Yes, Christians are dead to sin.
Stop obsessing over it.

Romans 6:5-11 ‚ÄúSince we have been united with him in his death, we will also be raised to life as he was. 6 We know that our old sinful selves were crucified with Christ so that sin might lose its power in our lives. We are no longer slaves to sin. 7 For when we died with Christ we were set free from the power of sin. 8 And since we died with Christ, we know we will also live with him. 9 We are sure of this because Christ was raised from the dead, and he will never die again. Death no longer has any power over him. 10 When he died, he died once to break the power of sin. But now that he lives, he lives for the glory of God. 11 So you also should consider yourselves to be dead to the power of sin and alive to God through Christ Jesus. 
Since you are forgiven, walk in it the grace and beauty of what you have received. 

Receive His mercy and become what you have received. (walk in it.) 

Receive His love and become what you have received (walk in it.)

Under the law I forgive, to be forgiven. Under Grace I forgive, because I am forgiven.