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Trig and the Unit Circle

Total questions: 18

Worksheet time: 9mins

Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
3.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
4.
tan (-π)
a)
undefined
b)
0
c)
1
d)
-1
5.
What is the value of cosine at 0
a)
0
b)
1/2
c)
1
d)
√3 / 2
6.
What is the radius of the unit circle?
a)
0
b)
1
c)
1/2
d)
√2/2
7.
Who's logo is this?
a)
McDonalds
b)
Burger King
c)
Checkers
d)
Wendys
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.
What is the exact coordinates of  3π/4 on the unit circle?
a)
(−√2∕2, √2∕2)
b)
(−√2∕2, −√2∕2)
c)
(−√3∕2, −√2∕2)
d)
(√2∕2, −√2∕2)
11.

sin 0

a)

0

b)

1

c)

-1

d)

und

12.

sec π

a)

1

b)

-1

c)

0

d)

und

13.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
14.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
15.
Tangent is...
a)
a. Opposite/hypotenuse
b)
b. sine/cosine
c)
c. neither a or b
d)
d. both a and b
16.

Sine is even

a)

True

b)

False

17.

The period of the tangent function is

a)

 π2\frac{\pi}{2}  

b)

 2π2\pi  

c)

 π\pi  

d)

3

18.

The period of the secant function is

a)

π4\frac{\pi}{4}

b)

π\pi

c)

π2\frac{\pi}{2}

d)

2π2\pi