The best replacement for arrogant is confident.

The best alternatives to arrogant are rated as following:
★★★★★  confident
★★★★★  cocky
★★★★  ignorant
★★★  humble
★★★  proud
★★  simply confident
★★  narcissistic
★★  insecure
★  conceited
★  haughty
★  assertive
★  confidence
★  self confident
  aloof
  boastful
  condescending
  smug

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Speaking about arrogant, one probably shouldn't forget about 100 days.

Other search terms related to arrogant and their ratings are:
★★★★★ 100 days
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Google Trends

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arrogant
confident
cocky