Free Printable Review for Quiz #1

1.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

2.

$\tan\left(\theta\right)=?$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{24}{8\sqrt{13}}$

d)

$\frac{16}{8\sqrt{13}}$

3.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

4.

Find the measure of the indicated angle.

a)

$6^{\circ}$

b)

$20^{\circ}$

c)

$43^{\circ}$

d)

$47^{\circ}$

5.

What quadrant does the terminal side of the angle 400° fall?

a)

I

b)

II

c)

III

d)

IV

6.

What quadrant does the terminal side of the angle 290° fall?

a)

I

b)

II

c)

III

d)

IV

7.

What is the reference angle of 100°?

a)

10°

b)

80°

c)

460°

d)

-260°

8.

What is the reference angle of 170°?

a)

10°

b)

80°

c)

530°

d)

-170°

9.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

10.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

11.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

12.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

13.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

14.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

15.

The red ray could be the terminal side of which angle?

a)

120°

b)

150°

c)

180°

d)

210°

e)

None of these

16.

The red ray could be the terminal side of which angle?

a)

30°

b)

60°

c)

45°

d)

90°

e)

None of these

17.

Which of the following angles are co-terminal to 330^o?

a)

-330^o, 330^o

b)

510^o, -210^o

c)

690^o, -30^o

d)

420^o, -330^o

18.

Which of the following angles are co-terminal to -75^o?

a)

-365^o, 75^o

b)

285^o, -435^o

c)

105^o, -255^o

d)

425^o, -335^o

19.

Point (-1, -3) is on the terminal side of an angle in standard position. What is the value of r?

a)

4

b)

10

c)

√10

d)

√8

20.

Point (2, -5) is on the terminal side of angle B in standard position. What is the value of cos B?

a)

-5√29/29

b)

2√29/29

c)

2/-5

d)

5/-2

21.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\tan\theta,\left(8,-\sqrt{17}\right)

a)

$-\frac{9}{\sqrt{17}}$

b)

$-\frac{\sqrt{17}}{8}$

c)

$-\frac{8}{\sqrt{17}}$

d)

$\frac{9}{8}$

22.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cos\theta,\left(4,-\sqrt{20}\right)

a)

$-\frac{\sqrt{20}}{6}$

b)

$\frac{3}{2}$

c)

$-\frac{\sqrt{45}}{5}$

d)

$\frac{2}{3}$

23.

Use the reference angle to find the exact value of the expression. Do not use calculator.

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

a)

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

b)

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

c)

$\sqrt{2}$

d)

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

24.

$\sin\ \frac{5\pi}{3}$ = _______

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

25.

\cos315\degree

= ______

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$

d)

$-\frac{1}{\sqrt{2}}$

Review for Quiz #1 - Algebra 3

Total questions: 25

Worksheet time: 20mins

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