can u explain about sin?

Answer 1

sin (of an angle) = opposit over hypotenues in a right triangle

Example: http://202.41.85.103/manuals/planetmath/entries/33/Trigonometry/img2.png

in that triangle sin (theta) would be length of BC/AC

Answer 2

In Math, Sin is the abbreviation of Sine, a trigonometric function.

In a 2-D Euclidean space (the normal graph on a plane), it is generated by rotating a unit segment, beginning parallel to the x axis (the end is at (1,0) ).

As the angle increases, the position of the end runs along the circle of radius 1. I'm using t for the angle.

Sin(t) = y (where y is the value of the second coordinate when the position of the end point is given as (x,y) ).

It is from this definition that we get the analogy of the right-angle triangle: sine = opposite side / hypothenuse. If you drop a line from the end point down to the x axis, you will have completed a triangle with a 90 degree angle at the x axis, angle t at the origin, side opposite to angle t has length y, and hypothenuse has length 1.

In math, the Sine function is given as a series:

Sin(t) = t - (t^3)/3! +(t^5)/5! - (t^7)/7! + (t^9)/9! ... forever
where ! indicates a factorial: product of all integers up to the number
(5! = 1*2*3*4*5=120)

In this form, it will give the same result as the geometric form, if t is an angle measured in radians. However, you have to accept that it is a function that could apply to things that are not angles.

From that definition, one can develop the complex equivalent:

Sin(t) = ( (e^it) - (e^-it) ) / 2i
where i^2 = -1 (i is sometimes called the square root of -1)

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In real numbers, Sin is a function from the Real to the interval [-1,+1]. i.e., sin(t) can never be more than +1 nor less than -1.

It is a periodic function, such that sin(t) = sin(t+2*pi) = sin(t + 2*k*pi) where k is any integer.
In degrees, we say that sin(t) = sin t + k*360).

If you want a bijection (where both the function and the inverse function are one-to-one and onto), you have to restrict the domain to an interval of length 2*pi. You can pick -pi to +pi or 0 to 2*pi or any other interval of equal length.

In this manner, sin: [0, 2*pi) to [-1, +1] is
one-to-one (for any value of t, sin(t) gives only one result) and onto (for any value y in [-1,+1], there exists at least one value t in [0, 2*pi) such that sin(t)=y )
and the inverse function arcsin(y) = t
is also one-to-one and onto.

Otherwise, arcsin(y) could have an infinite number of answers. For example, arcsin(1/√2) = pi/4, 3pi/4, 9pi/4, 11pi/4....
and to have a function that yields more than one answer, in math, is a real sin...

Answer 3

First off, in math, the full name of the function is "sine" although it's always abbreviated "sin", like "sin(X)". It's simply a ratio (fraction) relating two sides of a fuction together, namely: the length of the side of a triangle opposite the angle X over the length of the hypotenuse. It is generally the first of the trig functions covered.

Answer 4

Hi!I don't think you are supposed to ask such a silly question after answering very well to certain difficult questions. By the way it is well explained by many.

Answer 5

sin means anything you go against the community , religion and anything bad you do is a sin

Answer 6

The trigonometric functions are ratios (sine is one of them) and if you know at least one angle and the length of a side (trigonometry deals with triangles), you can produce other information.

Answer 7

YaHoooooooooooooooo!

Answer 8

doing wrong against God.depends wat religion you are buttt, if your guts tell you you are doing something wrong, then youre doin it. no one is holy, thats why we go to church for the lord to forgive our sins.

Answer 9

explain what exactly?!!