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Worksheets

Trigonometry

Total questions: 20

Worksheet time: 47mins

Name
Class
Date
1.

Find cos(θ) given that the terminal side of θ contains the point  (−9, 6)\left(-9,\ 6\right) .

a)

 −31313-\frac{3\sqrt{13}}{13} 

b)

 −133-\frac{\sqrt{13}}{3} 

c)

 32\frac{3}{2} 

d)

 133\frac{\sqrt{13}}{3} 

2.

Which ratio represents sin(A)?

a)

32/40

b)

32/24

c)

24/40

d)

24/32

3.

sin(A)

a)

opposite over hypotenuse

b)

3 over 5

4.

Find the value of

 tan⁡ A\tan\ A  

a)

 724\frac{7}{24}  

b)

 257\frac{25}{7}  

c)

 2524\frac{25}{24}  

d)

 725\frac{7}{25}  

5.

Which trigonometric equation could you use to find the length of  AB‾\overline{AB}  ?

a)

sin⁡(35)=x12\sin\left(35\right)=\frac{x}{12}

b)

sin⁡(35)=12x\sin\left(35\right)=\frac{12}{x}

c)

tan⁡(35)=x12\tan\left(35\right)=\frac{x}{12}

d)

tan⁡(35)=12x\tan\left(35\right)=\frac{12}{x}

6.
Find secΘ.
a)
5/13
b)
13/5
c)
12/13
d)
13/12
7.

FInd Tan X

a)

3240=45\frac{32}{40}=\frac{4}{5}

b)

4024=53\frac{40}{24}=\frac{5}{3}

c)

3224=43\frac{32}{24}=\frac{4}{3}

d)

2432=34\frac{24}{32}=\frac{3}{4}

8.

What does cos mean in right angles?

a)

Cos

b)

Close

c)

chief of staff

d)

Core of Steel

9.

sin B =

a)

4/5

b)

3/5

c)

4/3

d)

5/4

e)

5/3

10.

Give the ratio for COS A

a)

AdjacentHypotenuse\frac{Adjacent}{Hypotenuse}  

b)

OppositeHypostenuse\frac{Opposite}{Hypostenuse}  

c)

AdjacentOpposite\frac{Adjacent}{Opposite}  

d)

OppositeHypotenuse\frac{Opposite}{Hypotenuse}  

11.

Use the triangle to find the

 csc⁡X=\csc X=  
Be sure to reduce the answer, if needed.

a)

 35\frac{3}{5}  

b)

 45\frac{4}{5}  

c)

 34\frac{3}{4}  

d)

 54\frac{5}{4}  

12.

Use the triangle to find the

 sec⁡α=\sec\alpha=  
Be sure to reduce the answer, if needed.

a)

 158\frac{15}{8}  

b)

 1715\frac{17}{15}  

c)

 817\frac{8}{17}  

d)

 1517\frac{15}{17}  

13.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
14.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
15.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
16.
The cosine of an acute angle in a triangle is the ratio of which two of its sides?
a)
opposite/adjacent
b)
adjacent/hypotenuse
c)
opposite/hypotenuse
d)
hypotenuse/adjacent
17.

Which is the correct ratio for the cosine ratio?

a)

adjacent hypotenuse\frac{adjacent\ }{hypotenuse}

b)

opposite hypotenuse\frac{opposite\ }{hypotenuse}

c)

adjacent opposite \frac{adjacent\ }{opposite\ }

d)

opposite adjacent \frac{opposite\ }{adjacent\ }

18.

Find Sin A

a)

1634=817\frac{16}{34}=\frac{8}{17}

b)

1630=815\frac{16}{30}=\frac{8}{15}

c)

3034=1517\frac{30}{34}=\frac{15}{17}

d)

3016=158\frac{30}{16}=\frac{15}{8}

19.
What is the value of sin 0º?
a)
0
b)
1
c)
undefined
20.
From ∠D, what side is OG?
a)
Adjacent
b)
Hypotenuse
c)
Opposite