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TRIGONOMETRI TINGKATAN 3

Total questions: 87

Worksheet time: 3hrs 31mins

Name
Class
Date
1.
a)

5/3

b)

3/5

c)

4/3

d)

4/5

2.
a)

7/25

b)

24/7

c)

25/7

d)

25/24

3.
a)

5/13

b)

5/12

c)

8/15

d)

12/5

4.
a)

3/4

b)

5/3

c)

4/5

d)

Sqt 2/2

5.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
6.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
7.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
8.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
9.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
10.
Solve for x.
a)
30°
b)
45°
c)
60°
d)
90°
11.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
12.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
13.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

14.
What is the correct ratio?
a)
6/10
b)
6/8
c)
8/10
d)
8/6
15.
Which side is opposite angle x?
a)
1
b)
2
c)
3
16.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
17.
What is tan 45⁰?
a)
1
b)
2
c)
0.5
d)
0.75
18.
What is cos 47⁰ ?
a)
0.73
b)
0.28
c)
0.68
d)
answer not shown
19.
Find x if sin 22o = 2/x.
a)
6.78
b)
0.75
c)
2.14
d)
5.34
20.

sin 158 = sin 68.

a)

True

b)

False

c)

I don't know

21.

tan 230 =

a)

tan 40

b)

tan 50

c)

-tan 40

d)

-tan 50

22.

What is the green side labelled as from the starred angle?

a)

adjacent

b)

opposite

c)

hypotenuse

23.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

24.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
25.
What is cos 47⁰ ?
a)
0.73
b)
0.28
c)
0.68
d)
answer not shown
26.
What is tan 45⁰?
a)
1
b)
2
c)
0.5
d)
0.75
27.

Which side is opposite angle x?

a)

1

b)

2

c)

3

28.

In the diagram,  sinx=38.\sin x=\frac{3}{8}.  The value of y is 

a)

6.4

b)

8.6

c)

9

d)

12

29.

In the diagram, find the value of  sinθ\sin\theta  .

a)

58\frac{5}{8}  

b)

813\frac{8}{13}  

c)

512\frac{5}{12}  

d)

23\frac{2}{3}  

30.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
31.

Calculate the height, in m, of the tree shown in the diagram.

a)

23.45

b)

25.9

c)

31.5

d)

32.9

32.

What is the opposite side to <E?

a)

EF

b)

DF

c)

DE

33.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

34.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
35.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
36.

What is cos 30°?

a)

√3/2

b)

½

c)

√2/2

d)

1

37.
cot(45o)
a)
½
b)
1
c)
-1
d)
√2
38.

FInd tan X

a)

32/40

b)

40/24

c)

32/24

d)

24/32

39.

Based on the diagram, what is the value of Sin 45°Sin\ 45\degree  ?

a)

1

b)

13\frac{1}{\sqrt[]{3}}  

c)

2\sqrt[]{2}  

d)

12\frac{1}{\sqrt[]{2}}  

40.

Based on the diagram, what is the value of Sin 30°Sin\ 30\degree  ?

a)

12\frac{1}{2}  

b)

13\frac{1}{\sqrt[]{3}}  

c)

32\frac{\sqrt[]{3}}{2}  

d)

12\frac{1}{\sqrt[]{2}}  

41.

Find the value of x

a)

6

b)

5

c)

4

d)

3

42.

Sin x=0.4115Sin\ x=0.4115  . Find the value of x.

a)

7.18°7.18\degree  

b)

71.8°71.8\degree  

c)

2.43°2.43\degree  

d)

24.30°24.30\degree  

43.

Cos x=0.5878Cos\ x=0.5878  . Find the value of x.

a)

5.4°5.4\degree  

b)

54°54\degree  

c)

0.99°0.99\degree  

d)

9.99°9.99\degree  

44.

Convert 24.8°24.8\degree   to degrees and minutes.

a)

2°482\degree48'  

b)

24°4824\degree48'  

c)

24°824\degree8'  

d)

244°8244\degree8'  

45.

Convert 6.5°6.5\degree   to degrees and minutes.

a)

6°56\degree5'  

b)

65°065\degree0'  

c)

6°306\degree30'  

d)

63°063\degree0'  

46.

Convert 30 23°30\ \frac{2}{3}\degree   to degrees and minutes.

a)

30°2030\degree20'  

b)

30°3030\degree30'  

c)

40°3040\degree30'  

d)

30°4030\degree40'  

47.

Convert 47.3°47.3\degree   to degrees and minutes.

a)

47°1847\degree18'  

b)

47°3047\degree30'  

c)

40°7340\degree73'  

d)

4.7°34.7\degree3'  

48.

sin 30

a)

0

b)

1/2

c)

1/2( 2\sqrt[]{2}  )

d)

1/2( 3\sqrt[]{3}  )

49.

sin 90

a)

1

b)

1/2

c)

1/2( 2\sqrt[]{2}  )

d)

1/2( 3\sqrt[]{3}  )

50.

cos 0

a)

1

b)

1/2

c)

1/2( 2\sqrt[]{2}  )

d)

1/2( 3\sqrt[]{3}  )

51.

tan 45

a)

0

b)

1

c)

-1/2( 2\sqrt[]{2}  )

d)

-1/2( 3\sqrt[]{3}  )

52.

tan 180

a)

0

b)

1

c)

-1/2( 2\sqrt[]{2}  )

d)

-1/2( 3\sqrt[]{3}  )

53.

tan 225

a)

0

b)

1

c)

-1/2( 2\sqrt[]{2}  )

d)

1/2( 3\sqrt[]{3}  )

54.

cos 90

a)

0

b)

1

c)

-1/2( 2\sqrt[]{2}  )

d)

1/2( 3\sqrt[]{3}  )

55.

