EduSahara™ Worksheet

EduSahara™ Assignment

Name : Finding a Trigonometric Ratio given other Ratio

Chapter : Trigonometrical Ratios

Grade : ICSE Grade IX

License : Non Commercial Use

Question 1

1.

(i)

4
3
(ii)

5
4
(iii)

4
5
(iv)

3
4
(v)

5
3

Question 2

2.

(i)

5
3
(ii)

3
4
(iii)

5
4
(iv)

4
3
(v)

3
5

Question 3

3.

(i)

3
4
(ii)

4
3
(iii)

5
3
(iv)

4
5
(v)

5
4

Question 4

4.

(i)

12
5
(ii)

5
12
(iii)

13
5
(iv)

12
13
(v)

13
12

Question 5

5.

(i)

17
15
(ii)

15
8
(iii)

15
17
(iv)

8
15
(v)

17
8

Question 6

6.

(i)

4
3
(ii)

3
4
(iii)

5
4
(iv)

5
3
(v)

3
5

Question 7

7.

(i)

13
5
(ii)

5
12
(iii)

5
13
(iv)

12
5
(v)

13
12

Question 8

8.

(i)

8
15
(ii)

8
17
(iii)

15
8
(iv)

17
8
(v)

17
15

Question 9

9.

(i)

17
8
(ii)

8
17
(iii)

8
15
(iv)

15
8
(v)

17
15

Question 10

10.

(i)

13
5
(ii)

5
12
(iii)

12
5
(iv)

5
13
(v)

13
12

Question 11

11.

(i)

4
5
(ii)

4
3
(iii)

5
4
(iv)

5
3
(v)

3
5

Question 12

12.

(i)

4
5
(ii)

3
5
(iii)

5
3
(iv)

5
4
(v)

3
4

Question 13

13.

(i)

17
8
(ii)

17
15
(iii)

8
17
(iv)

15
17
(v)

15
8

Question 14

14.

(i)

5
3
(ii)

4
3
(iii)

5
4
(iv)

4
5
(v)

3
5

Question 15

15.

(i)

3
4
(ii)

5
4
(iii)

4
5
(iv)

5
3
(v)

3
5

Question 16

16.

(i)

3
5
(ii)

5
4
(iii)

3
4
(iv)

4
5
(v)

5
3

Question 17

17.

(i)

17
8
(ii)

17
15
(iii)

8
17
(iv)

15
17
(v)

8
15

Question 18

18.

(i)

8
17
(ii)

17
8
(iii)

17
15
(iv)

15
17
(v)

8
15

Question 19

19.

(i)

3
5
(ii)

4
5
(iii)

5
3
(iv)

3
4
(v)

5
4

Question 20

20.

(i)

4
5
(ii)

5
3
(iii)

5
4
(iv)

3
5
(v)

3
4

Question 21

21.

(i)

8
15
(ii)

8
17
(iii)

15
17
(iv)

15
8
(v)

17
8

Question 22

22.

(i)

8
17
(ii)

17
8
(iii)

15
17
(iv)

8
15
(v)

15
8

Question 23

23.

(i)

4
5
(ii)

3
5
(iii)

4
3
(iv)

5
3
(v)

3
4

Question 24

24.

(i)

5
12
(ii)

13
5
(iii)

12
13
(iv)

12
5
(v)

5
13

Question 25

25.

(i)

4
3
(ii)

5
3
(iii)

3
5
(iv)

4
5
(v)

3
4

Question 26

26.

(i)

5
4
(ii)

3
4
(iii)

4
3
(iv)

3
5
(v)

4
5

Question 27

27.

(i)

3
4
(ii)

3
5
(iii)

4
5
(iv)

4
3
(v)

5
3

Question 28

28.

(i)

12
5
(ii)

5
13
(iii)

12
13
(iv)

5
12
(v)

13
12

Question 29

29.

(i)

15
17
(ii)

15
8
(iii)

8
15
(iv)

8
17
(v)

17
15

Question 30

30.

(i)

3
4
(ii)

5
3
(iii)

4
5
(iv)

3
5
(v)

4
3

Question 31

31.

(i)

1
12

√

3
(ii)

7
12

√

3
(iii)

7
(iv)

4
7

√

3
(v)

4

√

3

Question 32

32.

(i)

1
4

√

2
(ii)

3
(iii)

2
3

√

2
(iv)

3
4

√

2
(v)

2

√

2

Question 33

33.

(i)

1
3

√

5
(ii)

3
5

√

5
(iii)

1
2

√

5
(iv)

2
5

√

5
(v)

3
2

Question 34

34.

(i)

1
3

√

5
(ii)

3
2
(iii)

3
5

√

5
(iv)

1
2

√

5
(v)

2
5

√

5

Question 35

35.

(i)

1
4

√

2
(ii)

2

√

2
(iii)

3
(iv)

2
3

√

2
(v)

3
4

√

2

Question 36

36.

(i)

1
3

√

7
(ii)

3
4
(iii)

4
7

√

7
(iv)

4
3
(v)

3
7

√

7

Question 37

37.

