Free Printable Unit 8 Review (Algebra 2)

1.

Which of the following shows $150\degree$ in standard positon?

a)

b)

c)

d)

2.

Which of the following shows $\frac{5\pi}{4}$ graphed in standard position?

a)

b)

c)

d)

3.

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

a)

b)

c)

d)

4.

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)

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

5.

sin 30 degrees

a)

1/2

b)

√3/2

c)

-1/2

d)

√2/2

6.

cos 30 degrees

a)

1/2

b)

√3/2

c)

-1/2

d)

√2/2

7.

cos 45 degrees

a)

1/2

b)

√3/2

c)

√2/2

d)

√2

8.

cos(5π/6)

a)

1/2

b)

-√3/2

c)

√3/2

d)

-1/2

9.

sin(5π/3)

a)

1/2

b)

-√3/2

c)

√3/2

d)

-1/2

10.

Which function is positive in quadrant IV?

a)

$\sin\theta$

b)

$\cos\theta$

c)

$\tan\theta$

d)

$\csc\theta$

11.

cos $\pi$

a)

0

b)

1

c)

-1

d)

undefined

12.

tan 90

a)

0

b)

1

c)

-1

d)

undefined

13.

Which of the following is closest to the measure of the angle shown?

a)

30º

b)

40º

c)

395º

d)

440º

14.

Find a coterminal angle to -180 degrees.

a)

180

b)

90

c)

270

d)

360

15.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

16.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

17.

Find the NEGATIVE co-terminal angle for:

$\frac{3\pi}{7}$

a)

$\frac{17\pi}{7}$

b)

$-\frac{11\pi}{7}$

c)

$-\frac{17\pi}{14}$

d)

$\frac{5\pi}{7}$

18.

Find the NEGATIVE co-terminal angle for:

$\frac{\pi}{2}$

a)

$\frac{5\pi}{4}$

b)

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

c)

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

d)

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

19.

The POSITIVE co-terminal angle for $-14\degree$ is (a) degrees.

20.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

Find cscΘ.

a)

15/17

b)

17/15

c)

8/17

d)

17/8

28.

What is the reciprocal of sin(x)?

a)

cos(x)

b)

csc(x)

c)

sec(x)

d)

cot(x)

29.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

30.

Find cotΘ.

a)

3/4

b)

4/3

c)

5/4

d)

5/3

31.

Find secΘ.

a)

17/15

b)

15/17

c)

8/17

d)

17/8

32.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

33.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

34.

Convert to degrees: $\frac{\pi}{2}$

a)

$0\degree$

b)

$45\degree$

c)

$60\degree$

d)

$90\degree$

35.

Convert to radians $60\degree$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{6}$

d)

$\frac{\pi}{2}$

36.

Convert 300° to a radian measure.

a)

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

b)

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

c)

$\frac{5}{3}\pi$

d)

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

37.

Convert 150° to a radian measure.

a)

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

b)

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

c)

$\frac{6}{7}\pi$

d)

$\frac{5}{4}\pi$

38.

What is the exact value of sin (π/4)

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

39.

What is the exact value of cos (5π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

40.

What radian measure corresponds to the point on the unit circle?

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

41.

Find the exact value of the cos (225⁰)

a)

-√3/2

b)

√3/2

c)

√2/2

d)

-√2/2

42.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

43.

csc(30^o)

a)

-√3/2

b)

½

c)

2√3 /3

d)

2

44.

sec(90^o)

a)

UND

b)

1

c)

-1

d)

0

45.

Check ALL that are negative in Quad IV

a)

tan

b)

csc

c)

sec

d)

cot

46.

csc 330⁰

a)

2

b)

-2

c)

√2

d)

-√2

47.

What is the value of $\cos\left(\frac{5\pi}{3}\right)$ ?

a)

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

b)

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

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

48.

If $\sin\theta=-\frac{6}{13}$ , what is $\csc\theta$ ?

a)

$\frac{13}{6}$

b)

$\frac{6}{13}$

c)

$-\frac{13}{6}$

d)

undefined

e)

1

49.

Select all that are equal to 1

a)

$\cos\left(2\pi\right)$

b)

$\sin\left(\frac{\pi}{2}\right)$

c)

$\sin\left(270^o\right)$

d)

$\tan\left(\frac{\pi}{4}\right)$

e)

$\cos\left(\pi\right)$

50.

What is the exact value of $\cot\left(\frac{\pi}{2}\right)$ ?

a)

0

b)

1

c)

-1

d)

undefined

51.

