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Trigonometry

Trigonometry

Assessment

Presentation

•

Mathematics

•

University

•

Easy

Created by

Dr. Thakkar

Used 2+ times

FREE Resource

0 Slides • 102 Questions

1

Multiple Choice

SinA = CosA for what value of A ?

1

A=90°

2

A=60°

3

A=45°

4

A=30°

2

Multiple Choice

Say 'TRUE' or 'FALSE'
If the length of the shadow of tower is increasing, then the angle of elevation of the sun is also increasing
1
TRUE
2
FALSE

3

Multiple Choice

2sin⁡245°2\sin^245\degree  =......

1

1

2

12\frac{1}{2}  

3

12\frac{1}{\sqrt{2}}  

4

None of the above

4

Multiple Choice

The reciprocal of sin A is cos A

1

TRUE

2

FALSE

5

Multiple Choice

sin⁡θ=\sin\theta=  

1

oppositehypotenuse\frac{opposite}{hypotenuse}  

2

hypotenuseopposite\frac{hypotenuse}{opposite}  

3

adjacenthypotenuse\frac{adjacent}{hypotenuse}  

4

oppositeadjacent\frac{opposite}{adjacent}  

6

Multiple Choice

If sinA = 0.5, then tan A = ........

1

1/√3

2

1/2

3

√3/2

4

√3

7

Multiple Choice

The ratio in a right triangle of adjacent to hypotenuse is _____
1

sine

2

cosine

3

tangent

4

inverse cosine

8

Multiple Choice

If tanA = CotA then the value of SecA is ?

1

2

2

1

3

√2

4

1/√3

9

Multiple Choice

Question image
 Find side AB?
1
20 m
2
5 m
3
11.54 m
4
8.66 m

10

Multiple Choice

sin B =

1

1/ cosB

2

1/cosec B

3

cosec B

4

None of the above

11

Multiple Choice

Question image
Choose the correct ratio.
1
A
2
B
3
C
4
D

12

Multiple Choice

cos⁡θ=\cos\theta=  

1

oppositehypotenuse\frac{opposite}{hypotenuse}  

2

hypotenuseadjacent\frac{hypotenuse}{adjacent}  

3

adjacenthypotenuse\frac{adjacent}{hypotenuse}  

4

oppositeadjacent\frac{opposite}{adjacent}  

13

Multiple Choice

Question image
Choose the correct ratio.
1
sin(37)=x/14
2
cos(37)=x/14
3
tan(37)=x/14
4
sin(37)=14/x

14

Multiple Choice

If cos A = 4/5, then sin A = ........

1

5/3

2

4/5

3

5/4

4

None of the above

15

Multiple Choice

Question image
Which scenario describes the picture shown?
1
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
2
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
3
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
4
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

16

Multiple Choice

Cot A is the reciprocal of tan A

1

TRUE

2

FALSE

17

Multiple Choice

Question image
What is the correct ratio?
1
9/41
2
40/41
3
9/40
4
40/9

18

Multiple Choice

Greek letter π is the ratio of

1

Diameter : Circumference

2

Circumference : Radius

3

Circumference : Diameter

4

Radius : Circumference

19

Multiple Choice

Question image
What is the correct ratio?
1
7/24
2
24/7
3
7/25
4
24/25

20

Multiple Choice

tan⁡θ=\tan\theta=  

1

oppositehypotenuse\frac{opposite}{hypotenuse}  

2

hypotenuseadjacent\frac{hypotenuse}{adjacent}  

3

adjacentopposite\frac{adjacent}{opposite}  

4

oppositeadjacent\frac{opposite}{adjacent}  

21

Multiple Choice

Question image
What is the correct ratio?
1
20/12
2
12/20
3
12/16
4
16/12

22

Multiple Choice

The value of π is

1

45°

2

180°

3

90°

4

360°

23

Multiple Choice

Question image
What is the correct ratio?
1
6/10
2
6/8
3
8/10
4
8/6

24

Multiple Choice

Is tanA the reciprocal of cotA

1

NO

2

YES

25

Multiple Choice

Question image
What is the correct equation to solve for x ?
1
tan( 46 ) = 17/x
2
sin ( 46 ) = x/17
3
tan (46 ) = x/17
4
cos (46) = x/17

26

Multiple Choice

Find the value of following:
sin30° x cos⁡2\cos^2 45° x  tan⁡3\tan^3 45°

1

3/4

2

1/4

3

1/√2

4

1

27

Multiple Choice

Question image

Which trigonometric ratio should you use?

1

Tangent Ratio

2

Sine Ratio

3

Cosine Ratio

4

Any ratio

28

Multiple Choice

Question image
What is the correct ratio?
1
9/41
2
40/41
3
9/40
4
40/9

29

Multiple Choice

Question image

Which trigonometric ratio should you use?

1

Tangent Ratio

2

Sine Ratio

3

Cosine Ratio

4

Any ratio

30

Fill in the Blanks

Type answer...

31

Multiple Choice

Sum of the square of Sin A and Cos A is 1

1

TRUE

2

FALSE

32

Fill in the Blanks

Type answer...