(i)

2
5

√

5
(ii)

3
2
(iii)

3
5

√

5
(iv)

1
2

√

5
(v)

2
3

Question 38

38.

(i)

4
7

√

7
(ii)

3
7

√

7
(iii)

4
3
(iv)

3
4
(v)

1
3

√

7

Question 39

39.

(i)

7
2
(ii)

2
15

√

5
(iii)

3
2

√

5
(iv)

7
15

√

5
(v)

2
7

Question 40

40.

(i)

4

√

5
(ii)

1
20

√

5
(iii)

9
20

√

5
(iv)

9
(v)

1
9

Question 41

41.

(i)

1
4

√

15
(ii)

4
15

√

15
(iii)

4
(iv)

√

15
(v)

1
4

Question 42

42.

(i)

3
8
(ii)

8
3
(iii)

1
8

√

55
(iv)

1
3

√

55
(v)

8
55

√

55

Question 43

43.

(i)

3
5

√

5
(ii)

3
2
(iii)

1
3

√

5
(iv)

1
2

√

5
(v)

2
3

Question 44

44.

(i)

2
5

√

14
(ii)

9
5
(iii)

2
9

√

14
(iv)

5
9
(v)

9
28

√

14

Question 45

45.

(i)

7
4
(ii)

7
33

√

33
(iii)

4
7
(iv)

1
7

√

33
(v)

1
4

√

33

Question 46

46.

(i)

2
5

√

5
(ii)

3
2
(iii)

1
3

√

5
(iv)

2
3
(v)

3
5

√

5

Question 47

47.

(i)

1
4

√

15
(ii)

1
4
(iii)

4
(iv)

4
15

√

15
(v)

1
15

√

15

Question 48

48.

(i)

8
15

√

15
(ii)

1
8

√

15
(iii)

7
8
(iv)

8
7
(v)

7
15

√

15

Question 49

49.

(i)

3
55

√

55
(ii)

1
8

√

55
(iii)

8
55

√

55
(iv)

8
3
(v)

3
8

Question 50

50.

(i)

2
(ii)

2
3

√

3
(iii)

1
2
(iv)

1
2

√

3
(v)

1
3

√

3

Question 51

51.

(i)

1
2
(ii)

√

3
(iii)

1
3

√

3
(iv)

2
(v)

1
2

√

3

Question 52

52.

(i)

5
3
(ii)

3
4
(iii)

4
5
(iv)

4
3
(v)

3
5

Question 53

53.

(i)

2
5

√

5
(ii)

3
2
(iii)

2
3
(iv)

1
3

√

5
(v)

1
2

√

5

Question 54

54.

(i)

3
4
(ii)

4
3
(iii)

5
4
(iv)

3
5
(v)

4
5

Question 55

55.

(i)

3
5
(ii)

4
5
(iii)

3
4
(iv)

5
4
(v)

4
3

Question 56

56.

(i)

9
8

√

2
(ii)

4
9

√

2
(iii)

7
8

√

2
(iv)

4
7

√

2
(v)

7
9

Question 57

57.

(i)

2
3

√

3
(ii)

1
2

√

3
(iii)

1
3

√

3
(iv)

1
2
(v)

√

3

Question 58

58.

(i)

1
2

√

3
(ii)

√

3
(iii)

1
2
(iv)

1
3

√

3
(v)

2
3

√

3

Question 59

59.

(i)

3
7
(ii)

2
7

√

10
(iii)

7
20

√

10
(iv)

2
3

√

10
(v)

3
20

√

10

Question 60

60.

(i)

4
3
(ii)

3
5
(iii)

3
4
(iv)

5
3
(v)

4
5

Question 61

61.

If
cot

θ
=
1
7
, find

(

1

+

sin

θ

)

(

1

−

sin

θ

)

(

1

−

cos

θ

)

(

1

+

cos

θ

)

(i)

(
-1
49
)
(ii)

3
49
(iii)

1
51
(iv)

1
47
(v)

1
49

Question 62

62.

If
tan

θ
=
1
3
, find

(

1

+

cos

θ

)

(

1

−

cos

θ

)

(

1

+

sin

θ

)

(

1

−

sin

θ

)

(i)

1
3
(ii)

(
-1
9
)
(iii)

1
11
(iv)

1
9
(v)

1
7

Question 63

63.

Given that
17

sin

θ

=

8
, find
cos

θ

(i)

15
8
(ii)

15
17
(iii)

8
15
(iv)

17
15
(v)

17
8

Question 64

64.

Given that
17

sin

θ

=

8
, find
tan

θ

(i)

8
15
(ii)

15
17
(iii)

15
8
(iv)

17
8
(v)

17
15

Question 65

65.

Given that
5

sin

θ

=

3
, find
cot

θ

(i)

5
4
(ii)

5
3
(iii)

4
3
(iv)

3
4
(v)

4
5

Question 66

66.

Given that
13

sin

θ

=

5
, find
sec

θ

(i)

13
12
(ii)

12
5
(iii)

13
5
(iv)

12
13
(v)

5
12

Question 67

67.

