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Worksheets

Trigonometry Warm-up

Total questions: 23

Worksheet time: 2hrs 55mins

Name
Class
Date
1.




a)

86

b)

33

c)

9

d)

25

2.
a)

19.3

b)

56

c)

46

d)

11.5

3.

a)

 8089\frac{80}{89}  

b)

 8089\frac{80}{89}  

c)

 3980\frac{39}{80}  

d)

 8980\frac{89}{80}  

4.

The unit circle is centred at the _________ and has a radius of _________.

a)

origin, one

b)

radius, 2 pi

c)

(10,10), two

d)

(0,0), pi

5.
a)

(0,0)

b)

(1,1)

c)

(sinθ, cosθ)\left(\sin\theta,\ \cos\theta\right)

d)

(cosθ, sinθ)\left(\cos\theta,\ \sin\theta\right)

6.

a)

1

b)

0

c)

-1

d)

undefined

7.

a)

3365\frac{33}{65}

b)

3365-\frac{33}{65}

c)

5665\frac{56}{65}

d)

5665-\frac{56}{65}

8.

a)

815-\frac{8}{15}

b)

158-\frac{15}{8}

c)

815\frac{8}{15}

d)

815-\frac{8}{15}

9.

1 radian is the measure of an angle subtended at the centre of a circle by an arc length equal to the radius of the circle. This means that approximately how many radians are in one rotation of a circle?

a)

3.14

b)

360

c)

6.28

d)

720

10.
a)

22

b)

1010

c)

π\pi

d)

2π2\pi

11.

1 radian is equal to approximately ________ degrees?

a)

180

b)

45

c)

360

d)

57

12.
a)

2.3π2.3\pi

b)

π\pi

c)

0.6

d)

1948

13.

1.78 rad is equal to approximately ________ degrees?

a)

102

b)

0.03π0.03\pi

c)

0.03

d)

0.56π0.56\pi

14.
a)

3.9

b)

5π4\frac{5\pi}{4}

c)

12,892

d)

7π3\frac{7\pi}{3}

15.

a)

309

b)

35.7

c)

1.83

d)

105

16.

a)

3 cm

b)

15π 15\pi\ cm

c)

9.4 cm

d)

32 cm

17.

a)

0.07 rad

b)

0.23 rad

c)

3.14 rad

d)

4.2 rad

18.

a)

117°117\degree

b)

297°297\degree

c)

63°-63\degree

d)

63°63\degree

19.

a)

77°77\degree

b)

17π7\frac{17\pi}{7}

c)

797°797\degree

d)

3π7\frac{3\pi}{7}

20.

a)

45°45\degree

b)

135°135\degree

c)

225°225\degree

d)

45°-45\degree

21.

a)

5π9\frac{5\pi}{9}

b)

14π9\frac{14\pi}{9}

c)

4π9\frac{4\pi}{9}

d)

5π9-\frac{5\pi}{9}

22.

a)

163°163\degree

b)

253°253\degree

c)

17°17\degree

d)

197°197\degree

23.

a)

13π10\frac{13\pi}{10}

b)

17π10\frac{17\pi}{10}

c)

3π10\frac{3\pi}{10}

d)

17π20\frac{17\pi}{20}