Free Printable Pre-Calc: 2.2 Cofunctions Quiz

1.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

2.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

3.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

4.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

5.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

6.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

7.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

8.

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

9.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

10.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

11.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

12.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

13.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

14.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

15.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

16.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

17.

1) Find the cotangent of the angle: $\tan\ C\ =\ \frac{1}{2}$

(a)

18.

2) Find the cotangent of the angle: $\tan\ W\ =\ .25$

a)

2

b)

0.25

c)

1

d)

4

19.

3) Find the cotangent of the angle: $\tan\ B\ =\ 2.5$

a)

1.5

b)

0.2

c)

0.4

d)

3.0

20.

4) Find the cotangent of the angle: $\tan\ A\ =\ .10$

a)

10.5

b)

0.1

c)

1

d)

10

21.

5) Find the secant of the angle: $\cos R=\frac{1}{5}$

(a)

22.

6) Find the secant of the angle: $\cos T=.35$

(a)

23.

9) Find the cosecant of each angle: $\sin A=.98$

a)

1.05

b)

0.98

c)

1.0204

d)

1.0102

24.

12) Find the approximate cosecant of the angle: $\sin A=.012$

a)

60

b)

45

c)

75

d)

83

e)

90

25.

11) Find the cosecant of the angle: $\sin B=\frac{1}{3}$

a)

1

b)

2

c)

5

d)

3

e)

4

26.

8) If $\cos L=.15$ , sec=

a)

6.67

b)

4.00

c)

8.00

d)

5.50

e)

10.00

27.

10) Find the cosecant of each angle: $\sin B=.12$

a)

6.25

b)

8.3333

c)

10.5

d)

7.2

28.

13) If sec A = 2, cos A =

a)

0.5

b)

-0.5

c)

0

d)

1

29.

14) If tan A=4.5, cot A =

a)

0.5

b)

0.2222

c)

2.5

d)

1.0

30.

15) If csc A=6, sin A =

a)

1/6

b)

5/6

c)

2/3

d)

3/6

e)

1/2

31.

16) If $\sin\ A\ =\ \frac{1}{3}$ , csc A =

a)

2

b)

4

c)

5

d)

3

e)

1

32.

17) If $\cos\ A\ =\ .80$ , sec A =

a)

1.20

b)

1.25

c)

1.50

d)

0.80

e)

1.10

33.

19) sin 25 = cos

a)

sin(25°)

b)

tan(25°)

c)

cos(55°)

d)

cos(65°)

34.

21) cos 20 = sin

a)

sin 20°

b)

cos 70°

c)

tan 20°

d)

sin 50°

e)

sin 70°

35.

26) tan 14 = cot

a)

cot 76

b)

cot 45

c)

cot 14

d)

cot 90

e)

cot 54

36.

26) tan 14 = cot

a)

cot 76

b)

cot 45

c)

cot 14

d)

cot 90

e)

cot 54

37.

20) csc 71 =

a)

sin 90

b)

sec 19

c)

cos45

d)

cot 30

38.

What are the two OG trig functions?

a)

sine and cosine

b)

cosine and tangent

c)

sine and cosecant

d)

tangent and cotangent

39.

Select all the true statements.

a)

$\sin\left(26\right)=\cos\left(64\right)$

b)

$\cos\left(64\right)=\sin\left(26\right)$

c)

$\sin\left(15\right)=\cos\left(15\right)$

d)

$\tan\left(26\right)=\cos\left(64\right)$

40.

$\theta\ means...$

a)

"theta", a letter of the Greek alphabet, which is used to represent an angle in mathematics

b)

"alpha", a letter of the Greek alphabet, which is used to represent an angle in mathematics

c)

"beta", a letter of the Greek alphabet, which is used to represent an angle in mathematics

d)

"theta", a letter of the Greek alphabet, which is used to represent triangles in mathematics

41.

What trig identity is equal to sin A

a)

cos B

b)

cot A

c)

cos A

d)

sec A

e)

sec B

42.

What trig identity is equal to cos B

a)

sin A

b)

cot A

c)

cos A

d)

sec A

e)

sec B

43.

What trig identity is equal to sin B

a)

sin A

b)

cot A

c)

cos A

d)

sec A

e)

sec B

44.

What trig identity is equal to sec B

a)

sin A

b)

cot A

c)

cos A

d)

csc A

e)

sec B

45.

What trig identity is equal to csc B

a)

sin A

b)

cot A

c)

cos A

d)

sec A

e)

sec B

46.

What trig identity is equal to cos A

a)

sin B

b)

cot A

c)

cos A

d)

csc B

e)

sec B

47.

What trig identity is equal to cot B

a)

sin B

b)

cot A

c)

cos A

d)

tan A

e)

sec B

48.

What trig identity is equal to tan B

a)

sin B

b)

cot A

c)

cos A

d)

tan A

e)

sec B

49.

What trig identity is equal to tan A

a)

sin B

b)

cot B

c)

cos A

d)

csc B

e)

cot A

50.

What trig identity is equal to cot A

a)

sin B

b)

tan B

c)

cos A

d)

csc B

e)

tan A

51.

What trig identity is equal to sec A

a)

sin B

b)

csc B

c)

cos A

d)

csc B

e)

tan A

52.

