y = f(x) graph

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..

implying that y becomes numerically great without bound as x takes these values. They are called asymptotes. The table of values and the graph show that the part of the curve from p to 2 p has the same form on the part from 1 to p . This implies that the fact tan ..

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 sho..

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..

As x increases from 180 o to 270 o , sinx decreases from 0 to -1 and as x increases from 270 o to 360 o , sinx increases from -1 to 0. The maximum absolute value of sin x = ..

As x increases from 0 o to 90 o cosx decreases from 1 to 0, as x increases from 90 o to 180 o cosx decreases from 0 to -1, as x increases from 180 o to 270 o cosx increases from -1 to 0, as x increases from 270 o to 360 o cosx increases from 0 t..

the part of the curve from p to 2 p has the same form on the part from 1 to p . This implies that the fact tan x = tan ( p + x). The whole curve consists of an endless number of branches having the same form as the branch corresponding to the values of x fro..

Table:..

Table:..

Which of the following graphs represents the piecewise function f(x) = 1, x < 0 = sin x, x ≥ 0 => Graph A or Graph C or Graph B or None of these..