Chapter 2 Functions and Graphs Section 2 Elementary Functions: Graphs and Transformations.
Graphs of Trigo Functions
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Transcript of Graphs of Trigo Functions
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GRAPHS OF TRIOGONOMETRIC
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Graphs of Trigonometric Functions (1) Graphs of sine Graph of sin x Graph of cos x
Graph of tan x
Sketch the graphs of each of the following trigonometric functions for 20 x . (a). xy sin
(b). xy sin2
(c). xy sin3
(d). xy sin2
1
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0 1
2
3
2 2
1
1
y
x 0 1
2
3
2 2
1
1
12
3
2 2 x
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(e) xy sin
(f) 1sin xy
(g) 1sin2 xy
(h) 1sin2 xy
(i) xy sin
(j) 1sin2 xy
(k) xy 2sin
(l) 12sin xy
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
0
y
x 0
y
x 0
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Graphs of Trigonometric Functions (2) Graphs of cosine
Sketch the graphs of each of the following trigonometric functions for 20 x .
(a). xy cos
(b). xy cos2
(c). xy cos3
(d). xy cos2
1
(e) xy cos
(f) 1cos xy
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
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(g) 1cos2 xy
(h) 1cos2 xy
(i) xy cos
(j) 1cos2 xy
(k) xy 2cos
(l) 12cos xy
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
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Graphs of Trigonometric Functions (3) Graphs of tangent
Sketch the graphs of each of the following trigonometric functions for 20 x .
(a). xy tan
(b). xy tan
(c). xy tan
(d). xy 2tan
(e) xy 2tan
(f) xy 2tan
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0
y
x 0