Sin is always a disobedience, (To God's commandments, his love) but disobedience does not mean a sin in itself, it depends to who do you disobey, if you disobey to an unjust law that goes against your conscience....then that is not a sin!
Disobedience is a common aspect of sin, as it often involves going against what is considered morally right or breaking rules or laws. However, the root of all sin is generally considered to be pride or a selfish desire to prioritize oneself over others or higher principles.
Did Adam sin against god or disobeyed him?
The heart of Adam and Eve's first sin was disobedience to God. This is the root cause of every other sin.
The root of sin is man's disobedience to God's command in the garden of Eden, which disobedience we all inherit from our first father, Adam. The fruit of sin, which the Bible calls,'the works of the flesh', are these - Adultery, fornication, uncleanness, lasciviousness, Idolatry, witchcraft, hatred, variance, emulations, wrath, strife, seditions, heresies, Envyings, murders, drunkenness, revellings, and such like: of the which I tell you before, as I have also told [you] in time past, that they which do such things shall not inherit the kingdom of God.
The original sin was disobedience to God's command to not eat the fruit of a certain tree.
Original sin as referred to in the Bible, and in sermons, is the disobedience of Adam to God when He told him not to eat of the tree of the knowledge of good and evil. This was the first sin that man committed, which plunged all of mankind into a constant state of sin, until God sent His only Son, Jeshua (Jesus in English) to redeem all of mankind back from all sin. So the first sin and the original sin are the same.
Money itself is not the root of evil just as gun powder is not the root of war but those who are greedy of such things enter into sin.
It is not totally clear to what the square root applies*; if just the 2, then: d/dx ((√2)sin x) = (√2) cos x if all of 2 sin x, then: d/dx (√(2 sin x)) = cos x / √(2 sin x) * for the second version I would expect "square root all of 2 sin x" but some people would write as given in the question meaning this, so I've given both just in case.
Selfishness
In the biblical creation story, sin enters the world through the disobedience of Adam and Eve, who eat from the forbidden tree in the Garden of Eden. This act of disobedience results in separation from God and introduces sin and death into the world. It highlights the tension between human free will and the consequences of disobedience.
cos A=3/5 sin=square root of (1-cos2) sin=square root of (1-3/52) sin=square root of (1-9/25) sin=square root of (16/25) sin=4/5 csc=1/sin csc=1/(4/5) csc=5/4
Disobedience is a matter of choice. It is not because of in-born nature of disobedience. It is the in-born nature of decision making that is misused. To fix disobedience, one must go to the root of the problem. The root is in the mind. Feed your mind what is good, and you shall ponder good thoughts. Eat what is poisonous, and you will die!
According to the Bible, they were the first sinners. God told them not to eat from the Tree of Knowledge of good and evil. Satan (disguised as a snake) persuaded Eve into eating a bite of the apple, and she then persuaded Adam to also take a bite from the apple. This was the first sin, as they defied God. The disobedience of Adam and Eve was passed on to all people born after them so all people are born in sin/sinners: Romans 5:19 For as by one man's disobedience many were made sinners, ....................
After the fall of man , both death and sin came in the world.