ive had to do this twice, done it 2 different ways.
1) if its something you can buy in the shops eg a yale system then you can probably download the installation manual which will tell you the master reset proceedure so you can then just disconnect wires without tamper alarm going off for ages (it will go off when you open the cover to do the reset proceedure)
2) if you cant get manual online, and i’m guessing you know the user code (to turn it on and off) as you said you’d had to silence it before then – mains power, off ear plugs in, up ladder to outside siren, open that, tamper alarm will go off, get someone to silence that with the code, disconnect siren battery in the outside box, then back inside the house, open up control box inside (might be seperate to the keypad if its just a small keypad near a door), disconnect battery insde control panel, remove any fuses on the board or disconnect any mains wires and make safe.