Free Printable Test Review

1.

$\sin\frac{\pi}{4}$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$0$

2.

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

a)

0

b)

undefined

c)

1

d)

-1

3.

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

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

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

d)

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

4.

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

a)

-1

b)

1

c)

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

d)

undefined

5.

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

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

6.

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

a)

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

b)

-1

c)

1

d)

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

7.

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

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

8.

$\cot\ \frac{\pi}{2}$

a)

undefined

b)

0

c)

1

d)

$\frac{1}{2}$

9.

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

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

10.

$\tan\ -\pi$

a)

undefined

b)

0

c)

1

d)

-1

11.

Identify the Positive angle in both radians and degrees that represent point H.

a)

$150\degree,\ \frac{5\pi}{6}$

b)

$135\degree,\ \frac{3\pi}{4}$

c)

$180\degree,\ \pi$

d)

$210\degree,\ \frac{7\pi}{6}$

12.

Identify the Positive angle in both radians and degrees that represent point D.

a)

$60\degree,\ \frac{\pi}{3}$

b)

$45\degree,\ \frac{\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$90\degree,\ \frac{\pi}{2}$

13.

Identify the Positive angle in both radians and degrees that represent point L.

a)

$240\degree,\ \frac{4\pi}{3}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$270\degree,\ \frac{3\pi}{2}$

14.

Identify the Positive angle in both radians and degrees that represent point I.

a)

$180\degree,\ \pi$

b)

$210\degree,\ \frac{7\pi}{6}$

c)

$150\degree,\ \frac{5\pi}{6}$

d)

$360\degree,\ 2\pi$

15.

Name the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

16.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

17.

Name the angle indicated by the graph in both radians and degrees.

a)

$300\degree,\ \frac{5\pi}{3}$

b)

$315\degree,\ \frac{7\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$-300\degree,\ -\frac{5\pi}{3}$

18.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

a)

$300\degree,\ \frac{5\pi}{3}$

b)

$315\degree,\ \frac{7\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$-300\degree,\ -\frac{5\pi}{3}$

19.

Find the exact value of the trig ratio.
$\cos30\degree$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

20.

Find the exact value of the trig ratio.
$\sin180\degree$

a)

$0$

b)

$1$

c)

$\frac{1}{2}$

d)

$-1$

21.

Find the exact value of the trig ratio.
$\cos\left(-120\degree\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

22.

Find the exact value of the trig ratio.
$\cos\left(\frac{5\pi}{3}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

23.

Find the exact value of the trig ratio.
$\cos\left(\frac{7\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

24.

Find the exact value of the trig ratio.
$\sin\left(-\frac{11\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

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

c)

$\frac{1}{2}$

d)

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

25.

The unit circle...

a)

Has center at (1,1)

b)

Has a circumference of 1

c)

Has a diameter of 1

d)

Has a radius of 1

26.

Based on your unit circle sin(30^o)=

a)

sqt2/2

b)

1/2

c)

1

d)

sqt3/2

27.

Based on your unit circle cos(30^o)=

a)

1

b)

1/2

c)

sqt3/2

d)

sqt2/2

28.

Based on your unit circle cos(0^o)=

a)

1

b)

0

c)

-1

d)

1/2

29.

Based on your unit circle cos(90^o)=

a)

1

b)

0

c)

-1

d)

1/2

30.

Based on your unit circle sin(0^o)=

a)

1

b)

-1

c)

0

d)

1/2

31.

Based on your unit circle sin(90^o)=

a)

1/2

b)

0

c)

-1

d)

1

32.

For what angles are sine and cosine the same?

a)

0^o

b)

45^oand 135⁰

c)

45^oand 225⁰

d)

45^oand 315⁰

33.

What is the exact value of cos 330°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

34.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

35.

What is the exact value of cos 135°

a)

√2/2

b)

-√2/2

c)

√3/2

d)

-√3/2

36.

What are the coordinates of 210° on the unit circle?

a)

(−√3/2, −1/2)

b)

(√3/2, −1/2)

c)

(−√3/2, 1/2)

d)

(−1/2,−√3/2 )

37.

