using trigger can we insert the same values of one table to another.

The answer to your question is YES, you can do it using trigger. You will have to use the Insert trigger for this.

Code :

CREATE TRIGGER triggerName ON yourSourcetable FOR INSERT
AS

    INSERT INTO yourDestinationTable
        (col1, col2    , col3)
    SELECT
        'value1', 'value2', 'value3'
        FROM inserted

GO

when you want to access the new record which is being inserted then the same can be accessed using system table name inserted. I have used this table only. So you can replace the names of the columns by your table's columns.

Hope this helps.
All the best.