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Worksheets

Trigonometric Ratios

Total questions: 35

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

2.

What is the length of the adjacent side?

a)

8

b)

15

c)

17

3.

What is the length of the opposite side?

a)

8

b)

15

c)

17

4.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
5.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
6.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
7.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
8.
Which trigonometric ratio is correct?
a)
sinA= opp/adj
b)
cosA= opp/hyp
c)
tanA= opp/adj
d)
sinA= adj/opp
9.
 Find cosC
a)
16/34
b)
16/30
c)
30/34
d)
34/16
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)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
12.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
13.

Which ratio represents the cos(θ)?

a)

x/y

b)

x/z

c)

y/x

d)

y/z

14.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

15.

 Which triangle below shows the ratio as sin(x)=bc\sin\left(x\right)=\frac{b}{c}  ?

a)
b)
c)
16.

 Which triangle below shows the ratio as sin(x)=ac\sin\left(x\right)=\frac{a}{c}  ?

a)
b)
c)
17.

 Which triangle below shows the ratio as cos (x)=ac\cos\ \left(x\right)=\frac{a}{c}  ?

a)
b)
c)
18.

 Which triangle below shows the ratio as cos (x)=ab\cos\ \left(x\right)=\frac{a}{b}  ?

a)
b)
c)
19.

 Which triangle below shows the ratio as tan (x)=ca\tan\ \left(x\right)=\frac{c}{a}  ?

a)
b)
c)
20.

Which triangle below shows the ratio as  sin (x)=tu\sin\ \left(x\right)=\frac{t}{u}  ?

a)
b)
c)
21.

Which triangle below shows the ratio as  cos (x)=uv\cos\ \left(x\right)=\frac{u}{v}  ?

a)
b)
c)
22.

Which triangle below shows the ratio as  tan x=tv\tan\ x=\frac{t}{v}  ?

a)
b)
c)
23.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
24.

Tan X

a)

30/40

b)

30/50

c)

40/30

d)

40/50

25.

Sin X

a)

20/21

b)

21/29

c)

20/29

d)

29/20

26.

Sin A

a)

21/20

b)

21/29

c)

29/21

d)

20/29

27.

Sin C

a)

24/30

b)

18/30

c)

30/24

d)

30/18

28.

Sin Θ

a)

4/5

b)

3/4

c)

5/4

d)

3/5

29.

Cos D

a)

8/6

b)

8/10

c)

10/6

d)

6/10

30.

 Identify the trig ratio that may be used to find the marked unknown side.

a)

 Sin 38° = h15Sin\ 38\degree\ =\ \frac{h}{15}  

b)

 Sin 38° = 15hSin\ 38\degree\ =\ \frac{15}{h}  

c)

 Cos 38° = 15hCos\ 38\degree\ =\ \frac{15}{h}  

d)

 Tan 38°= h15Tan\ 38\degree=\ \frac{h}{15}  

31.

Identify the trig ratio that may be used to find the marked unknown side.

a)

 Sin 29°=x91Sin\ 29\degree=\frac{x}{91}  

b)

 Tan 29° = 91xTan\ 29\degree\ =\ \frac{91}{x} 

c)

 Cos 29° = x91Cos\ 29\degree\ =\ \frac{x}{91} 

d)

 Tan 29°= x91Tan\ 29\degree=\ \frac{x}{91} 

32.

Identify the trig ratio that may be used to find the marked unknown angle.

a)

 Sin y°=1218Sin\ y\degree=\frac{12}{18}  

b)

 Cos y° = 1812Cos\ y\degree\ =\ \frac{18}{12} 

c)

 Cos y° = 1218Cos\ y\degree\ =\ \frac{12}{18} 

d)

 Tan y°= 1218Tan\ y\degree=\ \frac{12}{18} 

33.

Identify the trig ratio that may be used to find the marked unknown side.

a)

Sin 38°=w15Sin\ 38\degree=\frac{w}{15}

b)

Cos 38° = 15wCos\ 38\degree\ =\ \frac{15}{w}

c)

Tan 38° = w15Tan\ 38\degree\ =\ \frac{w}{15}

d)

Sin 38°= 15wSin\ 38\degree=\ \frac{15}{w}

34.
Which sides are given?
a)
Adjacent and Hypotenuse
b)
Opposite and Adjacent
c)
Opposite and Hypotenuse
d)
Hypotenuse only
35.

Identify side LN, with respect to the marked angle.

a)

isosceles

b)

hypotenuse

c)

opposite

d)

adjacent