coax vs prostrate oneself to

coax

verb
  • To carefully manipulate (someone or something) into a particular desired state, situation or position. 

  • To wheedle or persuade (a person, organisation, animal etc.) gradually or by use of flattery to do something. 

prostrate oneself to

How often have the words coax and prostrate oneself to occurred in a corpus of books? (source: Google Ngram Viewer )