What the coordinates of 270° on the unit circle?

a)

0, 1

b)

1, 0

c)

-1, 0

d)

0, -1

38.

What is the exact value of sin 240°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

39.

What is the exact value of cos 315°

a)

-√2/2

b)

√2/2

c)

1/2

d)

√3/2

40.

π/2 is equal to how many degrees?

a)

180°

b)

90°

c)

135°

d)

240°

41.

4π/3 is equal to how many degrees?

a)

60°

b)

240°

c)

300°

d)

120°

42.

240°

a)

2π/3

b)

5π/6

c)

4π/3

d)

3π/4

43.

210°

a)

5π/4

b)

7π/6

c)

4π/3

d)

2π/3

44.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

45.

What is the ratio for cot θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{A}{O}$

b)

$\frac{H}{A}$

c)

$\frac{A}{H}$

d)

$\frac{H}{O}$

46.

What is the ratio for sec θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{O}{A}$

b)

$\frac{H}{A}$

c)

$\frac{A}{O}$

d)

$\frac{H}{O}$

47.

What is the ratio for csc θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{O}{A}$

b)

$\frac{A}{H}$

c)

$\frac{A}{O}$

d)

$\frac{H}{O}$

48.

What is the ratio for tan θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{O}{A}$

b)

$\frac{A}{H}$

c)

$\frac{A}{O}$

d)

$\frac{O}{H}$

49.

What is the ratio for cos θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{O}{A}$

b)

$\frac{A}{H}$

c)

$\frac{A}{O}$

d)

$\frac{O}{H}$

50.

What is the ratio for sin θ?

a = adjacent

o = opposite

h = hypotenuse

a)

$\frac{O}{A}$

b)

$\frac{H}{O}$

c)

$\frac{A}{O}$

d)

$\frac{O}{H}$

51.

In a 30°-60°-90° triangle, what is the ratio for the longer leg?

a)

x

b)

$x\ \sqrt[]{2}$

c)

2x

d)

$x\ \sqrt[]{3}$

52.

In a 30°-60°-90° triangle, what is the ratio for the shorter leg?

a)

x

b)

$x\ \sqrt[]{2}$

c)

2x

d)

$x\ \sqrt[]{3}$

53.

What theorem is used to find the missing side of a right triangle?

a)

$a^2+b^2=2c^2$

b)

$a^2=b^2+c^2$

c)

$a^2+b^2=c^2$

d)

$a^2+c^2=b^2$

54.

How do you find the Area of a Sector?

a)

ℓ=θ $\cdot$ r

b)

$A=\theta^2+r+\frac{1}{2}$

c)

$A=\frac{1}{2}\cdot\theta\cdot r^2$

d)

$A=r^2\cdot\theta$

55.

How do you find the Arc Length in a Sector?

a)

θ=ℓ*r

b)

ℓ=θ*r²

c)

r=θ*ℓ

d)

ℓ=θ*r

56.

How do you convert degrees to radians?

a)

Π/180

b)

180/Π

c)

180*Π

d)

180+Π

57.

How do you convert radians to degrees?

a)

180*Π

b)

180/Π

c)

Π/180

d)

180+Π

58.

In the Unit Circle, tan θ is the:

a)

y - coordinate

b)

$\frac{y\ -\ coordinate}{x-\ coordinate}$

c)

x - coordinate

59.

In the Unit Circle, cos θ is the:

a)

y - coordinate

b)

$\frac{y\ -\ coordinate}{x-\ coordinate}$

c)

x - coordinate

60.

In the Unit Circle, sin θ is the:

a)

y - coordinate

b)

$\frac{y\ -\ coordinate}{x-\ coordinate}$

c)

x - coordinate

61.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

62.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

63.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

64.

What is the exact value of sin 150°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

65.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

66.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

67.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

68.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

69.

a)

-√3/2

b)

-½

c)

-√2/2

d)

-1

70.

a)

√3/3

b)

√3

c)

1

d)

undefined

Test Review

Total questions: 70

Worksheet time: 1hrs 3mins

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