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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