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Worksheets

Exact Values - Trig

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

cos 30 =

a)

0

b)

12\frac{1}{2}

c)

22\frac{\sqrt{2}}{2}

d)

32\frac{\sqrt{3}}{2}

e)

1

2.

sin(135°)\sin\left(-135\degree\right)  

a)

22\frac{\sqrt{2}}{2}  

b)

22-\frac{\sqrt{2}}{2}  

c)

32\frac{\sqrt{3}}{2}  

d)

32-\frac{\sqrt{3}}{2}  

3.

cos (11π3)\cos\ \left(-\frac{11\pi}{3}\right)  

a)

32\frac{\sqrt{3}}{2}  

b)

12\frac{1}{2}  

c)

12-\frac{1}{2}  

d)

32-\frac{\sqrt{3}}{2}  

4.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
5.
sin π =
a)
0
b)
1
c)
-1 
d)
undefined
6.
cos π =
a)
0
b)
1
c)
-1 
d)
undefined
7.

tan 270=?

a)

0

b)

1

c)

-1

d)

undefined

8.

cos 150=?

a)

32-\frac{\sqrt{3}}{2}

b)

32\frac{\sqrt{3}}{2}

c)

13\frac{1}{3}

d)

12\frac{1}{2}

9.
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
10.

cos -240°

a)

-2

b)

12-\frac{1}{2}

c)

3-\sqrt{3}

d)

33-\frac{\sqrt{3}}{3}

11.

sin 270°

a)

undefined

b)

0

c)

-1

d)

3-\sqrt{3}

12.

sin -60°

a)

32-\frac{\sqrt{3}}{2}

b)

0

c)

12\frac{1}{2}

d)

1

13.

tan -240°

a)

12-\frac{1}{2}

b)

3-\sqrt{3}

c)

32\frac{\sqrt{3}}{2}

d)

233-\frac{2\sqrt{3}}{3}

14.

tan -60°

a)

1

b)

-1

c)

-2

d)

3-\sqrt{3}

15.

tan( 19π6\frac{19\pi}{6}  )

a)

233\frac{2\sqrt{3}}{3}

b)

33-\frac{\sqrt{3}}{3}

c)

33\frac{\sqrt{3}}{3}

d)

32-\frac{\sqrt{3}}{2}

16.

cos -225°

a)

22-\frac{\sqrt{2}}{2}

b)

12-\frac{1}{2}

c)

32-\frac{\sqrt{3}}{2}

d)

22\frac{\sqrt{2}}{2}

17.

sin -210°

a)

12\frac{1}{2}

b)

22-\frac{\sqrt{2}}{2}

c)

33-\frac{\sqrt{3}}{3}

d)

32-\frac{\sqrt{3}}{2}

18.

cos -210°

a)

12\frac{1}{2}

b)

12-\frac{1}{2}

c)

32\frac{\sqrt{3}}{2}

d)

32-\frac{\sqrt{3}}{2}

19.

sin 585°

a)

1

b)

22-\frac{\sqrt{2}}{2}

c)

12\frac{1}{2}

d)

22\frac{\sqrt{2}}{2}

20.

cos -450°

a)

0

b)

-1

c)

12-\frac{1}{2}

d)

undefined