even if
This expression is used to indicate the fact that even if you acknowledge some hypothetical condition given in the preceding clause, the result in the following clause will still be different from what is expected.
The interrogative forms -겠어요? and -(으)ㄹ까요? are used to emphasize the meaning of the following clause, and the word 아무리 is often used together with this expression.
This expression can also be used to hypothesize the opposite result of a past situation by using the form -았던들/었던들. It is used when expressing one's desire, regret, or feeling of missed opportunity. In such cases, the following clause usually ends in a suppositional ending, such as -(으)ㄹ 것이다 or -(으)ㄹ 텐데.
Expresses that even if the conditions of the preceding clause are true, the result will not be as expected. Can be used along with -겠어(요) as a rhetorical question.