Which side is this?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

56.

Which side is this?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

57.

Which side is this?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

58.

Which side is this?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

59.

Which side is this?

a)

Adjacent

b)

Opposite

c)

Hypotenuse

60.
  1. apakah ciri-ciri segitiga bersudut tegak?
a)

bersudut 30 darjah

b)

bersudut 60 darjah

c)

bersudut 180 darjah

d)

bersudut 90 darjah

61.

sisi bersebelahan hipotenus\frac{sisi\ bersebelahan\ }{hipotenus}  adalah rumus bagi;

a)

kos

b)

sin

c)

tan 

d)

kosek 

62.

Tandakan ciri -ciri hipotenus;

a)

sisi yang terpendek

b)

sisi yang terpanjang

c)

bertentangan dengan sudut 90°90\degree

d)

sisi bersebelahan

63.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
64.

Apakah nisbah bagi Tangen?

a)

Sisi bertentangan / sisi Bersebelahan

b)

sisi bersebelahan /sisi bertentangan

c)

Sisi bertentangan /hipotenus

d)

hipotenus /sisi bertentangan

65.

Apakah nisbah bagi sinus?

a)

Hipotenus /Sisi bertentangan

b)

Sisi Bertentangan /Hipotenus

c)

Sisi bertentangan /Sisi bersebelahan

d)

Sisi bersebelahan /Sisi bertentangan

66.

Apakah nisbah bagi kosinus?

a)

Sisi bertentangan /Hipotenus

b)

Sisi bertentangan / sisi bersebelahan

c)

siis bersebelahan / sisi bertentangan

d)

Sisi bersebelahan / Hipotenus

67.

Sin 0o =

a)
b)
c)
d)
68.

sin 60o= ...

a)
b)
c)
d)
69.

sin 30o= ...

a)
b)
c)
d)
70.

cos 30o= ...

a)
b)
c)
d)
71.

sin 60o= ...

a)
b)
c)
d)
72.

cos 90o= ...

a)
b)
c)
d)
73.

Cos 30o = ...

a)
b)
c)
d)
74.

sin 30o = ...

a)
b)
c)
d)
75.

Apakah nilai sin y?

a)

0.8

b)

0.6

c)

1.3

76.

Nyatakan panjang sisi bertentangan bagi ∠X?

a)

16

b)

30

c)

34

77.

Hitung nilai kos θkos\ \theta  

a)

817\frac{\text{8}}{\text{17}}  

b)

1517\frac{\text{15}}{\text{17}}  

c)

815\frac{\text{8}}{\text{15}}  

78.

nyatakan nilai cos⁡ x ?

a)

512\frac{5}{12}

b)

513\frac{5}{13}

c)

1213\frac{12}{13}

d)

125\frac{12}{5}

79.

Nyatakan nilai tan⁡ θ?

a)

1.3334

b)

1.3333

c)

0.75

d)

0.77

80.

Antara berikut, yang manakah segi tiga bersudut tegak?

a)
b)
c)
d)
81.

Tentukan nilai bagi tan θ\theta  bagi segitiga di atas

a)

512\frac{5}{12}  

b)

513\frac{5}{13}  

c)

1213\frac{12}{13}  

82.

Hitungkan nilai bagi q

a)

1 cm

b)

9 cm

c)

3 cm

d)

27 cm

83.

2 tan 45° – 2 sin 60°

a)

2232-2\sqrt{3}

b)

232\sqrt{3}

c)

232-\sqrt{3}

d)

2322-\frac{\sqrt{3}}{2}

84.

Rajah di atas menunjukkan Δ RST. Hitung nilai kos ∠RTS.

a)

1517\frac{15}{17}

b)

815\frac{8}{15}

c)

817\frac{8}{17}

d)

158\frac{15}{8}

85.

Rajah di atas menunjukkan segi tiga PQR. Hitung nilai kos
\angle  PRQ.

a)

34\frac{3}{4}  

b)

43\frac{4}{3}  

c)

45\frac{4}{5}  

d)

68\frac{6}{8}  

86.

Rajah menunjukkan sebuah segitiga bersudut tegak PQR.
Cari nilai sin θ\theta  

a)

513\frac{5}{13}  

b)

1213\frac{12}{13}  

c)

512\frac{5}{12}  

87.

Rajah menunjukkan sebuah segitiga bersudut tegak ABC.
Cari nilai tan  θ\theta

a)

35\frac{3}{5}  

b)

45\frac{4}{5}  

c)

43\frac{4}{3}