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Worksheets

Grade 9 Review

Total questions: 22

Worksheet time: 17mins

Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
3.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
4.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
5.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
6.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
7.
At what point are sine and cosine the same value?
a)
0
b)
90
c)
45
d)
60
8.
What is the value of sine at 330
a)
1/2
b)
-1/2
c)
√3 / 2
d)
-√3 / 2
9.

tanΘ = undef

a)

0

b)

90

c)

180

d)

360

10.

csc Θ = -√2

a)

7π/4

b)

3π/4

c)

11π/6

d)

7π/6

11.

secΘ = -1

a)

0

b)

π/2

c)

π

d)

3π/2

12.

cotΘ = √3

a)

60

b)

150

c)

210

d)

240

13.

sin positive AND cot neg

a)

Quad I

b)

Quad II

c)

Quad III

d)

Quad IV

14.

Check ALL that are negative in Quad IV

a)

tan

b)

csc

c)

sec

d)

cot

15.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
16.
Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.
a)
10 inches
b)
2 feet
c)
4.71 inches
d)
3.53 inches
17.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
18.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
19.

Find an expression for the above segment area

a)

 13π r\frac{1}{3}π\ r  

b)

 120×r120\times r  

c)

 13π r2\frac{1}{3}π\ r^2  

d)

 23πr2\frac{2}{3}πr^2  

20.

Find an expression for the arclength marked in bold.

a)

116π r\frac{11}{6}π\ r

b)

113π r\frac{11}{3}π\ r

c)

116πr2\frac{11}{6}πr^2

d)

113 π r2\frac{11}{3\ }π\ r^2

21.

Find an expression of the arclenth of this segment

a)

2π3\frac{2π}{3}

b)

54πr\frac{5}{4}πr

c)

23πr\frac{2}{3}πr

d)

34πr-\frac{3}{4}πr

22.

Find the y-coordinate of the point indicated for r=1

a)

 22\frac{\sqrt{2}}{2}  

b)

 π3r \frac{\pi}{3}r\   

c)

 32×r\frac{\sqrt{3}}{2}\times r  

d)

 12r\frac{1}{2}r