Sad but it happens. I have a monitor graveyard for the Amiga and I kinda lose a couple every year it seems. I have a 1084 that has just started whistling and another that is giving out a very strange noise. I first had the issue on a Philips, but in those days I knew a guy that could repair them. If you can get it repaired I would cus my Philips that was repaired is still going fine.
Just as an aside I had this Samung flat screen monitor develop the same problem and did get it repaired. I haven't had a monitor last more than a few months after the whistling starts. So depressing. They generally just stop working and go black and lifeless.
I do have one Commodore monitor that refuses to give in. It is like fleurescent red and blue on screen and you cannot read it until I give it a big whack on the side and then she comes back to life. I use it with a C64. Been like it for years.... no whistling though.
sadly 50% of these monitors could be saved if people would quit using them when they first show symptoms and fix them.
Bad solder joints happen so often on them,and when you beat on them often its enough to make contact,but the joints carrying high current get hot due to the resistance and run until they arc and burn.
Bad solder on the flyback causes arcing and just does damage the longer you run it.
the last 1960 i was given the guy ran it until the FET fried itself and burned legs off and burned a hole in the pcb.