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>When connected, my Trezor address is 0x179fcbd4958DE937127DEA7511960f26074b0eDA
This is your hardware Trezor address (your account with your crypto).
If it’s asking you to verify it it’s asking you to make sure this is always the SAME address (for your ETH Trezor wallet). You should copy this public address both virtually and physically and make sure all the characters are exactly the same when depositing coin into the address.
Because if the address is different you can lose whatever you’re sending. You could be sending it to a different address and you’ll never know who got that coin and be gone forever.
There are plenty of stories of people who have sent crypto to the wrong address and lost it. They were trying to send it to themselves but the address was wrong.
Edit: it may be different because the Trezor is not connected. So if you’re using metamask it may have switch it to the Metamask ETH Wallet tab.
You don’t have to have the Trezor connected to send coin to it. As long as the Trezor address is EXACTLY the same you’ll be fine.