Explain this architecture with an example where X$1$ and Y$1$:

$$ Inputs: X$0=1,$ Y$0=0$

$$ Process:

$$ Depending on the sign of $\backslash$theta $0,$ compute:

$$ X$1=$X$0$cosh$(21)+$Y$0$sinh$(21)$

$$ Y$1=$Y$0$cosh$(21)+$X$0$sinh$(21)$

$$

Outputs: New values X$1,$Y$1$ Adjust $\backslash$theta $0$ to $\backslash$theta $1$:

$$ Input: $\backslash$theta $0=0\mathrm{.}5236$

$$ Process: Adjust angle $\backslash$theta $0$ based on $21$

$$ Output: New angle $\backslash$theta $1$

please solve this problem