Free Printable PRE-CALCULUS review/quiz

1.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

2.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

3.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

4.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

5.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

6.

cot 3π/4

a)

-√2/2

b)

-1

c)

1

d)

√2/2

7.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

8.

cot π/2

a)

undefined

b)

0

c)

1

d)

1/2

9.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

10.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

11.

What unit is use in measuring the arc length?

a)

degree

b)

radian

c)

angle

d)

radius

12.

What do you call the circle with radius of 1 unit?

a)

small circle

b)

half circle

c)

unit circle

13.

How many degrees are there in π radian?

a)

90⁰

b)

100⁰

c)

180⁰

d)

360⁰

14.

What do you mean by "S" in the formula S = rϴ ?

a)

radian

b)

unit circle

c)

arc length

15.

In the formula S = rϴ , the symbol ϴ signifies?

a)

radian

b)

unit circle

c)

central angle

16.

What are the unit measure of an angle?

(click 2 options)

a)

radian

b)

unit circle

c)

radius

d)

ϴ

17.

Which of the following angle is in standard position?

a)

b)

c)

18.

On a circle of radius 30 cm, the arc subtends a central angle of ( 1)/6 radian.

What is the arc length?

a)

6 cm

b)

5 cm

c)

180 cm

19.

Find the radius of a circle if a central angle of 2/5 radian intercepts an arc whose length is 2 cm.

a)

2 cm

b)

5 cm

c)

10 cm

20.

What side of an angle that rotates?

a)

initial side

b)

terminal side

c)

both initial and terminal side

21.

Positive angles in a Unit Circle start at the initial side and rotate

a)

Clockwise

b)

Counter Clockwise

c)

Anti-Counter Clockwise

d)

Super Clockwise

22.

Increasing or decreasing the degree measure of an angle by an integer multiple of 360 or 2π results an a:

a)

Obtuse angle

b)

Coterminal angle

c)

Special Right Triangle

d)

Terminal Velocity

23.

Sine is a ratio of:

a)

opposite and adjacent sides

b)

opposite side and hypothenuse

c)

adjacent side and hypothenuse

d)

a²+ b² = c²

24.

Radian measure can be found by:

a)

Finding the ratio of circumference and diameter

b)

Finding the ratio of radius and pi

c)

Finding the ratio of arc length and measure of central angle

d)

Changing calculator setting to radians

25.

A full rotation of a circle can be measured in how many radians?

a)

180

b)

360

c)

π

d)

2π

26.

A full rotation of a circle can be measured in how many degrees?

a)

180

b)

360

c)

π

d)

2π

27.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

28.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

29.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

30.

What are the negative and positive coterminal angles of -225°?

a)

375°, -605°

b)

125°, -355°

c)

135°, -585°

d)

60°, -120°

31.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

32.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

33.

What is the reference angle?

a)

112

b)

68

c)

158

d)

248

34.

What is the degree measure of this angle?

a)

-230^o

b)

-590^o

c)

-490^o

d)

590^o

35.

What is the degree measure of this angle?

a)

325^o

b)

685^o

c)

595^o

d)

415^o

36.

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

37.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

38.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

39.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

40.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

41.

Find an angle coterminal with an angle which measures 11π ∕ 3.

a)

17 π / 3

b)

4π ∕ 3

c)

π ∕ 3

d)

8π ∕ 3

42.

csc Θ = 1/y, y≠0, True or False?

a)

True

b)

False

43.

tan Θ = y/ x, x≠1, True or False?

a)

True

b)

False

44.

Which of the following is equal to 1/ cot x?

a)

csc x

b)

cos x

c)

sec x

d)

tan x

45.

sec Θ = 1/x, x≠1, True or False?

a)

True

b)

False

46.

Find the value of cos Θ, if sin Θ = ½, Θ in Q1

a)

$\sqrt{3}/2$

b)

3/2

c)

0.5

d)

1/2

47.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

48.

cos 5π/3

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

49.

What is the exact value of $\sin\ 60\degree?$

a)

$\frac{1}{2}$

b)

$\frac{-1}{2}$

c)

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

d)

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

50.

Find the exact value of $\csc\ 360\degree?$

a)

1

b)

0

c)

-1

d)

$\propto$

51.

Using $45^o$ - $45^o$ - $90^o$ triangle in trigonometry, what is the value of sin $45^o$ ?

a)

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

b)

$\sqrt{2}$

c)

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

d)

1

52.

In $45^o-45^o-90^o$ triangle, what is the value of tangent $45^o$ ?

a)

-1

b)

1

c)

$\sqrt{2}$

d)

- $\sqrt{2}$

53.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

54.

cos 5π/3

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

55.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

56.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

57.

Express 225°in radians

a)

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

b)

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

c)

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

d)

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

58.

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)

59.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

60.

What is the radius of a unit circle?

a)

1

b)

2

c)

3

d)

4

61.

Cosecant $\theta$ is equal to

a)

x/y

b)

y/x

c)

r/y

d)

y/r

62.

