Free Printable APPC Unit Circle Timed Practice = 20 Sec each

1.

The sine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

2.

The cosine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

3.

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

a)

1

b)

1/2

c)

√3/2

d)

√2/2

4.

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

a)

√3/2

b)

-√3/2

c)

√2/2

d)

-√2/2

5.

What is $\tan\left(\frac{5\pi}{6}\right)$ ?

a)

√3

b)

-√3

c)

√3/3

d)

-√3/3

6.

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

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

7.

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

a)

-√3/2

b)

-1/2

c)

-√2/2

d)

√2/2

8.

$\tan\left(\frac{5\pi}{4}\right)$

a)

√2/2

b)

-√2/2

c)

-1

d)

1

9.

What terminal point corresponds to 3π/2?

a)

(1,0)

b)

(0,1)

c)

(-1,0)

d)

(0,-1)

10.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

11.

Which quadrant is 2π/3 in?

a)

I

b)

II

c)

III

d)

IV

12.

Evaluate the function: arcsin(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

13.

Evaluate: cos^-1(√3/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

14.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

15.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

16.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

17.

tan π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

1

18.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

19.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

20.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

21.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

22.

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{2}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{6}$

23.

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{2}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{6}$

24.

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{2}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{6}$

25.

a)

$\frac{4\pi}{3}$

b)

$\frac{5\pi}{6}$

c)

$\frac{7\pi}{6}$

d)

$\frac{3\pi}{2}$

26.

a)

$\frac{4\pi}{3}$

b)

$\frac{5\pi}{6}$

c)

$\frac{7\pi}{6}$

d)

$\frac{5\pi}{4}$

27.

a)

$\frac{4\pi}{3}$

b)

$\frac{5\pi}{3}$

c)

$\frac{11\pi}{6}$

d)

$\frac{7\pi}{4}$

28.

a)

$\frac{3\pi}{2}$

b)

$\frac{5\pi}{3}$

c)

$\frac{11\pi}{6}$

d)

$\frac{7\pi}{4}$

29.

$\sin\ -\frac{\pi}{2}\ =\$

a)

0

b)

1

c)

-1

d)

$\pi$

30.

$\tan\ \frac{13\pi}{6}$

a)

√3/3

b)

√3

c)

1

d)

undefined

31.

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

a)

1

b)

1/2

c)

√3/2

d)

√2/2

32.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

33.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

34.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

35.

tan(π/3)

a)

-√3 /2

b)

√3

c)

1

d)

√3 /3

36.

sin(4π/3)

a)

√3 /2

b)

1/2

c)

-√2 /2

d)

-√3 /2

37.

sin(2π/3)

a)

√3 /2

b)

1/2

c)

-1/2

d)

-√3 /2

38.

tan(π/2)

a)

√3 /2

b)

0

c)

1

d)

Und

39.

sin(5π/3)

a)

√3 /2

b)

1/2

c)

-1/2

d)

-√3 /2

40.

tan(3π/2)

a)

-1

b)

Und

c)

0

d)

1

41.

cos(π/4)

a)

-√2 /2

b)

√2 /2

c)

1/2

d)

√3 /2

42.

cos(π/3)

a)

-√2 /2

b)

√2 /2

c)

1/2

d)

√3 /2

43.

sin(π/2)

a)

1

b)

0

c)

1/2

d)

√3 /2

44.

cos(3π/2)

a)

-1

b)

Und

c)

√3 /2

d)

0

45.

sin(π/3)

a)

√3 /2

b)

1/2

c)

-√2 /2

d)

-√3 /2

46.

tan(π)

a)

-1

b)

Und

c)

1

d)

0

47.

tan(2π/3)

a)

1

b)

-√3 /2

c)

√3 /2

d)

-√3

48.

Evaluate: $Arc\sin\left(\frac{\sqrt[]{2}}{2}\right)$

a)

$\frac{\pi}{2}$

b)

$-\frac{\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{\pi}{4}$

49.

Evaluate: $Sin^{-1}\left(0\right)$

a)

$1$

b)

$0$

c)

$-1$

d)

$\pi$

50.

Evaluate: $Cos^{-1}\left(\frac{\sqrt[]{3}}{2}\right)$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{5\pi}{6}$

d)

$-\frac{\pi}{6}$

51.

Evaluate: $Sin^{-1}\left(-\frac{\sqrt[]{3}}{2}\right)$

a)

$\frac{\pi}{3}$

b)

$-\frac{\pi}{6}$

c)

$\frac{2\pi}{3}$

d)

$-\frac{\pi}{3}$

52.

Evaluate: $Arc\sin\left(1\right)$

a)

$\frac{3\pi}{2}$

b)

$-\frac{\pi}{2}$

c)

$\frac{\pi}{2}$

d)

$\pi$

53.

Evaluate: $Tan^{-1}\left(\frac{\sqrt[]{3}}{3}\right)$

a)

$\frac{5\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{6}$

54.

Evaluate: $Cos^{-1}\left(-\frac{1}{2}\right)$

a)

$\frac{\pi}{3}$

b)

$\frac{2\pi}{3}$

c)

$-\frac{\pi}{3}$

d)

$-\frac{2\pi}{3}$

55.

Evaluate: $Tan^{-1}\left(-1\right)$

a)

$-\frac{\pi}{6}$

b)

$\frac{\pi}{4}$

c)

$-\frac{\pi}{4}$

d)

$\frac{3\pi}{4}$

56.

$\tan\left(\sin^{-1}\left(\frac{1}{2}\right)\right)$

a)

$\sqrt{3}$

b)

$\frac{\sqrt{3}}{3}$

c)

$\frac{1}{2}$

d)

$1$

57.

$\sin\left(\cos^{-1}\left(0\right)\right)$

a)

$0$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$1$

58.

arcsin(√3/2)

a)

π/3

b)

-π/3

c)

2π/3

d)

π/3 and 2π/3

59.

$\cos\left(\cos^{-1}\left(-\frac{\sqrt{2}}{2}\right)\right)=$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

$\frac{1}{2}$

d)

$\frac{\sqrt{3}}{2}$

60.

$\sin\left(\cos^{-1}\left(-\frac{1}{2}\right)\right)=$

a)

$\frac{\sqrt{2}}{2}$

b)

$-\frac{\sqrt{2}}{2}$

c)

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

d)

$\frac{\sqrt{3}}{2}$

61.

$\cos^{-1}\left(\sin\left(\frac{5\pi}{3}\right)\right)=$

a)

$\frac{5\pi}{6}$

b)

$\frac{\pi}{6}$

c)

$\frac{7\pi}{6}$

d)

$\frac{\pi}{3}$

APPC Unit Circle Timed Practice = 20 Sec each

Total questions: 61

Worksheet time: 20mins

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