arguments to program while running backtrace(gdb)

my program takes a few argumnents.
while running it(with the required arguments)i got a seg fault.
i generated core file.

then i want to run backtrace as:

$ gdb a.out core
(gdb) backtrace

my question is do i have to again provide the arguments to the program
while running backtrace? or all variable states are stored in core?
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