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Worksheets

Sinusoidal Functions

Total questions: 12

Worksheet time: 22mins

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.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
5.
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)
6.

2 sin (π/4)

a)

2\sqrt[]{2}  

b)

2\sqrt[]{2}  /2

c)
√3/2
d)
0
7.

2cos⁡(5π6+π)2\cos\left(\frac{5\pi}{6}+\pi\right)  

a)
-1/2
b)
1/2
c)
√3/2
d)

√3

8.

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

a)
-√3/2
b)
√3/2
c)
1/2
d)

-1

9.

5sin⁡(2π3+4π3)5\sin\left(\frac{2\pi}{3}+\frac{4\pi}{3}\right)  

a)

undefined

b)

0

c)
√3/2
d)
-√3/2
10.

What is the exact coordinates of 7π/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.

5tan⁡(π3)5\tan\left(\frac{\pi}{3}\right)  

a)

undefined

b)

533\frac{5\sqrt[]{3}}{3}  

c)

33\frac{\sqrt[]{3}}{3}  

d)

−533\frac{-5\sqrt[]{3}}{3}

12.

5tan⁡(π3+7π6)5\tan\left(\frac{\pi}{3}+\frac{7\pi}{6}\right)  

a)

undefined

b)

533\frac{5\sqrt[]{3}}{3}  

c)

0

d)

−533\frac{-5\sqrt[]{3}}{3}