Free Printable Graphs of Sine and Cosine

1.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

2.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

3.

The __________ represents half the distance between the max and min of a sine or cosine graph.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

4.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

5.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

6.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [-1, 1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

7.

What is the period of either graph?
(y = sin/cos x)

a)

Pi

b)

2Pi

c)

Pi/2

d)

Pi/4

8.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

9.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

10.

What is the amplitude of the graph?

a)

-2

b)

2

c)

4

d)

-4

11.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

12.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

13.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

14.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

15.

What is the vertical shift for
y = 4cos(0.5x +pi) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

16.

Find the period of y=2sin[1/4x-π/2]

a)

π/2

b)

8π

c)

4π

d)

π

17.

Find the amplitude of y=-5cos1/2x+π

a)

1

b)

-5

c)

1/2

d)

5

18.

Find the phase shift of y=-4cos[1/4x+π/4]

a)

2π units to the right

b)

π units to the right

c)

π units to the left

d)

2π units to the left

19.

Find the amplitude of y=-4cos[1/4x+π/4]

a)

4

b)

-4

c)

1

d)

-1

20.

Find the period of y=-4cos[1/3x+π/4]

a)

2π/3

b)

3π

c)

6π

d)

π/4

21.

Find the period of y=cos[3x+π/2]

a)

2π/3

b)

6π

c)

3π

d)

4π/3

22.

Describe the shift: cos(x-(π/4))

a)

Up π

b)

Down (π/4)

c)

Left (π/4)

d)

Right (π/4)

23.

For the function below, find the vertical shift:

y=\frac{1}{9}\sin\left(\theta-45\right)-4

a)

down 45

b)

up 45

c)

up 4

d)

down 4

24.

For the function below, find the vertical shift:

y=-2+2\cos\left(\theta+25\right)

a)

down 25

b)

up 25

c)

up 2

d)

down 2

25.

Find the amplitude of

y=-8\cos\left(\frac{7x}{4}\right)

.

a)

$\frac{7}{4}$

b)

8

c)

-8

d)

$\frac{1}{8}$

26.

Determine the period of

y=3\cos\left(\frac{x}{6}\right)-5

.

a)

$\frac{\pi}{3}$

b)

$\frac{1}{3}$

c)

$6\pi$

d)

$12\pi$

27.

Determine the period and amplitude of

y=4\cos\left(\frac{x}{9}+\frac{\pi}{6}\right)

.

a)

Period: $18\pi$ ; Amplitude: 4

b)

Period: $\frac{\pi}{9}$ ; Amplitude: 4

c)

Period: $-\frac{2\pi}{9}$ ; Amplitude: -4

d)

Period: $\frac{2\pi}{9}$ ; Amplitude: 4

28.

Write the equation for a sine function with a reflection over the x-axis, period of

\pi

, a phase shift of

\frac{\pi}{2}

, and a vertical shift of 4.

a)

$y=-\sin\left(2\theta-\pi\right)+4$

b)

$y=-\sin\left(x-\frac{\pi}{2}\right)+4$

c)

$y=-\sin\left(2\theta+\pi\right)+4$

d)

$y=-\sin\left(x+\frac{\pi}{2}\right)+4$

29.

$y=5\sin\left(6\theta+2\pi\right)-\frac{1}{2}$

Determine the phase shift of the given function.

a)

$\frac{\pi}{3}$

b)

$-\frac{\pi}{3}$

c)

$12\pi$

d)

$6\pi$

Graphs of Sine and Cosine

Total questions: 29

Worksheet time: 1hrs 23mins

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