Conversion from infinite product to continued fraction

We use the following formula

     (regular expression)

   in special form

as in 0220.

The infinite products of sinh(x) and cosh(x) are similar to those of sin(x) and cos(x) in 0309.

where they have positive signs inside instead.

For tanh(x), we use tanh(x)=sinh(x)/cosh(x) and the following formula

     (regular expression)

　in special form

For sinh(x) for example directly,