Why did Othello weep?

Near the end of the play, the strong warrior and commander Othello breaks down and weeps. He has smothered Desdemona, believing her to be engaged in an adulterous love affair with Cassio.
As Emilia reveals the truth that Iago orchestrated a false scenario to manipulate Othello into murdering his beloved wife, Othello starts to realize the terrible mistake he has made in killing Desdemona. As he does so, he collapses weeping on the bed beside the corpse of Desdemona. As he weeps, he brings up the handkerchief, which he believes proves Desdemona's guilt. Emilia tells him that she stole the handkerchief at Iago's request and handed it over to him. Emilia also informs the distraught Othello that Desdemona was faithful to him and loved him. Othello weeps because he has killed an innocent woman he loves due to being deceived by an evil man. He weeps because he has wronged his wife and thrown away her life and all his happiness for no good reason.