Free Printable Trigonometry Unit (Algebra 2)

1.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

2.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

3.

What is the ratio for Tangent?

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

4.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

5.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

6.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

7.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

8.

What is the length of the side adjacent to ∠Z?

a)

16

b)

30

c)

34

9.

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

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

10.

What type of triangle is the context of our study of trigonometry?

a)

right triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

11.

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

12.

What is the correct ratio set up for finding the tangent of angle A? Remember: Tangent = opposite/adjacent.

a)

20/12

b)

12/20

c)

12/16

d)

16/12

13.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

14.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

15.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

16.

cos B = ? Remember: The cosine ratio is adjacent/hypotenuse.

a)

12/13

b)

12/5

c)

5/13

d)

5/12

17.

What is the green side labeled as using the starred angle as a starting point?

a)

adjacent

b)

opposite

c)

hypotenuse

18.

What is the green side labeled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

19.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

20.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

21.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

22.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

23.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

24.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

25.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

26.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

27.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

28.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

29.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

30.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

31.

Set up the problem.

a)

sin(47) = x/28

b)

cos(47) = x/28

c)

tan(47) = x/28

d)

cos(47) = 28/x

32.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

33.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

34.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

35.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

36.

What would you use to solve for a?

a)

sin

b)

cos

c)

tan

d)

Pythagorean theorem

37.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

38.

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

39.

Find sin A.

a)

32/40

b)

32/24

c)

24/40

d)

24/32

40.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

41.

Which trig equation would you use to find the measure of the indicated angle (?)

a)

$\tan\left(\theta\right)=\frac{5}{4}$

b)

$\sin\left(\theta\right)=\frac{4}{5}$

c)

$\cos\left(\theta\right)=\frac{5}{4}$

d)

$\cos\left(\theta\right)=\frac{4}{5}$

42.

Which trig equation would you use to find the measure of the indicated angle (?)

a)

$\cos\left(?\right)=\frac{23}{28}$

b)

$\sin\left(?\right)=\frac{23}{28}$

c)

$\tan\left(?\right)=\frac{23}{28}$

d)

$\tan\left(?\right)=\frac{28}{23}$

43.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

44.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

33°

b)

49°

c)

39°

d)

41°

45.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

46.

Solve for x.

a)

50

b)

40

c)

41

d)

49

47.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

48.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

49.

What should be typed into a calculator (in degree mode) to solve for x?

a)

$\sin\left(\frac{3}{7}\right)$

b)

$\sin^{-1}\left(\frac{3}{7}\right)$

c)

$7\sin^{-1}\left(3\right)$

d)

$\sin^{-1}\left(\frac{7}{3}\right)$

50.

Which of the following would you use to find the measure of an angle?

a)

Pythagorean theorem

b)

Sin, Cos, or Tan

c)

Sin^-1, Cos^-1, or Tan^-1

d)

Chord-Chord Product Theorem

Trigonometry Unit (Algebra 2)

Total questions: 50

Worksheet time: 25mins

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