GRAPH OF tan x : y = tan x, x Î R, x
¹ (2n + 1) p/2, n Î I, y Î R
\The points (2n+1)p/2, n ÎI at which the value of tangent function approaches infinity
and indefinite. When we draw the graph of tan x, a dashed line is drawn to show where the
values of the tangent function is undefined. These lines are known as
'Asymptotes'.
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Fig. 17
Graphs of y = a sin (bx + c) and y = a cos(bx + c)
Before considering the graphs of (i) y = a sin(bx + c) and (ii) y = a cos(bx + c) we will
consider the following graphs.
i) y = sin x ii) y = 2 sin x iii) 3 sin x
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i) Here the additional factor to sine function of x is 'a' i.e., y = a sin x, allows for
amplitude vibration of the sine function. The
amplitude a is the maximum deviation from the xaxis
i.e. displacement along yaxis from the xaxis. This is half the difference between the maximum
and minimum values of the graph (This is also true for cosine function).
Fig. 18