The ratio of y/x.

a)

Tangent

b)

Cotangent

c)

Cosecant

d)

Secant

63.

The inverse of cosine $\theta$ .

a)

Cosecant

b)

Cotangent

c)

Secant

d)

Sine

64.

Where can we locate $\frac{4\pi}{3}$ ?

a)

Q1

b)

Q2

c)

Q3

d)

Q4

65.

What is the exact value of sine $\frac{5\pi}{6}$ ?

a)

$\frac{\sqrt[]{3}}{2},\frac{1}{2}$

b)

$-\frac{\sqrt[]{3}}{3},\frac{1}{2}$

c)

$-\frac{\sqrt[]{3}}{2},-\frac{1}{2}$

d)

$\frac{\sqrt[]{3}}{2},-\frac{1}{2}$

66.

The reference angle of sin 120^o.

a)

sin 30^o

b)

sin 45^o

c)

sin 60^o

d)

sin 90^o

67.

What is the coterminal angle of 210^o?

a)

30^o

b)

60^o

c)

150^o

d)

390^o

68.

Find the exact value of tan $\frac{7\pi}{4}$ ?

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$-1$

d)

$1$

69.

Find a coterminal angle to 5 degrees.

a)

365

b)

255

c)

-220

d)

-365

70.

Find a coterminal angle to -27 degrees.

a)

-387

b)

27

c)

323

d)

-393

71.

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

a)

30º

b)

40º

c)

395º

d)

440º

72.

Find a coterminal angle to -180 degrees.

a)

180

b)

90

c)

270

d)

360

73.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

74.

What is the reference angle?

a)

43

b)

-43

c)

47

d)

-47

75.

What is the reference angle?

a)

112

b)

68

c)

158

d)

248

76.

Which of the following is a correct representation of the reference angle of $\theta=210\degree$

a)

b)

c)

d)

77.

Which of the following is a correct representation of the reference angle of $\theta=-150\degree$

a)

b)

c)

d)

78.

Which of the following is a correct representation of the reference angle of $\theta=128\degree$

a)

b)

c)

d)

79.

Which of the following is a correct representation of the reference angle of $\theta=42\degree$

a)

b)

c)

d)

80.

Which of the following is a correct representation of the reference angle of $\theta=\frac{11\pi}{6}$

a)

b)

c)

d)

81.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

82.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

83.

Which function is the reciprocal function of the cosine?

a)

sine

b)

cosecant

c)

secant

d)

tangent

84.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

85.

Using $45^o$ - $45^o$ - $90^o$ triangle in trigonometry, what is the value of sin $45^o$ ?

a)

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

b)

$\sqrt{2}$

c)

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

d)

1

86.

In $45^o-45^o-90^o$ triangle, what is the value of tangent $45^o$ ?

a)

-1

b)

1

c)

$\sqrt{2}$

d)

- $\sqrt{2}$

87.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

88.

What is the function/ratio for tangent?

a)

$\tan x=\frac{opposite}{adjacent}$

b)

$\tan x=\frac{opposite}{hypotenuse}$

c)

$\tan x=\frac{adjacent}{hypotenuse}$

d)

$\tan x=\frac{hypotenuse}{opposite}$

89.

Ratio of cotangent of an angle.

a)

$\cot\theta=\frac{o}{h}=\frac{opposite}{hypotenuse}$

b)

$\cot\theta=\frac{a}{o}=\frac{adjacent}{opposite}$

c)

$\cot\theta=\frac{h}{a}=\frac{hypotenuse}{adjacent}$

d)

$\cot\theta=\frac{o}{a}=\frac{opposite}{adjacent}$

90.

$\csc\theta=\frac{1}{\sin\theta}$

a)

True

b)

False

91.

If you are given the two sides that are not the hypotenuse, which trigonometric function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

92.

Function for secant of an angle.

a)

$\sec=\frac{1}{\sin\ A}=\frac{hypotenuse}{adjacent}$

b)

$\sec=\frac{1}{\tan\ A}=\frac{hypotenuse}{adjacent}$

c)

$\sec=\frac{1}{\cot\ A}=\frac{hypotenuse}{adjacent}$

d)

$\sec=\frac{1}{\cos\ A}=\frac{hypotenuse}{adjacent}$

93.

Which one is one of the easy ways to learn trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

94.

What side does x represent?

a)

hypotenuse

b)

right angle

c)

adjacent

d)

opposite

95.

What are the six main trigonometric functions?

a)

a) sine, cosine, tangent, cotangent, secant, and cosecant

b)

b) sine, cosine, tangent, arc sine, arc cosine, and arc tangent

c)

c) sine, cosine, tangent, exponential, logarithmic, and power

d)

d) sine, cosine, tangent, derivative, integral, and limit

96.

Which trigonometric function is shown in the picture?

a)

a) Sine

b)

b) Cosine

c)

c) Tangent

d)

d) Cotangent

97.

Which of these is a graph of sine function?

a)

b)

c)

d)

98.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

99.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

100.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

PRE-CALCULUS review/quiz

Total questions: 100

Worksheet time: 2hrs 40mins

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