Your trust is superior to my life - 你的信任胜过我的生命。

Thank you for your trust in me - 感谢你对我的信任。

I believe I am capable of calculating the political consequences accurately - 我相信我有能力准确计算政治后果。

I believe he was concerned in all those matters you mention - 我认为你提到的那些事都与他有关。

I don’t believe you can beat us - 我相信你们不会击败我们。

I don’t believe she’s at home - 我看她不在家。

I can’t believe they were so heartless - 我无法相信他们是如此的麻木不仁。

I believe that a journalist should be completely objective - 我认为新闻记者不应当有丝毫偏见。

And would you believe it, he’s younger than me! - 你相信吗，他比我年轻!

I am convinced that... - 我确信……

这些句子涵盖了“believe”在不同语境下的用法，既有表达信任的，也有表达怀疑的，还有表达信念和信心的。希望这些例子对你有所帮助。