With the information given, my opinion about a spouse who wants to know what the other does every time he/she steps outside the home is that this spouse has no business being in an adult relationship - let alone a marriage.
But what if things only LATELY took a major change?
And that the spouse, as someone else said, was just starting to do some really odd things?
Things were good before, communication always open, never a feeling of mistrust, never an odd behavior..
but all of a sudden.. ?
Im gathering that English is NOT the OP's first language so the question comes off rather harsh, but the general idea is that there is something going on and the OP is not sure how to handle it. And which idea would be best to get to the bottom of his situation.