please can anyboby help me on how to tranpose the trumpet from one key to the other using its first, second, third slides and the shank.
You may be better off searching some trumpet sites. Here are a couple:
http://www.trumpetguild.org/
http://www.aminortuneup.com/custom.htm
http://abel.hive.no/oj/musikk/trompet/clarke/bio/html/ch05.html