Free Printable Quiz: Trig Ratios

1.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

2.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

3.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

4.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

5.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

9/41

b)

40/41

c)

9/40

d)

3/10

9.

Find tan Z

a)

21 / 28

b)

28 / 21

c)

21 / 35

d)

35 / 21

10.

How do you locate the hypotenuse on a right triangle?

a)

It's across from angle A.

b)

It's always on the left side.

c)

It's across from the right angle.

d)

It is the shortest side.

11.

If tanA=12/16, find the value of sinA.

a)

20/12

b)

16/20

c)

12/16

d)

12/20

12.

If sinB=7/25, find the value of cosB.

a)

7/25

b)

24/25

c)

7/24

d)

24/7

13.

If cos A = 40/41, find the value of sin A.

a)

9/41

b)

40/41

c)

9/40

d)

3/10

14.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

15.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

16.

a)

$Cos\left(C\right)=\frac{168}{195}$

b)

$Cos\left(C\right)=\frac{99}{195}$

c)

$Cos\left(c\right)=\frac{168}{99}$

17.

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

a)

sine

b)

cosine

c)

tangent

18.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or $\sin^{-1}$

19.

The reciprocal of cosine is

a)

sine or sin

b)

secant or sec

c)

cosecant or csc

d)

arccos or $\cos^{-1}$

20.

The reciprocal of tangent is

a)

secant or sec

b)

cosecant or csc

c)

cotangent or cot

d)

arctan or $\tan^{-1}$

21.

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

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

22.

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

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$\frac{5}{4}$

23.

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

a)

$-\frac{12}{5}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\frac{5}{12}$

24.

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

a)

$\sqrt{2}$

b)

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

c)

$-\sqrt{2}$

d)

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

25.

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

a)

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

b)

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

c)

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

d)

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

26.

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

a)

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

b)

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

c)

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

d)

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

27.

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

a)

0

b)

1

c)

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

d)

"eleventeen"

28.

Use the following triangle to find the ratio for sinP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

29.

Use the triangle to find the ratio of secO

(a)

30.

Use the triangle to find the ratio of cotO

(a)

31.

Use the triangle to find the ratio of secP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

32.

Use the triangle to find the ratio for cscP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

33.

Given $\sin A=\frac{3}{5}$ and that angle A is in Quadrant I, find the exact value for $\cos A$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$\frac{5}{3}$

e)

$\frac{5}{4}$

34.

Given $\tan A=\frac{3}{4}$ and that angle A is in Quadrant I, find the exact value for $\sin A$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$\frac{5}{3}$

e)

$\frac{5}{4}$

35.

Given $\tan A=\frac{3}{4}$ and that angle A is in Quadrant I, find the exact value for $\csc A$

(a)

36.

The Pythagorean Theorem can be used to find

a)

missing side lengths in right triangles

b)

missing angles in right triangles

c)

both

37.

$\tan\theta\ =$

a)

$\frac{3\sqrt{10}}{20}$

b)

$\frac{3\sqrt{10}}{10}$

c)

$\frac{2\sqrt{10}}{3}$

d)

$\frac{2\sqrt{10}}{7}$

38.

$\cos\theta=$

a)

$\sqrt{3}$

b)

$36\sqrt{3}$

c)

$\frac{1}{2}$

d)

2

39.

$\csc\theta=$

a)

4/5

b)

5/4

c)

5/3

d)

3/5

40.

Find cos $A$ if $\tan A=\frac{7}{24}$

a)

24/25

b)

25/24

c)

24/7

d)

7/25

41.

Find cot $A$ if $\csc A=\frac{\sqrt{5}}{2}$

a)

1/2

b)

2

c)

$\sqrt{5}$

d)

$\frac{\sqrt{5}}{5}$

42.

Which of the following is the ratio for csc?

a)

\frac{hypotenuse}{opposite}

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{hypotenuse}$

43.

Which of the following is the ratio for sec?

a)

$\frac{adjacent}{hypotenuse}$

b)

\frac{hypotenuse}{adjacent}

c)

$\frac{opposite}{hypotenuse}$

d)

$\frac{hypotenuse}{opposite}$

44.

What is the length of the opposite side with respect to angle $\theta$ ?

a)

8

b)

15

c)

17

45.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

46.

Which ratio would you use for $\sec A$ ?

a)

$\frac{c}{b}$

b)

$\frac{c}{a}$

c)

$\frac{b}{c}$

d)

$\frac{a}{b}$

47.

Which trigonometric ratio is correct?

a)

$\sin A=\frac{opposite}{adjacent}$

b)

$\cos A=\frac{opposite}{hpypotenuse}$

c)

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

d)

$\sin A=\frac{adjacent}{opposite}$

48.

Select ALL of the following whose ratio would be $\frac{12}{13}$ .

a)

$\sin A$

b)

$\sin B$

c)

$\cos B$

d)

$\sec A$

e)

$\csc B$

49.

Select all of the following that are true based on the image.

a)

$\sec X=\frac{15}{9}$

b)

$\sec Z=\frac{12}{15}$

c)

$\csc Z=\frac{15}{9}$

d)

$\cot Z=\frac{9}{12}$

e)

$\cot X=\frac{9}{12}$

50.

Find CosZ as a decimal rounded the the nearest tenth.

a)

0.6

b)

0.8

c)

0.75

d)

1.33

51.

Which trig function would complete the expression: _______ $A=\frac{24}{25}$

a)

sin

b)

cos

c)

tan

52.

Which trig function would complete the expression: _______ $Z=\frac{12}{35}$

a)

sin

b)

cos

c)

tan

53.

Which trig function would complete the expression: _______ $C=\frac{40}{41}$

a)

sin

b)

cos

c)

tan

54.

Complete the following expression:
$\cos\ C\ =$ _________

a)

$\frac{4}{5}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$\frac{3}{5}$

55.

Reduce answers when necessary.

(a)

56.

Reduce answers when necessary.

(a)

57.

Reduce answers when necessary.

(a)

58.

Reduce answers when necessary.

(a)

59.

Which ratio is NOT an answer to the following trig functions?

sin C = _______

cos C = _______

tan C = _______

a)

$\frac{24}{7}$

b)

$\frac{24}{25}$

c)

$\frac{25}{7}$

d)

$\frac{7}{25}$

60.

Which ratio is NOT an answer to the following trig functions?

sin C = _______

cos C = _______

tan C = _______

a)

$\frac{35}{37}$

b)

$\frac{12}{37}$

c)

$\frac{35}{12}$

d)

$\frac{12}{35}$

61.

Are the following expressions correct?
$\sin\ X\ =\ \frac{20}{29},\ \ \cos\ X\ =\ \frac{21}{29},\ \ \tan\ X\ =\ \frac{29}{21}$

a)

True

b)

False

62.

Are the following expressions correct?
$\sin\ C\ =\ \frac{12}{13},\ \ \cos\ C\ =\ \frac{5}{13},\ \ \tan\ C\ =\ \frac{12}{5}$

a)

True

b)

False

63.

True or false: sin(x) = sin(y)

a)

True

b)

False

64.

What is the sum of x + y?

(a)

65.

True or false: cos(y) = sin(x)

a)

True

b)

False

66.

True or false: tan(x) = tan(y)

a)

True

b)

False

67.

True or false: cos(x) = sin(y)

a)

True

b)

False

68.

Which of the following would be equivalent to 12/13?

Check all that apply.

a)

cos(x)

b)

sin(x)

c)

cos(y)

d)

sin(y)

e)

tan(x)

Quiz: Trig Ratios

Total questions: 68

Worksheet time: 2hrs 45mins

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