Free Printable 1.1-1.4 Review

1.

The terminal side of a 330° angle is in what Quadrant?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

The terminal side of a -45° angle is in what Quadrant?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

What is the degree measure of this angle?

a)

-230^o

b)

-590^o

c)

-490^o

d)

590^o

4.

What is the degree measure of this angle?

a)

325^o

b)

685^o

c)

595^o

d)

415^o

5.

An angle is in standard position if the initial side is along the _______?

a)

positive y-axis

b)

positive x-axis

c)

negative y-axis

d)

negative x-axis

6.

Graph the angle in standard position. $-220\degree$

a)

b)

c)

d)

7.

Which of the following shows $-210\degree$ graphed in standard position?

a)

b)

c)

d)

8.

Which of the following degree measures is represented by this diagram?

a)

$-220\degree$

b)

$385\degree$

c)

$-210\degree$

d)

$-480\degree$

9.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

10.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

11.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

12.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

13.

Which of the following angles are co-terminal to $-\frac{\pi}{2}$ ?

a)

$\frac{3\pi}{2}$ , $\frac{-5\pi}{2}$

b)

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

c)

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

d)

$\frac{5\pi}{2}$ , $-\frac{7\pi}{2}$

14.

Which of the following shows $-\frac{\pi}{4}$ graphed in standard position?

a)

b)

c)

d)

15.

Which of the following degree measures is represented by this diagram?

a)

$-\frac{3\pi}{4}$

b)

$\frac{6\pi}{5}$

c)

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

d)

$-\frac{7\pi}{4}$

16.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

17.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

18.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

19.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

20.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

21.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

22.

What is the exact value of sin π/4?

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

23.

What is the exact value of cos 4π/3?

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

24.

What is the exact value of sin 150°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

25.

What are the coordinates of 60° on the unit circle?

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

26.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

27.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

28.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

29.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

30.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

31.

Convert 150⁰ to Radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

32.

sin²x + cos²x =

a)

1

b)

1/sinx

c)

sec²x

d)

csc²x

33.

1 - sin²x =

a)

cos²x

b)

cos²x+1

c)

csc²x

d)

tan²x

34.

tan²x + 1 =

a)

csc²x

b)

sec²x

c)

sec²x - 1

d)

cscx

35.

a)

cot(u)

b)

cos(u)

c)

tan(u)

d)

csc(u)

e)

sec(u)

36.

a)

cot(u)

b)

cos(u)

c)

sin(u)

d)

csc(u)

e)

sec(u)

37.

a)

sec(u)

b)

cos(u)

c)

tan(u)

d)

sin(u)

e)

csc(u)

38.

What is the reciprocal function of sin(x)?

a)

sec(x)

b)

cos(x)

c)

cot(x)

d)

csc(x)

39.

What is csc(x) equivalent to?

a)

$\frac{1}{\sin x}$

b)

$\frac{1}{\tan x}$

c)

sin(x)

d)

$\frac{1}{\cos x}$

40.

Simplify this to a basic trigonometry function:
tan(x)csc(x)

a)

tanx

b)

secx

c)

cotx

d)

cscx

41.

Simplify: $\secθ\sinθ$

a)

cos θ

b)

csc θ

c)

tan θ

d)

cot θ

42.

Simplify: $\cos\theta\tan\theta$

a)

sin θ

b)

cos θ

c)

tan θ

d)

csc θ

43.

Simplify: $(\secθ-1)(\secθ+1)$

a)

sin ² θ

b)

cos ² θ

c)

tan ² θ

d)

sec ² θ

44.

a)

9/41

b)

40/41

c)

9/40

d)

3/10

45.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

46.

A full rotation is _____ radians.

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$2\pi$

d)

$4\pi$

47.

Which is the correct equation to solve for x?

a)

$\sin\left(24\degree\right)=\frac{x}{12}$

b)

$\cos\left(24\degree\right)=\frac{x}{12}$

c)

$\tan\left(24\degree\right)=\frac{x}{12}$

d)

$\cos\left(24\degree\right)=\frac{12}{x}$

48.

Find $\cot\theta$ if $\sin\theta=\frac{3}{5}$ and $0<\theta<\frac{\pi}{2}$

a)

$\cot\theta=\frac{3}{4}$

b)

$\cot\theta=\frac{4}{5}$

c)

$\cot\theta=\frac{4}{3}$

d)

$\cot\theta=\frac{5}{4}$

49.

Find $\tan\theta$ if $\cos\theta=\frac{\sqrt{3}}{2}$ and $\frac{3\pi}{2}<\theta<2\pi$

a)

$\tan\theta=-\frac{1}{\sqrt{3}}$

b)

$\tan\theta=-\sqrt{3}$

c)

$\tan\theta=\frac{-\sqrt{5}}{2}$

d)

$\tan\theta=-\frac{\sqrt{3}}{\sqrt{5}}$

50.

True or false: $\sin\theta$ is positive in quadrant 3?

a)

True

b)

False

51.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

52.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

53.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

54.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

55.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

56.

Find the area of the sector. Round your answer to the nearest tenth.

a)

3.9 m²

b)

7.9 m²

c)

9.6 m²

d)

11.8 m²

1.1-1.4 Review

Total questions: 56

Worksheet time: 9hrs 20mins

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