Japanese Word for Trust
We use Japanese Kanji word "信頼(しんらい-shinrai)" for translating English word "Trust" into Japanese. I showed large Japanese kanji image of this Japanese word in left side of this page.
And some other Japanese words also used for "Trust" such as "信任(しんにん-shinnin)", "信用(しんよう-shinyou)" and "信託(しんたく-shintaku)" etc.
But the word "信託" is probably only used in economic world. And we often use the Katakana word "トラスト(とらすと-torasuto)" for Trust in economic world. This word is just created from the pronunciation of Trust and written in Japanese Katakana. This means the word "trust" is pretty popular in Japan nowadays.