Free Printable SUB032024

1.

Convert 150° to radians.

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

2.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

3.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

4.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

5.

Evaluate: csc(3π/4)

a)

√2/2

b)

-√2/2

c)

√2

d)

-√2

6.

Find sin(-240°)

a)

(√3)/2

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

7.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

8.

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

a)

y

b)

x

c)

x/y

d)

y/x

9.

True or False. Only the cosine trigonometric function is positive in Quadrant II.

a)

True

b)

False

10.

What is the order of the coordinate pairs for the points on the Unit Circle?

a)

$\left(\tan\theta,\sin\theta\right)$

b)

$\left(\cot\theta,\cos\theta\right)$

c)

$\left(\sin\theta,\cos\theta\right)$

d)

$\left(\cos\theta,\sin\theta\right)$

11.

Evaluate $\sin\left(\frac{23\pi}{6}\right)$ .

a)

$-\frac{\sqrt{3}}{2}$

b)

$\frac{\sqrt{3}}{3}$

c)

$-\frac{1}{2}$

d)

$\sqrt{3}$

12.

a)

x=4

b)

x=2

c)

y=4\sqrt{2}

d)

$y=\sqrt{4}$

13.

a)

x=13

b)

x=15

c)

$y=15\sqrt{2}$

d)

$y=13\sqrt{2}$

14.

a)

$x=23\sqrt{3}$

b)

$x=\sqrt{46}$

c)

y=46

d)

$y=23$

15.

a)

$x=8\sqrt{3}$

b)

x=16

c)

y=8

d)

y= $16\sqrt{3}$

16.

a)

$x=9\sqrt{3}$

b)

x=9

c)

y=18

d)

y= $\sqrt{18}$

17.

A square has a diagonal length of 13 m. What is the side length of the square, to the nearest centimeter?

a)

9.19

b)

18.38

c)

5.10

d)

13

18.

Find x, rounded to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

19.

Solve for the missing angle.

a)

50

b)

0.053

c)

36.9

d)

95

20.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

21.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

22.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

23.

Find the value of x. Round to the nearest hundredth.

For example, 2.145 would be rounded to 2.15.

(a)

24.

Solve for the missing side. Round to the nearest hundredth.

(a)

25.

Find the value of x. You should NOT get a decimal.

(a)

26.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

27.

CHALLENGE:

Find the value for the following expression: $\sec\left(\frac{5\pi}{6}\right)\cdot\csc\left(\frac{4\pi}{3}\right)$

(HINT: Change each to its corresponding value then multiply.)

a)

$\frac{2}{3}$

b)

$\frac{\sqrt[]{3}}{2}$

c)

$\frac{2\sqrt[]{3}}{3}$

d)

$\frac{4}{3}$

28.

What is the value of cos(90°)?

a)

0

b)

1

c)

-1

d)

undefined

29.

Which trigonometric function is undefined when θ = 90°?

a)

sin(θ)

b)

tan(θ)

c)

cos(θ)

d)

csc(θ)

30.

What is the period of the sine function?

a)

$2\pi$

b)

$\pi$

c)

$\frac{\pi}{2}$

d)

$4\pi$

31.

What is the vertical shift for y = 4cos(1/2x +π) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

32.

What is the period for y = 4cos(1/2x +π) - 2?

a)

pi/2

b)

pi

c)

3pi

d)

4pi

33.

What is the amplitude for y = 4cos(1/2x +π) - 2?

a)

2

b)

pi/2

c)

pi

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.

What is the equation of the graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

36.

What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

37.

What is the equation of the graph?

a)

y = -2 cos x - 3

b)

y = 3 cos x - 2

c)

y = -7 cos x - 3

d)

y = -3 cos x - 4

38.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

39.

What is the amplitude and period of the function: y = 2/5 sin(9x)

a)

Amplitude: 2/5 Period: 2π/9

b)

Amplitude: 2/5 Period: π/6

c)

Amplitude: 5/2 Period: 2π/9

d)

Amplitude: 5/2 Period: π/6

40.

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

a)

4π

b)

π

c)

2π

d)

π/2

41.

The amplitude of y = -8sin(3x)+5...

a)

5

b)

3

c)

-8

d)

8

42.

a)

$period:\ 6\pi$

b)

$period:\ 3\pi$

c)

$period:\ 2\pi$

d)

$period:\ 8\pi$

43.

a)

y = 4 sin 8x

b)

y = 4 cos 8x

c)

y = 4 sin 1/4x

d)

y = 4 cos 1/4x

44.

Assuming no transformations, what type of function is this?

a)

sin

b)

cos

c)

tan

d)

cot

45.

If no dilations exist, what is the normal period of a sine or cosine function?

a)

1/2π

b)

2π

c)

π

d)

π/2

46.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

47.

Where does the graph of cosine begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

48.

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

a)

(0,0)

b)

(1,0)

c)

(0,Pi)

d)

(1, Pi)

49.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

50.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

51.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

52.

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

a)

66 degrees

b)

80 degrees

c)

30 degrees

d)

19 degrees

53.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

SUB032024

Total questions: 53

Worksheet time: 2hrs 29mins

Similar Resources on Wayground