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Worksheets

A Lot of Trig Ratios Practice

Total questions: 65

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

In the figure shown, what is sin x, cos x, and tan x?

a)

sin(x)=4050,cos(x)=2050,tanx=3040\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{20}{50},\tan x=\frac{30}{40}

b)

sin(x)=3050,cos(x)=4050,tanx=3040\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{40}{50},\tan x=\frac{30}{40}

c)

sin(x)=4050,cos(x)=3050,tanx=3050\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{30}{50},\tan x=\frac{30}{50}

d)

sin(x)=3050,cos(x)=5040,tanx=4030\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{50}{40},\tan x=\frac{40}{30}

2.

In the figure shown, what is sin A, cos A, and tan A?

a)

 sinA=815,cosA=1517,tanA=158\sin A=\frac{8}{15},\cos A=\frac{15}{17},\tan A=\frac{15}{8} 

b)

 sinA=1517,cosA=817,tanA=158\sin A=\frac{15}{17},\cos A=\frac{8}{17},\tan A=\frac{15}{8} 

c)

 sinA=817,cosA=1517,tanA=158\sin A=\frac{8}{17},\cos A=\frac{15}{17},\tan A=\frac{15}{8} 

d)

 sinA=1517,cosA=815,tanA=815\sin A=\frac{15}{17},\cos A=\frac{8}{15},\tan A=\frac{8}{15} 

3.

In the figure shown, what is sin Z and cos C?

a)

 sinZ=45,cosC=45\sin Z=\frac{4}{5},\cos C=\frac{4}{5} 

b)

 sinZ=35,cosC=35\sin Z=\frac{3}{5},\cos C=\frac{3}{5} 

c)

 sinZ=45,cosC=35\sin Z=\frac{4}{5},\cos C=\frac{3}{5} 

d)

 sinZ=35,cosC=45\sin Z=\frac{3}{5},\cos C=\frac{4}{5} 

4.

In the figure,  ΔBACΔEAF\Delta BAC\sim\Delta EAF , using the figure, what is tan A? (REDUCE)

a)

1/10

b)

5/2

c)

3/5

d)

10/3

5.

What is the tangent of angle C?

a)

xw\frac{x}{w}

b)

wr\frac{w}{r}

c)

xr\frac{x}{r}

d)

rx\frac{r}{x}

6.

 oppositeadjacent \frac{opposite}{adjacent}\   is the correct ratio for _____. 

a)

sin

b)

cos

c)

tan

d)

sec

7.

 oppositehypotenus \frac{opposite}{hypotenus}\   is the correct ratio for _____. 

a)

sin

b)

cot

c)

csc

d)

cos

8.

 adjacenthypotenus \frac{adjacent}{hypotenus}\   is the correct ratio for _____. 

a)

sec

b)

tan

c)

csc

d)

cos

9.

 adjacentopposite \frac{adjacent}{opposite}\   is the correct ratio for _____. 

a)

sin

b)

csc

c)

cot

d)

sec

10.

cosA

a)

2920\frac{29}{20}

b)

2129\frac{21}{29}

c)

2029\frac{20}{29}

d)

2120\frac{21}{20}

11.

tanA

a)

2920\frac{29}{20}

b)

2129\frac{21}{29}

c)

2029\frac{20}{29}

d)

2120\frac{21}{20}

12.

sinC

a)

2920\frac{29}{20}

b)

2129\frac{21}{29}

c)

2029\frac{20}{29}

d)

2120\frac{21}{20}

13.

sinC

a)

724\frac{7}{24}

b)

2425\frac{24}{25}

c)

725\frac{7}{25}

d)

247\frac{24}{7}

14.

cosC

a)

1213\frac{12}{13}

b)

513\frac{5}{13}

c)

512\frac{5}{12}

d)

1312\frac{13}{12}

15.

Which is the correct ratio for sin A?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

16.

Which is the correct ratio for cos A?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

17.

Which is the correct ratio for tan A?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

18.

Which is the correct ratio for tan B?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

19.

Which is the correct ratio for cos B?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

20.

Which is the correct ratio for cos B?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

21.

Which is the correct ratio for sin B?

a)

 45\frac{\text{4}}{\text{5}}  

b)

 43\frac{4}{3}  

c)

 35\frac{3}{5}  

d)

 34\frac{3}{4}  

22.

Which is the correct ratio for sin F?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

23.

Which is the correct ratio for cos F?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

24.

Which is the correct ratio for tan F?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

25.

Which is the correct ratio for tan G?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

26.

Which is the correct ratio for sin G?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

27.

Which is the correct ratio for cos G?

a)

513\frac{5}{13}

b)

1213\frac{12}{13}

c)

512\frac{5}{12}

d)

125\frac{12}{5}

28.

Which is the correct ratio for cos A?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

29.

Which is the correct ratio for sin A?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

30.

Which is the correct ratio for tan A?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

31.

Which is the correct ratio for tan B?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

32.

Which is the correct ratio for cos B?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

33.

Which is the correct ratio for sin B?

a)

 2021\frac{20}{21} 

b)

 2129\frac{21}{29} 

c)

 2120\frac{21}{20} 

d)

 2029\frac{20}{29} 

34.

Which is the correct ratio for sin R?

a)

 725\frac{7}{25} 

b)

 724\frac{7}{24} 

c)

 2425\frac{24}{25} 

d)

 247\frac{24}{7} 

35.

