On the other hand, some claim that biased news sources can be misleading.

I would call into the question the notion that an "unbiased" news source is even possible. What is that? Even in a hypothetical, entirely objective coverage an event, the news publication must decide whether to give such coverage time and space as compared to other stories. That time/space is balanced against corporate advertising and the corporate interests that own the publication (or the government grants, or the subscribers, or whatever the funding is). Choosing to cover or not cover something is bias, before the news article even exists.

This often happens when the news source is not honest about their biases, or if they don't make their biases clear. Fox News is the classic example: Their tagline is "fair and balanced," but their clear objective is to present the Republican/Conservative side of the story. This dishonesty about their bias is at the core of their credibility problems, though, to be clear, it does work in terms of effectively deceiving many people.