Graphs of Trigo Functions

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    GRAPHS OF TRIOGONOMETRIC

    Name

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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