Faith is proven by our works
In modern Christendom we often hear - "The righteous shall live by faith."
Many apply this as meaning if they have "faith" in God or in Jesus, that they are "righteous" because of their professed faith. And 'faith' is often defined as a 'mental assent' to something or belief in God.
The verse actually appears first in the OT writing of Habakkuk, and a more accurate translation would be -
“Look at the proud: he is inwardly not upright;
but the righteous will attain life through trusting faithfulness."
- Hab 2:4 CJB
The word translated "faith" in some translations of Hab 2:4, or "faithfulness" as is here, is the Hebrew word - אֱמוּנָה ('emuwnah), meaning - firmness, fidelity, steadfastness, steadiness
So, yes, as some have already pointed out in this thread - Biblical "faith" is a complete trust in God through all circumstances; a diligence in following Him; and an obedience to His will and ways, which is proven by our righteous behavior, the very works that we do. I'm sure to get some flak on this, but remember... those who are "proud" that they are 'saved' apart from having to be obedient or faithful to God in their deeds (by walking in repentance and taking up their cross), the Scripture says... "inwardly they are not upright", meaning not is right-standing with God.
Just some things to chew on.
Peace & Blessings to all!