Eph 1:13 is poorly translated by some English versions - e.g. the NIV which is really a paraphrase of the Greek - and it cannot be properly understood apart from Eph 1:12. The Greek is quite terse, albeit not complex. Hence the word "trusted" is inserted by some translations in Eph 1:13 to overcome the terseness of the Greek, e.g. by the KJV; but, (a) no actual word appears in the Greek text here, (b) any artifically inserted word in Eph 1:13 should read "hoped" (not "trusted") because it refers back to the "first-hoped" in Eph 1:12.Which is the result of our initial belief, or faith. 'Trusted' and 'having believed' in this next passage are also interesting.
Ephesians 1:13 In Him you also trusted, after you heard the word of truth, the gospel of your salvation; in whom also, having believed, you were sealed with the Holy Spirit of promise,
You see, if we don't have life until we have the Spirit in us, and in Galatians 3:2-3 says we come to faith to receive the Spirit.... Paul, speaking of our sanctification even says, having begun in the Spirit (that resulted from the hearing of faith), are we know being perfected by the flesh? The point being, there was no life yet begun when that indicial faith happened, but the ongoing faith seems to always be Spirit powered, or not from the flesh, thus it's a gift from God, but only from that point forward, the indwelling.
Dave
The literal rendition is this:
Eph 1:12: ".....that we should be to the praise of his glory: the ones having first-hoped in Christ,"
Eph 1:13 "in whom you also [hoped], having heard the word of truth, the gospel of your salvation, in whom having believed, you were sealed with the Holy Spirit of promise....."
As to the distinction between hope and faith:
Heb 1:11 "Now faith is the ground/support/essence/assurance/inner conviction (Gk: hypostasis) of things hoped for, that by which invisible things are proved..."
Heb 1:11 is a complex assemblance of words impregnated with nuance, and subject to extensive comment, so I'll leave it there.