Given that
5

sin

θ

=

4
, find
cosec

θ

(i)

4
3
(ii)

3
5
(iii)

3
4
(iv)

5
4
(v)

5
3

Question 68

68.

Given that
17

cos

θ

=

15
, find
sin

θ

(i)

17
15
(ii)

8
17
(iii)

15
8
(iv)

17
8
(v)

8
15

Question 69

69.

Given that
5

cos

θ

=

4
, find
tan

θ

(i)

4
3
(ii)

3
5
(iii)

5
4
(iv)

3
4
(v)

5
3

Question 70

70.

Given that
17

cos

θ

=

15
, find
cot

θ

(i)

15
8
(ii)

17
15
(iii)

8
15
(iv)

17
8
(v)

8
17

Question 71

71.

Given that
5

cos

θ

=

3
, find
sec

θ

(i)

3
4
(ii)

5
3
(iii)

4
5
(iv)

5
4
(v)

4
3

Question 72

72.

Given that
5

cos

θ

=

3
, find
cosec

θ

(i)

3
4
(ii)

5
3
(iii)

5
4
(iv)

4
3
(v)

4
5

Question 73

73.

Given that
3

tan

θ

=

4
, find
sin

θ

(i)

4
5
(ii)

5
4
(iii)

3
4
(iv)

3
5
(v)

5
3

Question 74

74.

Given that
3

tan

θ

=

4
, find
cos

θ

(i)

4
5
(ii)

3
4
(iii)

3
5
(iv)

5
4
(v)

5
3

Question 75

75.

Given that
12

tan

θ

=

5
, find
cot

θ

(i)

13
5
(ii)

12
5
(iii)

13
12
(iv)

5
13
(v)

12
13

Question 76

76.

Given that
4

tan

θ

=

3
, find
sec

θ

(i)

4
3
(ii)

4
5
(iii)

3
5
(iv)

5
3
(v)

5
4

Question 77

77.

Given that
15

tan

θ

=

8
, find
cosec

θ

(i)

17
8
(ii)

17
15
(iii)

15
8
(iv)

15
17
(v)

8
17

Question 78

78.

Given that
5

cot

θ

=

12
, find
sin

θ

(i)

13
5
(ii)

12
13
(iii)

13
12
(iv)

5
13
(v)

5
12

Question 79

79.

Given that
3

cot

θ

=

4
, find
cos

θ

(i)

5
4
(ii)

3
5
(iii)

4
5
(iv)

3
4
(v)

5
3

Question 80

80.

Given that
8

cot

θ

=

15
, find
tan

θ

(i)

17
8
(ii)

17
15
(iii)

8
15
(iv)

8
17
(v)

15
17

Question 81

81.

Given that
3

cot

θ

=

4
, find
sec

θ

(i)

5
3
(ii)

4
5
(iii)

5
4
(iv)

3
4
(v)

3
5

Question 82

82.

Given that
8

cot

θ

=

15
, find
cosec

θ

(i)

8
17
(ii)

8
15
(iii)

17
15
(iv)

17
8
(v)

15
17

Question 83

83.

Given that
15

sec

θ

=

17
, find
sin

θ

(i)

15
8
(ii)

8
17
(iii)

8
15
(iv)

15
17
(v)

17
8

Question 84

84.

Given that
4

sec

θ

=

5
, find
cos

θ

(i)

4
3
(ii)

5
3
(iii)

3
5
(iv)

3
4
(v)

4
5

Question 85

85.

Given that
3

sec

θ

=

5
, find
tan

θ

(i)

3
5
(ii)

4
3
(iii)

3
4
(iv)

5
4
(v)

4
5

Question 86

86.

Given that
15

sec

θ

=

17
, find
cot

θ

(i)

8
15
(ii)

17
8
(iii)

8
17
(iv)

15
8
(v)

15
17

Question 87

87.

Given that
12

sec

θ

=

13
, find
cosec

θ

(i)

5
12
(ii)

5
13
(iii)

12
5
(iv)

13
5
(v)

12
13

Question 88

88.

Given that
3

cosec

θ

=

5
, find
sin

θ

(i)

4
3
(ii)

4
5
(iii)

3
5
(iv)

5
4
(v)

3
4

Question 89

89.

Given that
4

cosec

θ

=

5
, find
cos

θ

(i)

4
5
(ii)

4
3
(iii)

5
3
(iv)

3
4
(v)

3
5

Question 90

90.

Given that
4

cosec

θ

=

5
, find
tan

θ

(i)

3
5
(ii)

4
5
(iii)

4
3
(iv)

5
3
(v)

3
4

Question 91

91.

Given that
5

cosec

θ

=

13
, find
cot

θ

(i)

12
5
(ii)

5
13
(iii)

12
13
(iv)

13
12
(v)

5
12

Question 92

92.

Given that
8

cosec

θ

=

17
, find
sec

θ

(i)

17
15
(ii)

15
8
(iii)

8
15
(iv)

15
17
(v)

8
17

Assignment Key