nadąsany in English:

a sulky child

You might be sulky if your brother gets to travel to England and you don't, or if your coworker gets a promotion instead of you.

disappointment was making her sulky / she had a sultry, sulky mouth

Then he turned sulky and looked down at his feet.

I don't like your boyfriend. He's too huffy.

How come they are so huffy all the time?

he replied sullenly

sullen skies that matched our mood on the day of the funeral

His daughters stared back at him with an expression of sullen resentment.

My grandpa was bad-tempered but definitely not sullen