The high pitched whine can come from two places inside the monitor, most likely it toasted the output transistor on the flyback transformer, this transistor controls the horizontal and high voltage of the monitor. these transistors typically cost about 30.00 cdn, and are easy to replace. three solder connections, and two screws. they are oval in shape, and are silver in color. sometimes the whine lasts until the circuit board trace that sullpies power to this transistor melts, another easy repair, change transistor, check circuit board and repair if needed.

the other place that can produce a whine is the vertical output transistors, they are a matched pair, and can usually be identified by the appearance of a darkened circuit board directly under where they are mounted, as well as power resistors in close proximity that will also show signs of heat. these transistors are a matched pair, and must be both changed even if only one is damaged. they are usually mounted standing up on three legs, and have a bright metal heat sink on them. you could be lucky, and a solder joint heated up and failed, again a quick fix. the transistors can range between 20.00 to 40.00 cdn for the pair, easy to change.

heating on a circuit board can cause metal fatigue on the solder joints, and result in hairline cracks, most cracks can only be seen with a good magnifying glass.

a good electronics shop should only charge about 40.00 for labor to repair plus parts.

good luck.