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Table 3.2 Maximum value, minimum, amplitude and period
graph of trigonometric functions
Maximum Minimum
Graphic Amplitude Period
Value Value
y = without x 1 -1 1 360°
y = cos x 1 -1 1 360°
y = tan x ∞ −∞ ∞ 180°
y = a without b(x + c) + d 360°
| | + −| | + | |
y = a body b(x+c) + d 360°
| | + −| | + | |
y = a tan b(x+c) + d 180°
∞ −∞ ∞
3. Trigonometric Function Graph
Graphs of trigonometric functions can be drawn with the
help of a value table. The steps of drawing a graph of
trigonometric functions are as follows.
a. Make a table of pair values x and y. Usually for x values in
the form of special angles
b. Place pair coordinates x and y in the coordinate field
c. Connect with smooth curves.
a. Drawing a Graph of Sinus Functions
Function graph y = sin x with domain 0 ≤ ≥ 2 .
x 0 2 3 5 7 5 4 3 2
6 4 3 2 3 4 6 6 4 3 2
y = sin x 0 1 √2 √3 1 3 √2 1 0 1 √2 √3 -1 0
− −
2 2 2 2 2 2 2 2 2
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