cocksure vs high and mighty

cocksure

adj
  • Too confident; overconfident. 

high and mighty

adj
  • Overbearingly arrogant; ostentatiously self-important or self-aggrandizing. 

  • Ever since she was placed in the gifted program, she's become so high and mighty that no one wants to be near her. 

noun
  • A social or economic group wielding undue power, influence or economic clout. 

How often have the words cocksure and high and mighty occurred in a corpus of books? (source: Google Ngram Viewer )