Which is the correct ratio for cos R?

a)

 725\frac{7}{25} 

b)

 724\frac{7}{24} 

c)

 2425\frac{24}{25} 

d)

 247\frac{24}{7} 

36.

Which is the correct ratio for tan R?

a)

 725\frac{7}{25} 

b)

 724\frac{7}{24} 

c)

 2425\frac{24}{25} 

d)

 247\frac{24}{7} 

37.

Which is the correct ratio for tan Q?

a)

 725\frac{7}{25} 

b)

 724\frac{7}{24} 

c)

 2425\frac{24}{25} 

d)

 247\frac{24}{7} 

38.

Which is the correct ratio for cos Q?

a)

 725\frac{7}{25} 

b)

 724\frac{7}{24} 

c)

 2425\frac{24}{25} 

d)

 247\frac{24}{7} 

39.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
40.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
41.

What is the ratio for Sine?

a)

hypopp\frac{hyp}{opp}

b)

opphyp\frac{opp}{hyp}

c)

oppadj\frac{opp}{adj}

d)

adjopp\frac{adj}{opp}

42.

What is the ratio for Cosine?

a)

opphyp\frac{opp}{hyp}

b)

oppadj\frac{opp}{adj}

c)

adjopp\frac{adj}{opp}

d)

adjhyp\frac{adj}{hyp}

43.

What is the ratio for Tangent

a)

opphyp\frac{opp}{hyp}

b)

adjopp\frac{adj}{opp}

c)

oppadj\frac{opp}{adj}

d)

hypopp\frac{hyp}{opp}

44.
Which side is adjacent to angle x?
a)
1
b)
2
c)
3
45.
Which side is opposite angle x?
a)
1
b)
2
c)
3
46.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
47.

Which trig function would you use to solve for x?

a)

sin40=x19\sin40=\frac{x}{19}

b)

cos40=x19\cos40=\frac{x}{19}

c)

tan40=x19\tan40=\frac{x}{19}

48.

Find tangent of θ.

a)

8/12

b)

23/12

c)

8/23

d)

12/23

49.

What is the formula for Sine?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

50.

What is the formula for Cosine?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

51.

What is the formula for Tangent?

a)

Adjacent/Opposite

b)

Adjacent/Hypotenuse

c)

Opposite/Adjacent

d)

Opposite/Hypotenuse

52.

What trig function is the ratio of adjacent/hypotenuse?

a)

Sine

b)

Cosine

c)

Tangent

d)

None of these

53.

What trig function is the ratio of opposite/hypotenuse?

a)

Sine

b)

Cosine

c)

Tangent

d)

None of these

54.

What trig function is the ratio of opposite/adjacent?

a)

Sine

b)

Cosine

c)

Tangent

d)

None of these

55.

What trig function is the ratio of adjacent/opposite?

a)

Sine

b)

Cosine

c)

Tangent

d)

None of these

56.
If angle B is the focus angle, what would side BC be labeled as?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
57.
The sine of an angle is equal to which of the following ratios?
a)
Opposite leg/Adjacent leg
b)
Adjacent leg/Hypotenuse
c)
Opposite leg/Hypotenuse
d)
Hypotenuse/Opposite leg
58.
The cosine of an angle is equal to which of the following ratios?
a)
Opposite leg/Adjacent leg
b)
Adjacent leg/Hypotenuse
c)
Opposite leg/Hypotenuse
d)
Hypotenuse/Opposite leg
59.
What is the cos S?
a)
13/5
b)
5/13
c)
13/12
d)
12/13
60.

What side is opposite  \angle J?  

a)

9

b)

40

c)

41

d)

none

61.

What side is adjacent to  \angle J?  

a)

9

b)

40

c)

41

d)

none

62.

What side is adjacent to  \angle J?  

a)

9

b)

40

c)

41

d)

none

63.

What side is the hypotenuse of the triangle? 

a)

9

b)

40

c)

41

d)

none

64.

In the figure shown, what is sin x, cos x, and tan x?

a)

sin(x)=4050,cos(x)=2050,tanx=3040\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{20}{50},\tan x=\frac{30}{40}

b)

sin(x)=3050,cos(x)=4050,tanx=3040\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{40}{50},\tan x=\frac{30}{40}

c)

sin(x)=4050,cos(x)=3050,tanx=3050\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{30}{50},\tan x=\frac{30}{50}

d)

sin(x)=3050,cos(x)=5040,tanx=4030\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{50}{40},\tan x=\frac{40}{30}

65.

In the figure shown, what is sin x, cos x, and tan x?

a)

sin(x)=4050,cos(x)=2050,tanx=3040\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{20}{50},\tan x=\frac{30}{40}

b)

sin(x)=3050,cos(x)=4050,tanx=3040\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{40}{50},\tan x=\frac{30}{40}

c)

sin(x)=4050,cos(x)=3050,tanx=3050\sin\left(x\right)=\frac{40}{50},\cos\left(x\right)=\frac{30}{50},\tan x=\frac{30}{50}

d)

sin(x)=3050,cos(x)=5040,tanx=4030\sin\left(x\right)=\frac{30}{50},\cos\left(x\right)=\frac{50}{40},\tan x=\frac{40}{30}