You Do Need power plug adapter while traveling from Tuvalu to Denmark.

Here is Why You Need An Adapter

The outlet and plug type used in Denmark are C, E, F and K and in Tuvalu is I. This is how they look like.

Tuvalu

In Tuvalu, outlets of type I are in use.

Type I

Denmark

In Denmark, outlets of type C, E, F and K are in use.

Type C

Type E

Type F

Type K