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I have been trying to find out if you can store the direction a player is facing and maybe use it to summon an arrow that shoots in that direction. I want to make a gun but it would take years and very many command blocks to make a system that will detect every single direction and then shoot the arrow in that direction. That's why I'm asking if there is any way to do it.

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Assuming 1.13.

To store player's rotation, use execute store:

execute store result score rot0 store run data get entity @p Rotation[0] 1000000
execute store result score rot1 store run data get entity @p Rotation[1] 1000000

which stores his rotation in multidegree

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