coax vs show someone the error of their ways

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. 

show someone the error of their ways

How often have the words coax and show someone the error of their ways occurred in a corpus of books? (source: Google Ngram Viewer )