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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..
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..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 curve as sho..
Graph of y = sin x
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 = ..
Graph of y = tanx
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..
Graph of y = tanx
Table:..
Table:..Which of the following represents piecewise function f(x) = |x| if x &..
Which of the following represents piecewise function f(x) = |x| if x ≤ 0 = 1 if x > 0 => Graph C or Graph A or Graph B or None of these..
Which of the following represents the equation of the graph obtained b..
Which of the following represents the equation of the graph obtained by a vertical translation of 7 units downwards followed by a reflection across the y -axis on the graph of y = f ( x )? => y = 7 - f ( x ) o..
Find the y-intercept of the graph of f(x) = 3(x - 2) + 5.
Find the y -intercept of the graph of f ( x ) = 3 ( x - 2) + 5. => 14 9 or 9 45 or 46 9 or 0..
Which of the following represents the equation of the graph obtained b..
Which of the following represents the equation of the graph obtained by a horizontal translation to the right by 3 units on the graph of y = f ( x )? => y = f ( x ) or y = f ( x - 3) or ..
Graph of y=a sin bx and y=a cos bx
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. ..
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. .. Result
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