$\cot\left(300^o\right)$

a)

$\frac{1}{\sqrt{3}}$

b)

$-\sqrt{3}$

c)

$\sqrt{3}$

d)

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

52.

Select all that are equal to 0.

a)

$\cot\left(\pi\right)$

b)

$\tan\left(180^o\right)$

c)

$\cos\left(\frac{3\pi}{2}\right)$

d)

$\sin\left(90^o\right)$

53.

What is the exact value of $\sin\left(\frac{13\pi}{6}\right)$ ?

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

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

d)

$2$

54.

What is the exact value of $\sec\left(-\frac{\pi}{4}\right)$ ?

a)

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

b)

$\frac{\sqrt{2}}{2}$

c)

$\sqrt{2}$

d)

$\frac{1}{2}$

55.

Which of these are the same as $\tan\left(315^o\right)$ ?

a)

$\tan\left(-315^o\right)$

b)

$\tan\left(\frac{3\pi}{2}\right)$

c)

$\sin\left(675^o\right)$

d)

$\tan\left(-45^o\right)$

56.

What is the exact value $\cot\left(\frac{10\pi}{3}\right)$ ?

a)

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

b)

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

c)

$-\sqrt{3}$

d)

$\frac{1}{3}$

57.

Which of these statements is true?

a)

$\sin\left(180^o\right)=-1$

b)

$-\frac{7\pi}{6}$ radians is in Quadrant III

c)

$\cot\left(\pi\right)=0$

d)

$\sec\left(60^o\right)=2$

58.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

59.

Evaluate: csc(3π/4)

a)

√2/2

b)

-√2/2

c)

√2

d)

-√2

60.

$Sin^2\theta\ +\ Cos^2\theta\ =1\ \$ ,

Given the Identity above, Which of the following is equivalent to $Cos^2\theta$ ?

a)

$\tan^2\theta\ -1$

b)

$1+Cos^2\theta$

c)

$1-Sin^2\theta$

d)

$Sin^2\theta-1$

61.

$Sin^2\theta\ +\ Cos^2\theta\ =1\ \$ ,

Given the Identity above, Which of the following is equivalent to $Sin^2\theta$ ?

a)

$\tan^2\theta\ -1$

b)

$1-Cos^2\theta$

c)

$1-Sin^2\theta$

d)

$Sin^2\theta-1$

62.

$\frac{Cos\theta}{Sin\theta}$ is equivalent to ____

a)

$Sec\theta$

b)

$-Cot\theta$

c)

$Cot\theta$

d)

$Tan\theta$

63.

$\frac{Sin\theta}{Cos\theta}\times Tan\theta$ is equivalent to ____

a)

$1$

b)

$Tan^2\theta$

c)

$Cot^2\theta$

d)

$Tan\theta$

64.

$\frac{Cos\theta}{Cos\theta}$ is equivalent to ___

a)

0

b)

infinity

c)

$Cos^2\theta$

d)

1

e)

Undefined

65.

$\frac{1}{Cos^2\theta}$ is equivalent to ___

a)

$Csc^2\theta$

b)

infinity

c)

$Cos^2\theta$

d)

$\sec^2\theta$

e)

Undefined

66.

$\sec\theta\cos\theta-\cos^2\theta$ Write as a monomial with a single trigonometric function

a)

$\sin2\theta$

b)

$\sin^2\theta$

c)

$\cos^2\theta$

d)

$\tan\theta$

67.

$Cos^2\theta\ +\cos^2\theta\tan^2\theta$ Simplify the expression

a)

1

b)

0

c)

6

d)

3

68.

$\cos x\tan x=$

a)

$\cos x$

b)

$\tan x$

c)

$\sin x$

d)

$\cot x$

69.

$\csc x\tan x=$

a)

$\sec x$

b)

$\csc x$

c)

$\sin x$

d)

$\cos x$

70.

$\tan x\ \cot x-\cos^2x=$

a)

$\sin^2x$

b)

$\cos^2x$

c)

$\tan^2x$

d)

$\cot^2x$

e)

1

71.

$\sec^2x-\sin x\ \csc x=$

a)

$\sin^2x$

b)

$\cos^2x$

c)

$\tan^2x$

d)

$\cot^2x$

e)

1

Unit 8 Review (Algebra 2)

Total questions: 71

Worksheet time: 5hrs 11mins

Similar Resources on Wayground