Pre-Calculus Graphing sin(x) and cos(x) Worksheet I

Pre-Calculus Graphing sin(x) and cos(x) Worksheet I

I. Find the amplitude and period. Then graph.

1) f (x) = 4sin x

1

2) f (x) = cos x

3)

3

f (x) = sin 4x

1 4) f (x) = cos x

3

5) f (x) = -5sin x

6)

f (x) = 5 cos 1 x

7)

f (x) = 1 sin 4x

3

2

8)

f (x) = 4 cos 1 x

2

II. Find the amplitude, period, and phase shift. Then graph.

9)

f

(x)

=

3

sin

x

+

6

10)

f

(

x)

=

4

cos

x

-

2

11)

f

(

x)

=

2

sin

x

-

4

12)

f

(x)

=

3

cos

x

+

3

PreCalculus Graphing sin(x) and cos(x) Worksheet II

Find the amplitude, period, and phase shift. Then graph.

1) f (x) = sin(2x - ) + 1

2) f (x) = - cos(3x + ) - 2

4)

f (x) = 3cos 1 x -

2 4

5)

f (x) = -5 cos 1 x +

3 6

3)

f

(

x)

=

5

sin

3x

-

2

6) f (x) = -2sin(4x - ) + 1

PreCalculus Graphing sin(x) and cos(x) Worksheet III

Find the amplitude, period, and phase shift. Then graph. Except for #2, rewrite the function without a phase shift.

1)

f (x) = 5cos 1 x -

2 2

2)

f (x) = 2sin 1 x +

3 6

3) f (x) = -3sin 2x -

2

4)

f (x) = - 1 cos(3x - )

2

5) f (x) = 1 sin(2x + )

4

6) f (x) = -4 sin3x -

2

7)

f (x) = 3cos(4x + ) - 2

8)

f

(x)

=

-6

sin

1 4

x

+

2

+

3

9)

f

(x)

=

2

cos

3x

-

2

-

4

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