Cutting a Polygon feature with reference to a polyline - Python

[MANESK]

I have a Polyline feature and a Polygon feature class. I have to cut the the whole polygon vertically to the polyline wherever the nodes of the polyline arrives..I have to cut the polygon manually by enabling snap mode for identifying the vertices.. It's a lengthy process which takes lot of time... Is there any tool or script in python to automate the process...I ve attached the snapshot of the requirement

[DanPatterson_Retired]

see Cut in the polyline class and see the polygon class there as well