My Moniter won't work!
That high pitched sound in one way is a very good thing. It pretty much points out the source of the problem itself. That is more than likely either a blown capacitor or transformer on the power source inside the monitor. I would rule out the power inverter for the LCD backlight because the power light will not turn on either. I have found that Samsung is very good with their repairs, and if it is a somewhat recent model they should be able to get it drop ship repaired with little expense. That can be an inconvenience, and if you do decide to replace the monitor altogether, please be eco-conscious and have the old screen either donated to a goodwill organization where scavengers like me will buy it for raw parts, or to an electronics recycling center. E-Waste is becoming a very large problem and LCDs and flat screens are a hefty piece of it.