Translation of "Sincerely" in Chinese

I won’t forgive you unless you apologise sincerely.

我不要原谅你，除非你真诚地抱歉。

I sincerely hope you'll give me this second chance.

希望你能够给我这第二个机会

If someone is already good in and of themselves, however, and treats you sincerely and from the heart, and truly loves you, then you really can entrust your life to them.

但是如果有一個人本身已經很好了,對你又是真心真意, 真心愛你,那麼你真的可以把一生托付給他。