Yes, I have found it interesting that the Chinese 相信 does not seem to distinguish between the two, when to English speakers they are quite different. "To believe" is to simply accept that something is true. Ask a perfect stranger a question about his city, and he gives you an answer that you "believe" is accurate. This kind of casual decision to believe is not a risk for you. If his answer turns out to be wrong, you are not harmed to any great extent. But still, you "believed" him. "To trust" is a much more serious decision. It includes a very high level of "belief", and more than that, a high level of faith. You "trust" that the person who will perform your heart surgery is well qualified, or that a business you invest in will not act unfairly or illegally. When you convey your trust, you are taking a greater personal risk. You take your paycheck to your bank and walk out. You don't just "believe" that it will be safe -- you "trust" them to keep your money safe. If that stranger whose answer you "believed" then asks you to get into his car and take a ride with him, you will undoubtedly say no, because you don't know if you can "trust" him. There is some overlap in the two terms, and you might see one or the other used without a great deal of difference in some cases. But in the extreme, "trust" is granted much less freely than mere "belief" because the stakes are higher.