"[Anakin Skywalker] whines and moans his way through his role, reducing the tragedy of his inevitable fall to something on the level of a spoiled child not getting a toy that he wants and subsequently throwing a temper tantrum."
But like all other good things, angst can be overdone or clumsily handled. Wangst, a Portmanteau of "whiny" and "angst," (or maybe "wimpy" and "angst"—or quite possibly "wanky" and "angst"; also Whangst if you pronounce the H) is essentially angst gone wrong. The intended Woobie becomes a pathetically whiny character who insists on crying (often loudly and repeatedly) about a Dark and Troubled Past or event instead of, you know, trying to solve the problem and stop being depressed all the time. Especially if said "trauma" doesn't come across as nearly tragic as the character thinks it is, compared to other people trying to endure out there, making his lamentations seem way out of proportion.
Note: Though Wangst is most frequently associated with characters whining over petty "tragedies," the trope is not merely sadness or angst; it is poorly written sadness or angst that comes off as unjustified due to poor writing, lack of an explanation, or exaggeration. It's not necessarily the scale of the tragedy that the character is reacting to that's the problem, but the way it's handled.
It all boils down to quality and personal tolerance level; what is grating and unrealistic to one viewer can be genuinely heart-rending for another. There's an inherent Double Standard involving this trope—people are much more likely to be crying "Wangst" to a male character than they are a female character. In heavily action-oriented works, it's expected for anyone who just pauses for a short time to feel a little angst to immediately get called out as wangsty: see also What Measure Is a Non-Badass?.
Wangst is a favorite of Emo Teens, Sympathetic Sues and characters Cursed with Awesome. Any kind of Despair Speech (especially by nihilists) is also often considered as this. Often pointed out by playing the Worlds Smallest Violin. See also Emo, Narm, Angst Dissonance. To deal with the wangsty kind, people will usually say "Get a Hold of Yourself, Man!!"
The "wangst" equivalent for entire stories is when Darkness-Induced Audience Apathy is caused by too much True Art Is Angsty. Silly Rabbit, Cynicism Is for Losers is the philosophical equivalent. Compare Deus Angst Machina, which is about having too many sources of angst for Willing Suspension of Disbelief rather than too much response to sources of angst. For both in-universe and meta-examples, see Muse Abuse, a frequent Real Life and in-universe cause of Wangst. Contrast Angst? What Angst?, and Stoic Woobie.
Subtrope of Bathos, and may be called that in literary circles.