graph of y = sin x

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 cu..

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 = ..

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. ..

The graph with parametric equations x = 5 cos θ, y = 5 sin θ lies in quadrant II if => 270° < θ < 360° . or 90° < θ < 180° . or 180° < θ < 270° . or 0° < θ < 90° ...

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..

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 ..

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..

Sketch the graph of y = - sin x for - π ≤ x ≤ π . Make a table of values and plot the points..

Let f(x) = sin x. Then, we have ..

Let y = sin - 1 x, then sin y = x. ..