Hi,
When you scope the mains, how do you know that where the sine crosses the zero graticule , its actually the zero cross?. After all, the mains may have a DC shift, etc etc....or the scope may be out of calibration. How would you surely know that its the zero cross where it crosses zero?
I would ask you this question: why do you care where the zero-crossing of the mains sine wave occurs? In other words, what are you trying to DO?
Alternating current is always distributed by means of transformers which BLOCK DC. The only DC component in your mains power would occur if you
half-wave rectified the line voltage, thereby injecting a DC component into the secondary of the "pole pig" transformer. OTOH, a
full-wave rectified line voltage draws power from both the positive-going as well as the negative-going half of each line cycle, creating zero DC component currents.
You definitely do not want a DC component in the current taken from your mains supply. A DC current in the winding of a transformer will "walk" the magnetization up toward saturation. If the DC current component becomes large enough, the magnetic core of the transformer will saturate, causing the reactance of its windings to go toward zero, the current then being limited only by the wire resistance of the windings. This almost always lets the "magic smoke" out and bricks your transformer.
The zero crossing of the AC line voltage can be used for timing purposes. If this is your intent, then any DC that might inadvertently be present on the mains, i.e., it isn't your fault because you don't have a home-brew half-wave 600A welding rig connected to your mains power line, then a 0.1 microfarad capacitor can be used to block DC from entering your 'scope.