pertinacious

/ˌpɜːrtnˈeɪʃəs/
adjective
  1. Holding firmly to an opinion, purpose, or course of action; stubbornly persistent.
    • Despite many failures, his pertinacious spirit never wavered.
    • Her pertinacious efforts to learn the piano finally paid off.
    • The pertinacious reporter kept asking questions until she got an answer.