Free Printable Graph Sine & Cosine

1.

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

2.

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

3.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

4.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

5.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

6.

Which equation?

a)

y= -cos(2x)

b)

y= cos(2x)

c)

y= (1/2)cosx

d)

y= (-1/2)cosx

7.

Write an equation of a sine function with a period of π and amplitude of 7.

a)

y=7sin2πx

b)

y=7sinπx

c)

y=2sin7x

d)

y=7sin2x

8.

Where does the graph of y=sin(x) begin its first cycle?

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

9.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

10.

What is the phase shift of $y=\cos\left(5x-\frac{\pi}{2}\right)$

a)

5 to the left

b)

$\frac{5\pi}{2}$ to the right

c)

$\frac{\pi}{10}$ to the right

d)

$\frac{\pi}{2}$ to the right

11.

a)

$period:\ 6\pi$

b)

$period:\ 3\pi$

c)

$period:\ 2\pi$

d)

$period:\ 8\pi$

12.

a)

$period:\ \pi$

b)

$period:\ 2\pi$

c)

$period:\ 3\pi$

d)

$period:\ 4\pi$

13.

Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ .

a)

$y=6\sin8\theta$

b)

$y=6\sin8\left(\theta-1\right)$

c)

$y=6\sin\ \frac{1}{4}\theta$

d)

$y=6\sin\theta$

14.

$y=2\sin\left(6x-\frac{\pi}{4}\right)-2$

Choose all answers that apply.

a)

Amplitude is 2

b)

Amplitude is -2

c)

Midline is y=2

d)

Midline is y=-2

e)

Phase shift is π/24 to the right

15.

Find the phase shift of $y=-4\cos\left(\frac{1}{4}x+\frac{\pi}{4}\right)$

a)

2π units to the right

b)

π units to the right

c)

π units to the left

d)

2π units to the left

Graph Sine & Cosine

Total questions: 15

Worksheet time: 26mins

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