Even though I am smart, I do not know everything.
Even though...
Our teacher gives out homework assignments as though they are a sentence.
Use a comma when you hear a pause in the sentence for a natural break, though short, between word groups within the sentence.
Though I do not like cooking very much, I love to eat.
Yep. There's no problem with using 'an' anywhere you want to. You shouldn't use and at the start of a sentence, though.
Example sentence - He purchased the table saw even though it was non-returnable.
Example: all though he is short he is a good basket ball player
Though she did not like the command, she was inferior to him and had to oblique.
Despite the chaos around her, she remained imperturbable and continued to focus on her work without getting distracted.
He spoke tolerantly with her even though she cheated on him.
He had had enough of their constant complaints, so he decided to speak up and clear the air.
Example sentence - It is quite feasible for it to rain today even though rain is not in the forecast.
Robots are cool. There I used it in a sentence, even though I don't think robots are cool.