Free Printable Trigonometric Functions and Unit Circle

1.

What is cos 60°?

a)

½

b)

^√3/₂

c)

^√2/₂

d)

1

2.

What is sin 45°?

a)

1

b)

^√3/₂

c)

½

d)

^√2/₂

3.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

4.

What is sin 30°?

a)

^√3/₂

b)

1

c)

½

d)

^√2/₂

5.

What is sin 90°?

a)

1

b)

0

c)

undefined

d)

½

6.

What is sin 60°?

a)

^√2/₂

b)

½

c)

^√3/₂

d)

1

7.

How many degrees is ^π/₆ radians?

a)

90°

b)

60°

c)

45°

d)

30°

8.

How many degrees is ^π/₄ radians?

a)

30°

b)

45°

c)

60°

d)

90°

9.

How many degrees is ^π/₂ radians?

a)

30°

b)

45°

c)

60°

d)

90°

10.

What is the exact coordinates of $\frac{3\pi}{4}$ on the unit circle?

a)

$\left(-\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)$

b)

$\left(-\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

c)

$\left(-\frac{\sqrt[]{3}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

d)

$\left(\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

11.

What quadrant is $\frac{-2\pi}{3}$ in?

a)

I

b)

II

c)

III

d)

IV

12.

What is the radius of a unit circle?

a)

1

b)

2

c)

$\frac{1}{2}$

d)

0

13.

What point on the unit circle corresponds to $\frac{3\pi}{2}$ ?

a)

(0, 1)

b)

(1, 0)

c)

(0, -1)

d)

(-1, 0)

14.

How many degrees would be in one quadrant of a circle?

a)

$45\degree$

b)

$180\degree$

c)

$30\degree$

d)

$90\degree$

15.

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

16.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

17.

The period of a function is

a)

the length of one cycle

b)

how high and low the function goes from the center line

c)

the range of the function

18.

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

19.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

20.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

21.

what is the period of y= -3sinx

a)

π

b)

2π

c)

3π

d)

4π

22.

What is an equation of the graph shown?

a)

y=cos1/2x

b)

y=cos2x

c)

y=sin 1/2 x

d)

y=sin2x

23.

What is the period of y = 4Cos(2x)?

a)

4π

b)

π

c)

2π

d)

π/2

24.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

25.

The vertical stretch of the graph; distance between the midline and the max/min.

a)

Period

b)

Cycle

c)

Axis of Oscillation

d)

Amplitude

26.

What is the maximum height on the Ferris wheel?

a)

1

b)

4

c)

7

d)

24

27.

a)

y = sin x

b)

y = - sin x

c)

y = cos x

d)

y = - cos x

28.

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: [-∞, ∞]

29.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

30.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

31.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

32.

Which equation?

a)

y= -cos(2x)

b)

y= cos(2x)

c)

y= (1/2)cosx

d)

y= (-1/2)cosx

33.

What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

34.

The midline of a trigonometric function____________________

a)

acts as a dividing line for the function's range values

b)

is the value or values a trigonometric function approaches but never reaches

c)

is always at y = 0

d)

is always at x = 0

e)

none of these

35.

What is the amplitude of the function $y = 3\cos(x)$ ?

a)

1

b)

2

c)

3

d)

0

36.

Which of the following functions has a period of $2\pi$ ?

a)

$y = \sin(2x)$

b)

$y = \cos(x)$

c)

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

d)

$y = \cos(3x)$

37.

The horizontal length required to complete one cycle.

a)

Period

b)

Cycle

c)

Axis of Oscillation

d)

Amplitude

38.

What is the period of this graph?

a)

2π

b)

π/2

c)

π/4

d)

π

39.

what type of function is this?

a)

sin

b)

cos

c)

tan

d)

cot

40.

what is the period of y= -3sin4x

a)

π/2

b)

2π/3

c)

3π/4

d)

There is no period

Trigonometric Functions and Unit Circle

Total questions: 40

Worksheet time: 3hrs 20mins

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