume radian mode)

2. Same question, this time the user enters SIN(1.10) -- same value but with an extra significant digit. What should the returned result be? (Assume radian mode)

3. How should a real number be implemented so that a calculator can know the difference between 1.1 and 1.10 ?