不负所托 meaning in English

merit someone's trust

But wmap , with its ability to resolves slight temperature fluctuations down to millionths of a degree , is still able to detect these minute differences and produces the finest full sky thermogram of the cosmic background
但由于wmap的超高灵敏度仪器可测量低至数百万分之一度的温差，它才能不负所托，得出至今最精细的全天微波背景辐射温度图。
The financial secretary did live up to our expectations . at this crucial moment of our transition , he has delivered a clear and convincing economic message that can allay the concerns of hong kong people and of the international community
财政司果然不负所托，及时在重要的过渡时刻，为港人送上一个明朗和稳定的经济讯息，令市民和国际投资者都能一致放心。