Free Printable Assessment: Lessin 7-1 Trig Ratios and Acute Angles

1.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

2.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

3.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

4.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

5.

Solve for x. Round to the nearest tenth.

a)

5.3

b)

6.2

c)

8.5

6.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

7.

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.

8.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

9.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

10.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

11.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

12.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

13.

The ratio in a right triangle of opposite to adjacent side is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

14.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

15.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

16.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

17.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

18.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

19.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

20.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

21.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

22.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

23.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

24.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

25.

a)

57.99

b)

51.32

c)

38.68

d)

32.00

26.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

27.

a)

44.55

b)

22.69

c)

41.66

d)

38.49

28.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or $\sin^{-1}$

29.

The reciprocal of cosine is

a)

sine or sin

b)

secant or sec

c)

cosecant or csc

d)

arccos or $\cos^{-1}$

30.

The reciprocal of tangent is

a)

secant or sec

b)

cosecant or csc

c)

cotangent or cot

d)

arctan or $\tan^{-1}$

31.

If $\cos60\degree\ =\ \frac{1}{2}$ , then $\sec60\degree$ =

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

32.

If $\sin\theta=\frac{4}{5}$ , then $\csc\theta=$

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$\frac{5}{4}$

33.

If $\tan\theta=\frac{12}{5}$ , then $\cot\theta=$

a)

$-\frac{12}{5}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\frac{5}{12}$

34.

If $\sin\theta=\frac{1}{\sqrt{2}}$ , then $\csc\theta=$

a)

$\sqrt{2}$

b)

$\frac{1}{\sqrt{2}}$

c)

$-\sqrt{2}$

d)

$-\frac{1}{\sqrt{2}}$

35.

If $\cos\theta=-\frac{2}{\sqrt{3}}$ , then $\sec\theta=$

a)

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

b)

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

c)

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

d)

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

36.

If $\sin\theta=\frac{\sqrt{2}}{2}$ , then $\csc\theta=$

a)

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

b)

$\frac{2}{\sqrt{2}}\ which\ is\ \sqrt{2}$

c)

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

d)

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

37.

If $\sin0\degree=0$ , then $\csc0\degree=$

a)

0

b)

1

c)

$\frac{1}{0}$ which is undefined

d)

"eleventeen"

38.

What is the hypotenuse?

a)

7

b)

24

c)

25

39.

What is the side opposite of C?

a)

7

b)

24

c)

25

40.

What is sinC = ?

a)

24/25

b)

7/25

c)

24/7

41.

What is sin B?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

42.

What is cos B?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

43.

What is the TANGENT ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

$\frac{\text{opposite}}{\text{adjacent}}$

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

44.

What is the ratio for SINE?

a)

The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE

b)

The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE

c)

The ratio of the the leg OPPOSITE to the angle to the ADJACENT

45.

What is the ratio for COSINE?

a)

The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE

b)

The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE

c)

The ratio of the the leg OPPOSITE to the angle to the ADJACENT

46.

What is the ratio of Tangent W?

SOH-CAH-TOA

a)

$\frac{15}{12}=\frac{5}{4}$

b)

$\frac{12}{15}=\frac{4}{5}$

c)

$\frac{9}{15}$

d)

$\frac{12}{9}=\frac{4}{3}$

47.

Find X.

a)

24.3

b)

49.2

c)

27.5

d)

27.8

48.

Find X.

a)

2.9

b)

3.3

c)

8.1

d)

4.8

49.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

50.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

51.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

52.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

d)

30.1

53.

Find the cofunction of
csc(25^o)

a)

sec(25^o)

b)

sec(65^o)

c)

csc(65^o)

d)

sin(25^o)

54.

Find the cofunction of
sec(17^o)=

a)

sin(73^o)

b)

cos(73^o)

c)

csc(17^o)

d)

csc(73^o)

55.

Find the cofunction of cot 50°

a)

tan 50°

b)

cot 40°

c)

tan 40°

d)

Cot 50^o

56.

Find the cofunction of
sin(42^o)=

a)

cos(42^o)

b)

cos(48^o)

c)

csc(48^o)

d)

csc(42^o)

57.

In ∆ABC, where ∠C is a right angle,

cos A= √21 ⁄ 5 . What is sin B?

a)

√21 ⁄ 5

b)

√21 ⁄ 2

c)

2 ⁄ 5

d)

5 ⁄ √21

58.

In ∆ABC, the complement of ∠B is ∠A. Which statement is always true?

a)

tan∠A = tan∠B

b)

sin∠A = sin∠B

c)

cos∠A = tan∠B

d)

sin∠A = cos∠B

59.

In right triangle ABC, m∠C =90°. If cos B= 5 ⁄ 13, which function also equals 5 ⁄ 13?

a)

tanA

b)

tanB

c)

sinA

d)

sinB

60.

Each trig function has a "cofunction" (Ex: sine and cosine are cofunctions).

How are cofunctions related to each other? (Check all that apply)

a)

Cofunctions of complementary angles are equal.

b)

Cofunctions are reciprocals of each other.

c)

Cofunctions are inverses of each other.

d)

Cofunctions are negatives of each other.

61.

What is sin(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

62.

What is cos(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

63.

What is tan(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

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

64.

What is sin(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

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

65.

What is cos(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

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

66.

What is tan(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

67.

What is sin(45)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

68.

What is cos(45)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

$\frac{1}{\sqrt{2}}$

d)

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

e)

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

69.

What is tan(45)

a)

$\frac{1}{2}$

b)

$1$

c)

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

d)

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

70.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

71.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

72.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

73.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

74.

Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.

a)

10√3

b)

15

c)

5√3

d)

15√2

75.

Find a.

a)

3

b)

3√3

c)

6

d)

2√3

76.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

77.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

78.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

79.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

80.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

81.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

82.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

83.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

Assessment: Lessin 7-1 Trig Ratios and Acute Angles

Total questions: 83

Worksheet time: 3hrs 32mins

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