What trig identity is equal to csc A

a)

sin B

b)

sec B

c)

cos A

d)

csc B

e)

tan A

53.

sin A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

cot

54.

____ = cos $\left(90^{\circ}-A\right)$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

cot A

55.

cos A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

cot

56.

tan A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

cot

57.

cot A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

cot

58.

sec A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

cot

59.

csc A = ___ $\left(90^{\circ}-A\right)$

a)

sin

b)

cos

c)

tan

d)

csc

e)

sec

60.

____ = sin $\left(90^{\circ}-A\right)$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

61.

____ = cot $\left(90^{\circ}-A\right)$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

62.

____ = tan $\left(90^{\circ}-A\right)$

a)

cot A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

63.

____ = csc $\left(90^{\circ}-A\right)$

a)

cot A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

64.

____ = sec $\left(90^{\circ}-A\right)$

a)

cot A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

65.

What is the ratio for Cosecant?

a)

Hyp/Adj

b)

Hyp/Opp

c)

Adj/Opp

d)

Opp/Adj

66.

Which trig function is represented by $\frac{Hyp}{Opp}$

a)

Secant

b)

Cosecant

c)

Cotangent

d)

Sine

e)

Cosine

67.

Which trig function is represented by $\frac{Hyp}{Adj}$

a)

Secant

b)

Cosecant

c)

Cotangent

d)

Sine

e)

Cosine

68.

Which trig function is represented by $\frac{Adj}{Opp}$

a)

Secant

b)

Cosecant

c)

Cotangent

d)

Sine

e)

Cosine

69.

What is the ratio for Secant?

a)

Hyp/Adj

b)

Hyp/Opp

c)

Adj/Opp

d)

Opp/Adj

70.

What is the ratio for Cotangent?

a)

Hyp/Adj

b)

Hyp/Opp

c)

Adj/Opp

d)

Opp/Adj

71.

Which function makes the statement true?

sin A * ____ = 1

a)

cos A

b)

cos B

c)

sin B

d)

tan B

e)

csc A

72.

Which function makes the statement true?

____ * csc A = 1

a)

cos A

b)

cos B

c)

sin A

d)

tan B

e)

csc A

73.

Which function makes the statement true?

cos A * ____ = 1

a)

sec A

b)

cos B

c)

sin A

d)

tan B

e)

csc A

74.

Which function makes the statement true?

____ * sec A = 1

a)

sec A

b)

cos B

c)

cos A

d)

tan B

e)

csc A

75.

Which function makes the statement true?

____ * cot A = 1

a)

sec A

b)

cos B

c)

cos A

d)

tan A

e)

csc A

76.

Which function makes the statement true?

tan A * ____ = 1

a)

cot A

b)

cos B

c)

cos A

d)

tan A

e)

csc A

77.

Which function makes the statement true?

tan A * cot A = -1

a)

False

b)

True

78.

The reciprocal identity of Sine is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

79.

The reciprocal identity of Cosine is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

80.

The reciprocal identity of Tangent is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

81.

The cofunction identity of Sine is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

82.

The cofunction identity of Tangent is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

83.

The cofunction identity of Secant is...

a)

Cosecant

b)

Cosine

c)

Secant

d)

Tangent

e)

Cotangent

84.

Which function makes the statement true?

____= $\frac{1}{\csc\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

cot A

85.

Which function makes the statement true?

____= $\frac{1}{\sin\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

cot A

86.

Which function makes the statement true?

____= $\frac{1}{\sec\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

cot A

87.

Which function makes the statement true?

____= $\frac{1}{\cos\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

sec A

e)

cot A

88.

Which function makes the statement true?

____= $\frac{1}{\cot\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

sec A

e)

cot A

89.

Which function makes the statement true?

____= $\frac{1}{\tan\ A}$

a)

sin A

b)

cos A

c)

tan A

d)

sec A

e)

cot A

90.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

91.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

92.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

93.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

94.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

95.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

96.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

97.

What is the formula for finding the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

98.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

99.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

100.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

101.

Which of the following sentences would belong in the proof that describes this image?

a)

The sum of the areas of the two smaller squares is equal to the area of the large square.

b)

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

c)

The difference of the areas of the two smaller squares is equal to the area of the large square.

d)

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

102.

Challenge! Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

103.

To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

104.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

105.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?

a)

13

b)

9.4

c)

6.2

d)

9

106.

Find the distance between these 2 points.

a)

5.8

b)

6.3

c)

8.1

d)

40

107.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

108.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

109.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $\frac{1}{2}$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

110.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $\frac{\sqrt[]{3}}{2}$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

111.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $\frac{\sqrt[]{3}}{3}$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

112.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $2$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

113.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $\frac{2\sqrt[]{3}}{3}$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

sec A

114.

a=1

b= $\sqrt[]{3}$

c=2

Which trig function yields $\sqrt[]{3}$ for angle A?

a)

sin A

b)

cos A

c)

tan A

d)

csc A

e)

cot A

115.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

116.

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

a)

sine

b)

cosine

c)

tangent

117.

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

a)

sine

b)

cosine

c)

tangent

118.

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

a)

sine

b)

cosine

c)

tangent

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

123.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

124.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

Pre-Calc: 2.2 Cofunctions Quiz

Total questions: 124

Worksheet time: 25hrs 53mins

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