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Worksheets

Trigonometry

Total questions: 75

Worksheet time: 19hrs 45mins

Name
Class
Date
1.

State the exact value of sin 30°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

2.

State the exact value of cos 60°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

3.

State the exact value of cos 0°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

4.

State the exact value of sin 0°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

5.

State the exact value of sin 60°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

6.

State the exact value of cos 30°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

7.

State the exact value of sin 45°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

8.

State the exact value of cos 45°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

9.

State the exact value of cos 90°

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

10.

State the exact value of sin 90° 

a)

 12\frac{1}{2}  

b)

 22\frac{\sqrt{2}}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 00  

e)

 11  

11.

State the exact value of tan 30° 

a)

 11  

b)

 3\sqrt{3}  

c)

undefined

d)

 00  

e)

 13\frac{1}{\sqrt{3}}  

12.

State the exact value of tan 60°

a)

11

b)

3\sqrt{3}

c)

undefined

d)

00

e)

13\frac{1}{\sqrt{3}}

13.

 sinx=1213\sin x=\frac{12}{13}  

a)

 x=sin1(1213)x=\sin^{-1}\left(\frac{12}{13}\right)  

b)

 x=12sin13x=12\sin13  

c)

 x=sin1213x=\frac{\sin12}{13}  

d)

 x=12sin13x=\frac{12}{\sin13}  

14.

 sinx=2527\sin x=\frac{25}{27}  

a)

 x=sin1(2527)x=\sin^{-1}\left(\frac{25}{27}\right)  

b)

 x=27sin25x=27\sin25  

c)

 x=sin2527x=\frac{\sin25}{27}  

d)

 x=27sin25x=\frac{27}{\sin25}  

15.

 cos30=x12\cos30=\frac{x}{12}  

a)

 x=cos1(3012)x=\cos^{-1}\left(\frac{30}{12}\right)  

b)

 x=12cos30x=12\cos30  

c)

 x=cos3012x=\frac{\cos30}{12}  

d)

 x=12cos30x=\frac{12}{\cos30}  

16.

 tan60=8x\tan60=\frac{8}{x}  

a)

 x=tan1(860)x=\tan^{-1}\left(\frac{8}{60}\right)  

b)

 x=8tan60x=8\tan60  

c)

 x=tan608x=\frac{\tan60}{8}  

d)

 x=8tan60x=\frac{8}{\tan60}  

17.

 cosx=1415\cos x=\frac{14}{15}  

a)

 x=cos1(1415)x=\cos^{-1}\left(\frac{14}{15}\right)  

b)

 x=15cos14x=15\cos14  

c)

 x=cos1415x=\frac{\cos14}{15}  

d)

 x=14cos15x=\frac{14}{\cos15}  

18.

 tanx=1123\tan x=\frac{11}{23}  

a)

 x=tan1(1123)x=\tan^{-1}\left(\frac{11}{23}\right)  

b)

 x=23cos11x=23\cos11  

c)

 x=cos2311x=\frac{\cos23}{11}  

d)

 x=11cos23x=\frac{11}{\cos23}  

19.

 sin30=x9\sin30=\frac{x}{9}  

a)

 x=sin1(930)x=\sin^{-1}\left(\frac{9}{30}\right)  

b)

 x=9sin30x=9\sin30  

c)

 x=sin309x=\frac{\sin30}{9}  

d)

 x=9sin30x=\frac{9}{\sin30}  

20.

 tan72=x5\tan72=\frac{x}{5}  

a)

 x=tan1(572)x=\tan^{-1}\left(\frac{5}{72}\right)  

b)

 x=5tan72x=5\tan72  

c)

 x=tan725x=\frac{\tan72}{5}  

d)

 x=5tan72x=\frac{5}{\tan72}  

21.

 sin29=3.5x\sin29=\frac{3.5}{x}  

a)

 x=sin1(3.529)x=\sin^{-1}\left(\frac{3.5}{29}\right)  

b)

 x=3.5sin29x=3.5\sin29  

c)

 x=sin293.5x=\frac{\sin29}{3.5}  

d)

 x=3.5sin29x=\frac{3.5}{\sin29}  

22.

 cos66=7x\cos66=\frac{7}{x}  

a)

 x=cos1(766)x=\cos^{-1}\left(\frac{7}{66}\right)  

b)

 x=7cos66x=7\cos66  

c)

 x=cos667x=\frac{\cos66}{7}  

d)

 x=7cos66x=\frac{7}{\cos66}  

23.

 tanx=2531\tan x=\frac{25}{31}  

a)

 x=tan1(2531)x=\tan^{-1}\left(\frac{25}{31}\right)  

b)

 x=25tan31x=25\tan31  

c)

 x=tan2531x=\frac{\tan25}{31}  

d)

 x=25tan31x=\frac{25}{\tan31}  

24.

