It's a trick question. Both are examples of living in gote.
- Click Here To Show Diagram Code
[go]$$Bc Gote
$$ -------------
$$ | . X O . O |
$$ | X X O O . |
$$ | . 1 2 . O |
$$ -------------[/go]
Yes, White replies locally with

, but that's only because it is White's turn and there is no place else to play.

Not because

is sente. To be sente,

has to carry a large threat.

only threatens

, which is a one point sente. (It is sente because it carries a large threat, to kill the White group.)
- Click Here To Show Diagram Code
[go]$$Bc Black sente
$$ -------------
$$ | . X O . O |
$$ | X X O O . |
$$ | . X 1 2 O |
$$ -------------[/go]
But living is huge by comparison.
- Click Here To Show Diagram Code
[go]$$Wc White kills
$$ -------------
$$ | . X O . O |
$$ | X X O O . |
$$ | . 1 . . O |
$$ -------------[/go]
White to play could kill for 12 points.
Here is an example of living with sente.
- Click Here To Show Diagram Code
[go]$$Bc Black sente
$$ ----------------
$$ | . 1 O O O a . |
$$ | X X O . X 2 . |
$$ | O X O O O X X |
$$ | . X X O . O . |
$$ ----------------[/go]

lives in sente.

threatens to kill a much larger group by playing at "a". In the nature of things, it is rare to live with sente, since living has to carry a huge threat.
Note that Black cannot win the fight if he does not make life first.
- Click Here To Show Diagram Code
[go]$$Bc Black loses the fight
$$ ----------------
$$ | 4 2 O O O 1 . |
$$ | X X O . X 3 . |
$$ | O X O O O X X |
$$ | . X X O . O . |
$$ ----------------[/go]
Now, you may think that the concepts of sente and gote don't make much sense on a small board, and you would be right. They are important when there is a question of whether to respond locally is right, or whether you should play somewhere else. On a small board, things are generally all local.
