In Catholicism, a sin may be categorized as either mortal or venial. A mortal sin is one that is grave in nature and committed knowingly and deliberately and thus in defiance of God's will. A venial sin lacks the gravity of a mortal sin, results from ignorance of God's law, or is not performed volitionally. Either type of sin may be subcategorized as an act or omission. Further, the disobedience of Adam and Eve in the garden is classified as original sin and the guilt thereof is inherited by all of humanity. Original sin, therefore, precedes the above categorizations and can be distinguished from them.
For Catholicism, they believe, that they are original, venial, and mortal.
Original sin- sin brought by the first humans that we (today) use.
Venial sin- any kind of sin that's minor and an everyday sin.
Mortal sin- a sin that splits belief of the persons connection with God. (In other words, becoming and unbeliever where God does not forgive you.)
The Bible defines sin this way:1 John 3:4[ Sin and the Child of God ] Whoever commits sin also commits lawlessness, and sinis lawlessness.Sin is sin in the Bible - no mortal or venal types which are the traditions of men. The person committing the sin is the one who is at blame.
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)
There are two types of sin. Venial sin is a non-serious sin, when the sinner does not know it is wrong. Mortal sin is a serious sin, when the sinner is aware of what they are doing.
sin pi/2 =1 sin 3 pi/2 is negative 1 ( it is in 3rd quadrant where sin is negative
2 sin(x) - 3 = 0 2 sin(x) = 3 sin(x) = 1.5 No solution. The maximum value of the sine function is 1.0 .
Using Euler's Formula, you use (cos(x) + i sin(x))^n = cos (nx) + i sin(nx) Now you let n=3 (cos(x) + i sin (x))3 = cos(3x) + i sin (3x) (cos(x))3 + 3(cos(x))2 * i sin(x) + 3cos(x) * i2 (sin(x))3 = cos(3x)+ i sin(3x) (cos(x))3 + i(3sin(x)(cos (x))2) - 3cos(x)(sin(x)2) - i(sin(x))3 = cos (3x) + i sin(3x) Now only use the terms with i in them to figure out what sin(3x) is... 3sin(x)(cos(x))2 - (sin(x))3 = sin(3x) Hope this helps! :D
Sin[x] = Cos[x] + (1/3)
sin 60 = √(3)/2 or about 0.866 ■
sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
1.5
amplitude of the function y =-3 sin 3x
ANSWER: What is sin? "...sin is the transgression of the law" (1 John 3:4).