 cosx=3435\cos x=\frac{34}{35}  

a)

 x=cos1(3435)x=\cos^{-1}\left(\frac{34}{35}\right)  

b)

 x=34cos35x=34\cos35  

c)

 x=cos3435x=\frac{\cos34}{35}  

d)

 x=34cos35x=\frac{34}{\cos35}  

25.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

26.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

27.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

28.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

29.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

30.
a)

A = adjacent

b)

A = opposite

c)

A = hypotenuse

d)

B = opposite

e)

B = hypotenuse

31.
a)

sinθ=\sin\theta=

b)

cosθ=\cos\theta=

c)

tanθ=\tan\theta=

d)

opphyp\frac{\text{opp}}{\text{hyp}}

e)

hypopp\frac{\text{hyp}}{\text{opp}}

32.
a)

sinθ=\sin\theta=

b)

cosθ=\cos\theta=

c)

tanθ=\tan\theta=

d)

adjhyp\frac{\text{adj}}{\text{hyp}}

e)

hypadj\frac{\text{hyp}}{\text{adj}}

33.
a)

sinθ=\sin\theta=

b)

cosθ=\cos\theta=

c)

tanθ=\tan\theta=

d)

oppadj\frac{\text{opp}}{\text{adj}}

e)

adjopp\frac{\text{adj}}{\text{opp}}

34.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

35.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

36.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

37.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

38.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

39.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

40.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

41.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

42.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

43.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

44.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

45.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

46.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

47.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

48.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

49.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

50.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

51.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

52.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

53.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

54.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

55.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

56.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

57.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

58.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

59.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

60.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

61.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

62.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

63.
a)

sinθ=opphyp\sin\theta=\frac{\text{opp}}{\text{hyp}}

b)

cosθ=adjhyp\cos\theta=\frac{\text{adj}}{\text{hyp}}

c)

tanθ=oppadj\tan\theta=\frac{\text{opp}}{\text{adj}}

d)

c=a2+b2c=\sqrt{a^2+b^2}

e)

a=b2c2a=\sqrt{b^2-c^2}

64.

 y=mx+cy=mx+c  


Find  cc   when  m=2m=2   and  (x,y)=(4,12)\left(x,y\right)=\left(4,12\right)  

a)

4

b)

3

c)

2

d)

5

65.

 y=mx+cy=mx+c  

Find  cc   when  m=2m=2   and  (x,y)=(3,12)\left(x,y\right)=\left(3,12\right)  

a)

6

b)

5

c)

4

d)

3

66.

 y=mx+cy=mx+c  

Find  cc   when  m=3m=3   and  (x,y)=(3,17)\left(x,y\right)=\left(3,17\right)  

a)

8

b)

9

c)

10

d)

11

67.

 y=mx+cy=mx+c  

Find  cc   when  m=3m=3   and  (x,y)=(4,17)\left(x,y\right)=\left(4,17\right)  

a)

5

b)

4

c)

3

d)

2

68.

 y=mx+cy=mx+c  

Find  cc   when  m=3m=3   and  (x,y)=(5,17)\left(x,y\right)=\left(5,17\right)  

a)

5

b)

4

c)

3

d)

2

69.

 y=mx+cy=mx+c  

Find  cc   when  m=3m=3   and  (x,y)=(3,12)\left(x,y\right)=\left(3,12\right)  

a)

5

b)

4

c)

3

d)

2

70.

 y=mx+cy=mx+c  

Find  cc   when  m=3m=3   and  (x,y)=(4,16)\left(x,y\right)=\left(4,16\right)  

a)

5

b)

4

c)

3

d)

2

71.

 y=mx+cy=mx+c  

Find  cc   when  m=6m=6   and  (x,y)=(2,15)\left(x,y\right)=\left(2,15\right)  

a)

5

b)

4

c)

3

d)

2

72.

 y=mx+cy=mx+c  

Find  cc   when  m=4m=4   and  (x,y)=(8,38)\left(x,y\right)=\left(8,38\right)  

a)

6

b)

5

c)

4

d)

7

73.

 sinx=12\sin x=\frac{1}{2}  

a)

 x=30°x=30\degree  

b)

 x=45°x=45\degree  

c)

 x=60°x=60\degree  

d)

 x=90°x=90\degree  

e)

 x=0°x=0\degree  

74.

 cosx=12\cos x=\frac{1}{2}  

a)

 x=30°x=30\degree  

b)

 x=45°x=45\degree  

c)

 x=60°x=60\degree  

d)

 x=90°x=90\degree  

e)

 x=0°x=0\degree  

75.

 tanx=3\tan x=\sqrt{3}  

a)

 x=30°x=30\degree  

b)

 x=45°x=45\degree  

c)

 x=60°x=60\degree  

d)

 x=90°x=90\degree  

e)

 x=0°x=0\degree