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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 x-axis
i.e. displacement along y-axis from the x-axis. This is half the difference between the maximum
and minimum values of the graph (This is also true for cosine function).
Fig. 18
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