sinx

Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..

1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded function. 2) There a..

Points observed from the graph - 1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded..

From the figure it is evident that the curve repeats itself every 360 o or 2 p . This fact is expressed by saying that the function has a period of 360 o or 2 p . In symbols we write sin (x + n.360 o ) or sin (x + 2n p ), sinx = sin (x + n.360 o ) = sin (x + 2n p ), where n is any po..

Graph of y = sin x - Now let us construct the graph of y = sinx from x = 0 o to 360 o . The following table is readily constructed for intervals of 30 o . Plotting the points and drawing a smooth curve through them we have the curve as shown in figur..

If we compare the graph of y=a sin bx with y=sin x we observe that sin bx has values between +1 and -1 (both values inclusive) on the values of sinx. ..

A function f(x) is called periodic if there exists a non zero number p such that f(x+p) is defined and f (x+p) = f(x) for all values of x in the domain of f(x). The number p is called the period of f(x). The function sinx has periods 2 p , 4 p ,6 p ,....since sin (x+2 p ), sin (x+4 p ), ..

Potential energy = mgh 2 Total energy = mgh 1 + mgh 2 = mg (h 1 + h 2 ) = mgh Let v l be the velocity of the body at the bottom B of the inclined plane. Then v l 2 - 0 2 = 2 x g sinx l = 2gl s..