Signal Analysis - Invertibility

[FrogPad]

I don't understand why my book is saying that this system is not invertible.

y(t) = cos(x(t))

?

Wouldn't, arccos{ y(t) } = x(t) and therefore be an inverse system?

 

[jing]

First check on what your book says the definition of invertible is.

What about times T1 and T2, where T1 and T2 are different

x(T1) = 0, x(T2)= 2PI

y(T1) = 1 and y(T2)=1

Suppose

y(t)=1 what is the value of t?