Asking that assumes that God can actually get angry or happy or suffer in the same way humans do. But the Holy Fathers never believed it that way. When we say "God is angry," it is not the same way as we get angry, but only explains our relationship with God.
Asking that can also assume that Christ as human had no "human" emotion. To suffer emotionally, like at the prayer at the Garden of Gethsemane, was in a human manner. Christ was fully human, so God, in "emptying Himself," that is experiencing all things fully human while not diminishing His divinity, grew in wisdom as human, suffered hunger as human, cried as human, died as human, etc. Suffering emotionally had to be human.
Now, what was the role of the Divinity? The Hypostatic union "divinizes" everything Christ experienced and did. Everything that was done as human was blessed and united with the Divinity without any moment of separation, so that everything we do as human is now in communion with Christ, a central part of theosis. It was the keeping of the phrase "one incarnate nature" that St. Cyril saw its beauty as part of theosis, "partaking of the divine nature," that Antiochians could not see the depth in, in which he characterized the "two nature" phrase as something simple minded people use.