The following is an extract from the standards which deal with the definition and meaning of repentance. Repentance is also closely connected with the use of the means of grace (preaching, sacraments, prayer) but those sections are not included.
Westminster Confession of Faith
Chapter XV Of Repentance unto Life
I. Repentance unto life is an evangelical grace, the doctrine whereof is to be preached by every minister of the Gospel, as well as that of faith in Christ.
II. By it, a sinner, out of the sight and sense not only of the danger, but also of the filthiness and odiousness of his sins, as contrary to the holy nature, and righteous law of God; and upon the apprehension of His mercy in Christ to such as are penitent, so grieves for, and hates his sins, as to turn from them all unto God, purposing and endeavouring to walk with Him in all the ways of His commandments.
III. Although repentance is not to be rested in, as any satisfaction for sin, or any cause of the pardon thereof, which is the act of God's free grace in Christ, yet it is of such necessity to all sinners, that none may expect pardon without it.
IV. As there is no sin so small, but it deserves damnation; so there is no sin so great, that it can bring damnation upon those who truly repent.
V. Men ought not to content themselves with a general repentance, but it is every man's duty to endeavor to repent of his particular sins, particularly.
VI. As every man is bound to make private confession of his sins to God, praying for the pardon thereof; upon which, and the forsaking of them, he shall find mercy; so he that scandelizeth his brother, or the Church of Christ, ought to be willing, by a private or public confession and sorrow for his sin, to declare his repentance to those that are offended; who are thereupon to be reconciled to him, and in love to receive him.
Westminster Shorter Catechism
Q. 85. What doth God require of us, that we may escape his wrath and curse, due to us for sin?
A. To escape the wrath and curse of God, due to us for sin, God requireth of us faith in Jesus Christ, repentance unto life, with the diligent use of all the outward means whereby Christ communicateth to us the benefits of redemption.
Q. 87. What is repentance unto life?
A. Repentance unto life is a saving grace, whereby a sinner, out of a true sense of his sin, and apprehension of the mercy of God in Christ, doth, with grief and hatred of his sin, turn from it unto God, with full purpose of, and endeavor after, new obedience.
Q. 97. What is required for the worthy receiving of the Lord’s Supper?
A. It is required of them that would worthily partake of the Lord’s Supper, that they examine themselves of their knowledge to discern the Lord’s body, of their faith to feed upon him, of their repentance, love, and new obedience; lest, coming unworthily, they eat and drink judgment to themselves.
Westminster Larger Catechism
Q. 75. What is sanctification?
A. Sanctification is a work of God’s grace, whereby they whom God hath, before the foundation of the world, chosen to be holy, are in time, through the powerful operation of his Spirit applying the death and resurrection of Christ unto them, renewed in their whole man after the image of God; having the seeds of repentance unto life, and all other saving graces, put into their hearts, and those graces so stirred up, increased, and strengthened, as that they more and more die unto sin, and rise unto newness of life.
Q. 76. What is repentance unto life?
A. Repentance unto life is a saving grace, wrought in the heart of a sinner by the Spirit and Word of God, whereby, out of the sight and sense, not only of the danger, but also of the filthiness and odiousness of his sins, and upon the apprehension of God’s mercy in Christ to such as are penitent, he so grieves for and hates his sins, as that he turns from them all to God, purposing and endeavouring constantly to walk with him in all the ways of new obedience.