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If a non-creature permanent turns into a creature until end of turn and attacks, does it remain tapped after it stops being one?
For example, if I activate Sarkhan, the Dragonspeaker's first ability, then attack with him, and then end my turn, will Sarkhan remain tapped when he stops being a dragon?
Yes: Being tapped/untapped is a part of the status of a permanent and is independent of its type (creature/not creature) or other characteristic.
110.6. A permanent’s status is its physical state. There are four status categories, each of which has two possible values: tapped/untapped, flipped/unflipped, face up/face down, and phased in/phased out. Each permanent always has one of these values for each of these categories.
110.6a Status is not a characteristic, though it may affect a permanent’s characteristics.
In your example, Sarkhan, the Dragonspeaker will remain tapped even after your turn ends.
