Free Printable Advanced Algebra: Unit Circle Test Review

1.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

2.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

3.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

4.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

5.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

hypotenuse

6.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

7.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

8.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

9.

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

a)

sine

b)

cosine

c)

tangent

d)

trigonometry

10.

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

a)

Sine

b)

Cosine

c)

Tangent

11.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

12.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

13.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

14.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

15.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

16.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

17.

All of the following could be used to find angle B, EXCEPT which one?

a)

b)

c)

d)

18.

Given the point (-4, -3) on the terminal side of the angle $\theta.$

What is sin $\theta?$

a)

3/5

b)

-5/4

c)

-3/5

d)

-4/5

19.

Given the point (6, 3) on the terminal side of the angle $\theta.$

What is sec $\theta?$

a)

$\sqrt{5}$

b)

$\frac{\sqrt{5}}{2}$

c)

1/2

d)

2

20.

Given the point (-7, $\sqrt{15}$ ) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

-8/7

b)

$-\frac{\sqrt{15}}{7}$

c)

-7/8

d)

$-\frac{7\sqrt{15}}{15}$

21.

Given the point (-3, -3) on the terminal side of the angle $\theta.$

What is sin $\theta?$

a)

1

b)

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

c)

-2/3

d)

$-\sqrt{2}$

22.

Given the point (3, -4) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

-4/3

b)

5/3

c)

3/5

d)

-4/5

23.

Given the point (3, $\sqrt{7}$ ) on the terminal side of the angle $\theta.$

What is sec $\theta?$

a)

3/4

b)

$\frac{\sqrt{7}}{3}$

c)

$\frac{3\sqrt{7}}{7}$

d)

4/3

24.

Given the point ( $\sqrt{5},$ 2) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

-2/3

b)

$\frac{3\sqrt{5}}{5}$

c)

$\frac{\sqrt{5}}{3}$

d)

$-\frac{\sqrt{5}}{2}$

25.

Given the point (4, -3) on the terminal side of the angle $\theta.$

What is tan $\theta?$

a)

-5/3

b)

4/5

c)

-3/5

d)

-3/4

26.

Given the point (4, -3) on the terminal side of the angle $\theta.$

What is cos $\theta?$

a)

4/5

b)

5/4

c)

$-\frac{\sqrt{5}}{2}$

d)

$\frac{\sqrt{5}}{5}$

27.

Given that cos $\theta$ = 3/4 and sin $\theta$ < 0, find tan $\theta.$

a)

$-\frac{\sqrt{7}}{4}$

b)

$-\frac{\sqrt{7}}{3}$

c)

$-\frac{4\sqrt{7}}{7}$

d)

$\frac{4}{3}$

28.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

29.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

30.

cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

31.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

32.

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)

33.

a)

-√3/2

b)

-½

c)

-√2/2

d)

-1

34.

a)

1

b)

-1

c)

0

d)

√2/2

35.

a)

√3/3

b)

√3

c)

1

d)

undefined

36.

a)

-1

b)

0

c)

undefined

d)

√3

37.

a)

½

b)

√2/2

c)

√3/2

d)

1

38.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

39.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

40.

cos(60°)

a)

0

b)

1/2

c)

√3/2

d)

1

41.

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

42.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

43.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

44.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

45.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

46.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

47.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

48.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

49.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

50.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

Advanced Algebra: Unit Circle Test Review

Total questions: 50

Worksheet time: 4hrs 41mins

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