33

Multiple Choice

Question image
What is the correct ratio?
1
7/24
2
24/7
3
7/25
4
24/25

34

Fill in the Blanks

Type answer...

35

Multiple Choice

Say 'TRUE' or 'FALSE'
In a right triangle, if two acute angles are equal then the length of hypotenuse is √2 times the length of each side 
1
TRUE
2
FALSE

36

Fill in the Blanks

Type answer...

37

Multiple Choice

Question image
What is the correct ratio?
1
6/10
2
6/8
3
8/10
4
8/6

38

Multiple Choice

The value of Cos 90 degree is 1

1

TRUE

2

FALSE

39

Multiple Choice

Question image
What is the correct equation to solve for x ?
1
tan( 46 ) = 17/x
2
sin ( 46 ) = x/17
3
tan (46 ) = x/17
4
cos (46) = x/17

40

Multiple Choice

 The value of cos⁡90°\cos90\degree is 1

1

TRUE

2

FALSE

41

Multiple Choice

Question image
What is the correct equation to solve for x ?
1
tan (58) = x/11
2
tan (58) = 11/x
3
cos (58) = x/11
4
sin (58) = x/11

42

Multiple Choice

The trigonometric ratio can be applied in any triangle

1

TRUE

2

FALSE

43

Multiple Choice

Question image
What is the correct equation to solve for x?
1
tan (45) = x/13
2
cos (45) = x/13
3
sin (45) = 13/x
4
sin (45) = x/13

44

Multiple Choice

If tanx = Sin45°Cos45°+Sin30° then x equals :

1

45°

2

90°

3

30°

4

1/2

45

Multiple Choice

The ratio in a right triangle of adjacent to hypotenuse is _____
1
sine
2
cosine
3
tangent
4
inverse cosine

46

Multiple Choice

The value of sin A and sin B will always be same for a right triangle ABC right angled at C

1

TRUE

2

FALSE

47

Multiple Choice

Question image
What is the cosine of angle P?
1
p/q
2
q/r
3
p/r
4
r/q

48

Multiple Choice

cot⁡ (90°−A)=\cot\ \left(90\degree-A\right)=  

1

sec A

2

sin A

3

tan A

4

cos A

49

Multiple Choice

Question image
Which side is opposite angle x?
1
1
2
2
3
3

50

Multiple Choice

The value of sin A and cos A can never exceed 1

1

TRUE

2

FALSE

51

Multiple Choice

Question image
Which side is the hypotenuse?
1
1
2
2
3
3

52

Multiple Choice

In a right triangle, one side other than the hypotenuse is 8 cm and an acute angle is 45°. What is the length of the hypotenuse?
1
4 cm
2
8 cm
3
8√2 cm
4
None of the above

53

Multiple Choice

Question image
What is the correct ratio?
1
7/24
2
24/7
3
7/25
4
24/25

54

Multiple Choice

sec A and cosec A can take any value on the real number line.

1

TRUE

2

FALSE

55

Multiple Choice

Question image
What is the correct ratio?
1
9/41
2
40/41
3
9/40
4
40/9

56

Multiple Choice

If ΔABC\Delta ABC  is right angled at C, then find the value of cos (A+B)

1

0

2

1

3

12\frac{1}{2}  

4

32\frac{\sqrt{3}}{2}  

57

Multiple Choice

Write sin 62o in terms of cos.
1
cos 28o
2
cos 62o
3
cos 118o
4
cos 38o

58

Multiple Choice

sin A (90 -A) = cos A

1

TRUE

2

FALSE

59

Multiple Choice

In right triangle ABC, ∠A and ∠B are complementary angles.  The value of cos A = 5/13.  What is the value of sin B?
1
5/13
2
12/13
3
13/12
4
13/5

60

Multiple Select

If SinA=1/2 and CosA=1/2 then A+B is equal to :

1

0°

2

30°

3

60°

4

90°

61

Multiple Choice

Question image

Which trigonometric ratio should you use?

1

Tangent Ratio

2

Sine Ratio

3

Cosine Ratio

4

Any ratio

62

Multiple Choice

tan 700 tan 200 =1

1

TRUE

2

FALSE

63

Multiple Choice

Question image
Choose the correct ratio.
1
A
2
B
3
C
4
D

64

Multiple Choice

In a right angled triangle the side opposite to right angle is called

1

Base

2

Perpendicular

3

Hypotenuse

4

None of the above

65

Multiple Choice

Question image
What is the length of x in this 45-45-90 triangle?
1
4√2
2
4
3
8
4
4√3

66

Multiple Choice

cos (900 - A ) = sec A

1

TRUE

2

FALSE

67

Multiple Choice

In a right triangle, hypotenuse is 10 cm long and an acute angle is 30°. What is the length of the side opposite to this angle?
1
5 cm
2
5√2 cm
3
10 cm
4
None of the above

68

Multiple Choice

tan2 A - sec2 A = 1

1

TRUE

2

FALSE

69

Multiple Choice

sin⁡229°+sin⁡261°=\sin^229\degree+\sin^261\degree=  

1

1

2

0

3

2sin⁡229°2\sin^229\degree  

4

2cos⁡261°2\cos^261\degree  

70

Multiple Choice

value of tan 450 =1

1

TRUE

2

FALSE

71

Multiple Choice

tanB= 1/√3 at B = ?

