System properties e.g. causality/memory (Signals and Systems)

[TsAmE]

Homework Statement

Determine if the system y(t) = sin(x(t)) is time invariant, linear, causal, and/or memoryless.

Homework Equations

None.

The Attempt at a Solution

The system is time invariant and is non-linear, but I don't understand why it is causal and has memory.

 

[lewando]

The system is time invariant and is non-linear, but I don't understand why it is causal and has memory.

How do you know this? Is the the answer? Do we know anything about x(t)?

 

[lewando]

The output, y(t), does not depend on future values of the input, x(t), so: causal. The output does not depend on past values of the input, so: no memory.