Free Printable Digital Day trig graphs and unit circle review

1.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

2.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

3.

cos(π)

a)

√3/2

b)

-√2/2

c)

-1

d)

1

4.

cos(5π/3)

a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

5.

tan(3π/4)

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

6.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

7.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

8.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

9.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

10.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

11.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

12.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

13.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

14.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

15.

Which trig function does this graph represent?

a)

sin

b)

sec

c)

tan

d)

cot

16.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

17.

Determine the equation

a)

tan θ

b)

cot θ

c)

tan 2θ

d)

cot 2θ

18.

What is the period of the function y=tan(³/₄θ)

a)

^3π/₄

b)

^3π/₈

c)

^4π/₃

d)

^2π/₃

19.

Which function below matches this graph? $\ \ \$

a)

1/2tan(x)

b)

1/2cot(x)

c)

-1/2tan(x)

d)

Both 1/2cot(x+ Pi/2) and -1/2tan(x)

20.

Which function below matches this graph?

a)

sec2(x)

b)

sec(x)

c)

csc2(x)

d)

2-sec(x)

21.

Which function below matches this graph?

a)

cot(x)

b)

cot4(x)

c)

cot8(x)

d)

π/4cot(x)

22.

Which function below matches this graph?

a)

tan(x)

b)

-tan(x)

c)

sec(x)

d)

-sec(x)

23.

Which function below matches this graph?

a)

1-csc(x)

b)

csc(x)

c)

-csc(x)

d)

1+csc(x)

24.

Which function below matches this graph?

a)

2+sec(x)

b)

sec2(x)

c)

2sec(x)

d)

sec(x-2)

25.

Which function below matches this graph?

a)

tan(x-π/4)

b)

tan(x+π/4)

c)

cot(x)

d)

π/4cot(x)

26.

What is the equation of the graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

27.

What is the equation for the graph shown.

a)

y = 4sinθ - 2

b)

y = 3tcosθ - 1

c)

y = 2tanθ - 4

d)

y = 2-4tanθ + 2

28.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

29.

What is the period of the equation shown?

a)

2π

b)

4π

c)

π / 2

d)

π

30.

What is the period of the equation shown?

a)

8π

b)

4π

c)

π / 4

d)

π / 2

31.

Describe the horizontal and vertical shifts.

a)

left π , up 4

b)

left π , down 3

c)

right π , up 4

d)

right π , down 3

32.

Where does the graph y = sin x begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

33.

What is the midline for
y=2cos(1/3x +π/6) +2

a)

1/3

b)

-2

c)

+2

d)

4

34.

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

35.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

36.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

37.

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

38.

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

39.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

40.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

41.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

42.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

43.

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

a)

up 2

b)

left 2

c)

right 2

d)

down 2

44.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

45.

Which equation?

a)

y= -cos(2x)

b)

y= cos(2x)

c)

y= (1/2)cosx

d)

y= (-1/2)cosx

46.

Describe the shift: cos(x-(π/4))

a)

Up π

b)

Down (π/4)

c)

Left (π/4)

d)

Right (π/4)

47.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

48.

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin (3 x)

d)

f(x) = cos (3 x)

49.

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

50.

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)

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

54.

What is the equation of the graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

55.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

56.

What is the period of this equation?
y = -5sin(3x)

a)

-5

b)

2pi/3

c)

2pi/5

d)

3

57.

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: [-∞, ∞]

58.

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

59.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

60.

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin (⅓ x)

d)

f(x) = cos (⅓ x)

61.

Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

62.

Which of these could be the equation of the graph?

a)

y = sin(x)

b)

y = sin(x + 90)

c)

y = sin(x - 90)

d)

y = sin (x + 180)

63.

What is the equation of this graph?

a)

y = sin(x) + 2

b)

y = sin(x) + 1

c)

y = sin(x) - 1

d)

y = sin(x) - 2

64.

What is the period of this equation?
$y=-5\sin\left(3x\right)$

a)

-5

b)

$\frac{2\pi}{3}$

c)

$\frac{2\pi}{5}$

d)

3

65.

Which function below describes only the following transformations?

Reflection over x-axis
Horizontal stretch by 2

a)

y=\sin(-2x)

b)

$y=-\sin(\frac{1}{2}x)$

c)

$y=-\tan\left(2x\right)$

d)

$y=\frac{-1}{2}\tan\left(x\right)$

66.

Which function below describes only the following transformations?

Vertical shift up 3
Horizontal shift right π/6

a)

$y=3+\cos(x-π/6)$

b)

$y=3\cos(x-π/6)$

c)

$y=\cos(x+π/6)-3$

d)

$y=\cos(3x+π/6)$

67.

When the period increases, what other change occurs?

a)

frequency increases

b)

frequency decreases

c)

amplitude increases

d)

amplitude decreases

e)

phase shift increases

68.

What can -c/b help you find?

a)

amplitude

b)

frequency

c)

phase shift

d)

midline

69.

What is the equation for the asymptotes of cot (x) ?

a)

$\pm n\pi$

b)

$\frac{\pi}{2}\pm n\pi$

c)

$\pm2n\pi$

d)

$\frac{\pi}{2}\pm2n\pi$

70.

What is the domain of tan(x) ?

a)

$x\ne\frac{\pi}{2}\pm n\pi$

b)

$x\ne\frac{\pi}{2}\pm2n\pi$

c)

$x\ne\pm n\pi$

d)

$x\ne\pm2n\pi$

Digital Day trig graphs and unit circle review

Total questions: 70

Worksheet time: 6hrs 27mins

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