Often Christians use Josephus and Tacitus to show the ‘historical’ validity of the Crucifixion. However, hypocritically they would deny their historical accounts when they differ with their New Testament history.
In Bart Ehrman’s New Testament textbook, he mentions the following:
“Contrary to what Luke indicates, historians have long known from several ancient inscriptions, the Roman historian Tacitus, and the Jewish historian Josephus that Quirinius was not the governor of Syria until 6 C.E., fully ten years after Herod the Great died. If Jesus was born during the reign of Herod, then Quirinius was not the Syrian governor.”