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IA1 Review: Unit Circle

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

sin 150 °\degree  

a)
-1/2
b)
-√3/2
c)
1/2
d)
√3/2
2.

cos 90 °\degree  

a)
0
b)
1
c)
-1
d)
undefined
3.

tan 270 °\degree  

a)
0
b)
1
c)
-1
d)
undefined
4.

cot 225 °\degree  

a)
√2/2
b)
-√2/2
c)
1
d)
-1
5.

tan 180 °\degree  

a)
0
b)
1
c)
-1
d)
undefined
6.
a)
½
b)
√2/2
c)
√3/2
d)
1
7.
*
a)
csc x
b)
sec x
c)
cot x
d)
tan x
8.
sinθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
9.
cosθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
10.

 sin(2π)\sin\left(2\pi\right) 

a)

0

b)

1

c)

-1

d)

1/2

11.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

12.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

13.

Which angle has the ordered pair ( 12, 32\frac{1}{2},\ -\frac{\sqrt[]{3}}{2} )?

a)

 4π3\frac{4\pi}{3} 

b)

 7π6\frac{7\pi}{6} 

c)

 5π3\frac{5\pi}{3} 

d)

 11π6\frac{11\pi}{6} 

14.

The y-coordinate of an angle formed by an arc of the unit circle is equivalent to which value of θ\theta  ?

a)

tan θ\theta  

b)

cos θ\theta  

c)

sec θ\theta  

d)

sin θ\theta  

15.

Which ratio is the reciprocal of cos θ\theta  ?

a)

sin θ\theta  

b)

sec θ\theta  

c)

csc θ\theta  

d)

cot θ\theta