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Worksheets

Unit Circle

Total questions: 23

Worksheet time: 23mins

Name
Class
Date
1.
cos (π/4)
a)

√3/2

b)

√2/2

c)

1/2

d)

1

2.
sin (π/2)
a)

√3/2

b)

√2/2

c)

1/2

d)

1

3.
cos(π)
a)

√3/2

b)

-√2/2

c)

-1

d)

1

4.
cos(5π/3)
a)

-√2/2

b)

-1/2

c)

1/2

d)

√3/2

5.
tan(3π/4)
a)

√2/2

b)

-√2/2

c)

√3/2

d)

-1

6.
cos 5π/6
a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

7.
cos 4π/3
a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

8.
sin 7π/6
a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

9.
sin 2π/3
a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

10.

sin 0

a)

0

b)

1

c)

-1

d)

und

11.

cos 0

a)

0

b)

-1

c)

1

d)

und

12.
Which of the following is closest to the measure of the angle drawn by the green curve?
a)
5/6 π
b)
5/3 π
c)
4/5 π
d)
4/3 π
13.
The sine of any angle on the unit circle is the y-coordinate.
a)
True
b)
False
14.
The cosine of any angle on the unit circle is the y-coordinate.
a)
True
b)
False
15.

 What is  sin(π6)\sin\left(\frac{\pi}{6}\right)  ?

a)

1

b)

1/2

c)

√3/2

d)

√2/2

16.

What is the  cos(3π4)\cos\left(\frac{3\pi}{4}\right)  ?

a)

√3/2

b)

-√3/2

c)

√2/2

d)

-√2/2

17.

cos(4π3)\cos\left(\frac{4\pi}{3}\right)  

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

18.

cos(5π4)\cos\left(\frac{5\pi}{4}\right)  


a)

-√3/2

b)

-1/2

c)

-√2/2

d)

√2/2

19.
a)

π4\frac{\pi}{4}

b)

π2\frac{\pi}{2}

c)

π3\frac{\pi}{3}

d)

π6\frac{\pi}{6}

20.
a)

π4\frac{\pi}{4}

b)

π2\frac{\pi}{2}

c)

π3\frac{\pi}{3}

d)

π6\frac{\pi}{6}

21.
a)

2π3\frac{2\pi}{3}

b)

π2\frac{\pi}{2}

c)

3π4\frac{3\pi}{4}

d)

5π6\frac{5\pi}{6}

22.
a)

4π3\frac{4\pi}{3}

b)

5π6\frac{5\pi}{6}

c)

7π6\frac{7\pi}{6}

d)

5π4\frac{5\pi}{4}

23.
a)

180°180\degree

b)

270°270\degree

c)

300°300\degree

d)

225°225\degree