Please read up on what happened just before maidan, how yanukovich decided not to sign treaty with eu at the last minute, obviously against people will.
Democratically elected governments do things against the "people's will" all the time. That's not a reason for a coup.
As an example, the italian government is forcing us citizens to pay the cost of the sanctions to Russia, which will be really hard on us. Polls show that the large majority of Italians is against applying sanctions on Russia and sending weapons to Ukraine.
