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Trigonometry and Circles PreAssessment

Total questions: 25

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

e)

I don't know

2.

In  ΔABC\Delta ABC  where  B\angle B  is a right angle, if  sinA=45\sin A=\frac{4}{5}  , what is the  cosA\cos A  ?

a)

 35\frac{3}{5}  

b)

 54\frac{5}{4}  

c)

 43\frac{4}{3}  

d)

 34\frac{3}{4}  

e)

I don't know

3.

In  ΔABC\Delta ABC   where  C\angle C  is a right angle.  If  sinA=1213\sin A=\frac{12}{13}  , then   tanB=\tan B=  __________.  

a)

 512\frac{5}{12}  

b)

 513\frac{5}{13}  

c)

 125\frac{12}{5}  

d)

 135\frac{13}{5}  

e)

I don't know

4.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

e)

I don't know

5.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

e)

I don't know

6.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

e)

I don't know

7.

Which expression is correct for "y"?

a)

y = tan–1(31/23)

b)

y = sin–1(31/23)

c)

y = cos–1(31/23)

d)

I don't know

8.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

e)

I don't know

9.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

e)

I don't know

10.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

e)

I don't know

11.

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

a)

13π/8 cm

b)

52π/9 cm

c)

π/9 cm

d)

9π/52

e)

I don't know

12.

Find the area of the shaded sector of the circle.

a)
b)
c)
d)
e)

I don't know

13.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

e)

I don't know

14.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

e)

I don't know

15.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

a)

47

b)

74

c)

94

d)

123

e)

I don't know

16.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or sin1\sin^{-1}

e)

I don't know

17.

If  cos60° = 12\cos60\degree\ =\ \frac{1}{2}  , then  sec60°\sec60\degree  =

a)

 12\frac{1}{2}  

b)

 22  

c)

 12-\frac{1}{2}  

d)

 2-2  

e)

I don't know

18.

If  tanθ=125\tan\theta=\frac{12}{5}  , then  cotθ=\cot\theta=  

a)

 125-\frac{12}{5}  

b)

 125\frac{12}{5}  

c)

 512\frac{5}{12}  

d)

 512-\frac{5}{12}  

e)

I don't know

19.

The reciprocal of tangent is

a)

secant or sec

b)

cosecant or csc

c)

cotangent or cot

d)

arctan or tan1\tan^{-1}

e)

I don't know

20.

The reciprocal of cosine is

a)

sine or sin

b)

secant or sec

c)

cosecant or csc

d)

arccos or cos1\cos^{-1}

e)

I don't know

21.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

e)

I don't know

22.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

e)

I don't know

23.

Find the value of y.

a)

11√2

b)

11

c)

22

d)

(11√2)/2

e)

I don't know

24.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

e)

I don't know

25.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

e)

I don't know