1

60°

2

30°

3

90°

4

45°

72

Multiple Choice

the value of cos A is increases as angle A increases

1

TRUE

2

FALSE

73

Multiple Choice

sin⁡θ=43 \sin\theta=\frac{4}{3}\  for some angle of  θ\theta  . State true or false

1

TRUE

2

FALSE

74

Multiple Choice

sec A = 12/5 for some value of angle A

1

TRUE

2

FALSE

75

Multiple Choice

The length of the shadow of a 4 m high vertical pole on the level ground at an instant when the sun elevation is 60° is___
1
2 m
2
4√3 m
3
4⁄√3 m 
4
4 m

76

Multiple Choice

sec⁡260°−1=\sec^260\degree-1=  

1

2

2

3

3

4

4

0

77

Multiple Select

Sec60°× tan30°- Cos90° is equal to :

1

2

2

1/2

3

√3/2

4

2/√3

78

Multiple Choice

Write the maximum value of sin⁡θ\sin\theta  


1

1

2

-1

3

0

4

2

79

Multiple Choice

The ratio of the length of the pole and its shadow is 1 : √3.  The angle of elevation of the sun is ____
1
30°
2
60°
3
45°
4
90°

80

Multiple Choice

State true or false: Two angles are said to be complementary if their sum is 90°90\degree  


1

TRUE

2

FALSE

81

Multiple Choice

Inverse function of Sine of an angle ?

1

Cosine

2

Cosecant

3

Secant

4

Cotangent

82

Multiple Choice

State true or false cos⁡θ=basehypotenuse\cos\theta=\frac{base}{hypotenuse}  

1

TRUE

2

FALSE

83

Multiple Choice

Question image
1
30°
2
60°
3
45°
4
90°

84

Multiple Choice

Value of  cos⁡45°\cos45\degree  is

1

0

2

12\frac{1}{2}  

3

12\frac{1}{\sqrt{2}}  

4

32\frac{\sqrt{3}}{2}  

85

Multiple Choice

Formula for TanA where A is any acute angle ?

1

Perpendicular/ Hypotenuse

2

Perpendicular/Base

3

Base/perpendicular

4

Base/Hypotenuse

86

Multiple Choice

sin⁡ (90°−A)=\sin\ \left(90\degree-A\right)=  

1

sec A

2

cot A

3

cosec A

4

cos A

87

Multiple Choice

Question image
1
10 cm
2
10√3 cm
3
5 cm
4
20 cm

88

Multiple Choice

sin⁡ (90°−θ)=\sin\ \left(90\degree-\theta\right)=  

1

cos⁡θ\cos\theta  

2

tan⁡θ\tan\theta  

3

sec⁡θ\sec\theta  

4

cot⁡ θ\cot\ \theta  

89

Multiple Select

Inverse function of Secant of an angle ?

1

Cosecant

2

Cosine

3

Sine

4

Tangent

90

Multiple Choice

The angle of elevation of the top of a tower is 30°.  If the height of the tower is doubled then the angle of elevation of the top will be_____
1
No change: 30°
2
Will be doubled : 60°
3
will become 45°
4
None of the above

91

Multiple Select

TanA×CotA = ?

1

0

2

1

3

2

4

3

92

Multiple Choice

Say 'TRUE' or 'FALSE'
If both the height of the pole and the distance of the point of observation from the foot are increased by the same length, the angle of elevation of its top remains unchanged
1
TRUE
2
FALSE

93

Multiple Select

Question image

In the following figure , the value of CotA is ?

1

12/13

2

5/12

3

5/13

4

13/5

94

Multiple Choice

Value of Cosec90° is ?

1

0

2

1

3

Not defined

4

2

95

Multiple Choice

Value of Cosec30°- Cos60° is ?

1

1/2

2

3/2

3

Not defined

4

2

96

Multiple Select

Value of Sec90° is ?

1

1

2

0

3

2

4

Not defined

97

Multiple Select

Sin30°- Cos60°+ tan60° is ?

1

0

2

1/√3

3

1

4

√3

98

Fill in the Blanks

Type answer...

99

Multiple Select

If CosecA =2/√3 than A = ?

1

30°

2

60°

3

45°

4

90°

100

Multiple Select

If SecB= 1 then B= ?

1

0°

2

60°

3

30°

4

45°

101

Multiple Select

Which of the following trigonometric ratio is not correct ?

1

SecA= Hypotenuse/Base

2

CotA= Perpendicular/Base

3

SinA= perpendicular/Hypotenuse

4

CosecA= Hypotenuse/perpendicular

102

Multiple Select

Which of the following formula is not Correct ?

1

tanA×CotA=1

2

tanA= SinA/CosA

3

CotA =1/tanA

4

CotA= SinA/CosA

SinA = CosA for what value of A ?

1

A=90°

2

A=60°

3

A=45°

4

A=30°

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