Show that the system described by y(t) = sin (x(t)) is nonlinear, time invariant, BIBO stable, static and causal.
What will be an ideal response?
For real-valued arguments, the sine function is confined between -1 and +1.
Therefore y(t) is bounded regardless of whether is bounded or not and the x(t) system is BIBO stable.
The response y at any time depends only on the excitation x at the same time.
Therefore the system is static and causal.
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