Free Printable QUIZ 2 - Trigonometry G10

1.

Find the degree measure of the angle if it rotates 7/8 clockwise.

a)

(7/8)°

b)

-(7/8)°

c)

315°

d)

-315°

2.

Which of the following angle in standard position has a reference angle of 35°?

a)

35°

b)

75°

c)

435°

d)

3500°

3.

$3.\ Find\ the\ equivalent\ point\ of\ P\left(\frac{23\pi}{4}\right).$

a)

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

b)

$P\left(\frac{7\pi}{4}\right)$

c)

$P\left(\frac{\pi}{4}\right)$

d)

$P\left(\frac{11\pi}{4}\right)$

4.

$4.\ Which\ of\ the\ following\ is\ the\ value\ of\ k\ if\ P\left(-\frac{13\pi}{4}\right)\ lies\ in\ Quadrant\ III.$

a)

-1

b)

-2

c)

-3

d)

-4

5.

5. Which of the following is the reference angle of 1111°?

a)

11

b)

21

c)

31

d)

41

6.

$6.\ In\ what\ quadrant\ does\ the\ P\left(\frac{17\pi}{3}\right)\ lies?$

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

Which of the following is not a Relationship of Degrees and Radian.

a)

$2\pi rad\leftrightarrow360\degree\leftrightarrow1\ revolution$

b)

$P\left(\theta\right)=P\left(2k\pi+\theta\right)$

c)

$180°=π$

d)

$P(360°)=P(2π)$

8.

8.Express 25'30" in radians.

a)

0.74

b)

0.074

c)

0.0074

d)

0.00074

9.

$9.\ Express\ 35°24′\ in\deg ree\ decimal\ form.$

a)

35.4\degree

b)

$35.04\degree$ $\cdot$

c)

$34.5\degree$

d)

$35.4$

10.

$10.\ Find\ the\ equivalent\ point\ P\ of\ P\left(\frac{49\pi}{8}\right).$

a)

$\frac{\pi}{8}$

b)

$\frac{9\pi}{8}$

c)

$\frac{17\pi}{8}$

d)

$\pi$

11.

11. Which of the following is the measure of the angle in standard position if the reference angle is 78° and it lies in Quadrant IV.

a)

179°

b)

282°

c)

462°

d)

822°

12.

$What\ is\ the\ positive\ value\ of\ K\ in\ the\ P(-\frac{32\pi}{7})$

a)

4

b)

5

c)

6

d)

None of the above

13.

$Which\ of\ the\ following\ is\ equivalent\ to\ \frac{π}{180°}.$

a)

0.01745 rad

b)

57.2958 degrees

c)

$\frac{180\degree}{\pi}$

d)

$\frac{2\pi}{180\degree}$

14.

Reduce 9.2 radians in decimal degree.

a)

527.12136°

b)

527°7′13"

c)

527.12136′

d)

527°7′13"rad

15.

What is the reference angle of 175°

a)

5°

b)

85°

c)

-5°

d)

-85°

16.

Which of the following is the coterminal angle of 730° where

0\degree\le\theta\le360\degree

a)

10°

b)

20°

c)

30°

d)

40°

17.

$Where\ does\ P\left(-\frac{17\pi}{6}\right)\ lie?$

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

18.

$Express\ 20\degree35'11"\ in\ radians.Express20°35′11"inradians.$

a)

0.5833 radians

b)

20.5864 radians

c)

0.003 radians

d)

0.3592 radians

19.

Express 22°36′30" in radians.

a)

0.395radians

b)

0.1395 radians

c)

0. 359 radians

d)

0. 95 radians

20.

What is the reference angle for -30°?

a)

30°

b)

60°

c)

-30°

d)

-60°

21.

$What\ is\ the\ value\ of\ K\ if\ the\ P\left(-\frac{19\pi}{4}\right).$

a)

1

b)

-3

c)

6

d)

-9

22.

$What\ is\ the\ equivalent\ point\ of\ P\left(\frac{47\pi}{8}\right).\$

a)

$P\left(\frac{7\pi}{8}\right)$

b)

$P\left(\frac{15\pi}{8}\right)$

c)

$P\left(\frac{\pi}{8}\right)$

d)

$P\left(\frac{23\pi}{8}\right)$

23.

What is the reference angle for -310⁰?

a)

20⁰

b)

35⁰

c)

50⁰

d)

65⁰

24.

Which of the following is equivalent to 89°11'15" ?

a)

89.5 degrees

b)

89.4 degrees

c)

89.2 degrees

d)

89.1 degrees

25.

Find an angle coterminal with an angle which measures 11π ∕ 3.

a)

π / 3

b)

4 π / 3

c)

8 π / 3

d)

17 π / 3

26.

Convert to DMS

-345.12 °

a)

-345°12' 0''

b)

-345° 7' 12''

c)

-345° 54' 8''

d)

-345°12' 7''

27.

In what quadrant does the reference angle of 200° lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

28.

Convert to Decimal Degrees:

85°18' 30''

a)

85.183°

b)

85.308°

c)

85.2°

d)

85.4°

29.

$Find\ the\ equivalent\ point\ of\ P\ \left(\frac{37\pi}{6}\right)$

a)

$P\left(\frac{7\pi}{6}\right)$

b)

$P\left(\frac{\pi}{6}\right)$

c)

$P\left(\frac{13\pi}{6}\right)$

d)

$P\left(\frac{17\pi}{6}\right)$

30.

Which of the following is the coterminal angle of 2020 degrees?

a)

220° and -130°

b)

570° and -140°

c)

940° and -400°

d)

1300° and -860°

QUIZ 2 - Trigonometry G10

Total questions: 30

Worksheet time: 23mins

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