I'm not a teacher. But I'll try to help.
Your answer is very understandable.
'Believe' and 'trust' both work, but I would definitely choose 'believe' if I was answering this question. Make sure you say 'believe/trust in' instead of 'believe/trust on'.
Another small note: "...think that Progressive Rock is a unique kind of music..." As a native speaker, I would say 'style' instead of 'kind'. I think it is more specific.