Free Printable Trigonometry class 10

1.

If tan theta is 7/4root 2 then sin theta is.......

a)

7/9

b)

9/7

c)

4/7

d)

7/4

2.

The values of trigonometric ratios of an angle .................. With the lengths of. .................. the triangles if the angle remains the same.

(a)

3.

What is sin45-cos 45

a)

0

b)

1/root2

c)

1

d)

Root 2

4.

The value of sin a Or cos a never exceeds 1

a)

True

b)

False

c)

Nothing

d)

Depends

5.

In a triangle ABC if AB=5 angle ACB=45 then AC and BC

a)

1&2

b)

BC=1 AC =6

c)

3

d)

4

6.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

7.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

8.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

9.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

10.

Which is the correct applied ratio?

a)

A

b)

B

c)

C

d)

D

11.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

12.

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

13.

sin A = ?

a)

7/25

b)

24/25

c)

7/24

d)

25/7

14.

Which trigonometric ratio you would use to find side AB?

a)

Sin 60 = 10/AB

b)

Sin 60 = AB /10

c)

Cos 60 = 10 / AB
Cos 60 = 10 /AB

d)

tan 60 = AB /10

15.

Which trigonometric ratio you should use to find the height(h)?

a)

sin 60 = h/1000

b)

cos 60 = h / 1000

c)

cos 60 = 1000/h

d)

tan 60 = h / 1000

16.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

17.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

18.

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

19.

Kevin leans a 16 foot ladder l against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

20.

What is the area of the provided triangle?

a)

66.24

b)

132.49

c)

41.58

d)

81.36

21.

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

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

22.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

23.

cos B = ?

a)

12/13

b)

12/5

c)

5/13

d)

5/12

24.

Find the missing value.

Round to the nearest tenths.

a)

50.6^o

b)

29.4^o

c)

34.8^o

d)

50.1^o

25.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

26.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

27.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

28.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

29.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

30.

A sailing boat, which was supposed to be travelling north, veered off course and travelled N 45° E for a distance of 0.64 km, as shown. How far east had the sailing boat travelled? Give your answer to 2 decimal places.

a)

0.45 km

b)

1.28 km

c)

0.64 km

d)

1.09 km

31.

A kite is on a 300-ft string. The angle of elevation from the ground to the kite is 39°. Which is the best estimate of the height of the kite above the ground?

a)

629 feet

b)

243 feet

c)

189 feet

d)

233 feet

32.

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

a)

32√3

b)

16√3

c)

32

d)

16√2

33.

What if the value of x?

a)

16

b)

12

c)

4

d)

64

34.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

35.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

36.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

37.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

38.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

39.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

40.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

41.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

42.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

43.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

44.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

45.

SinA = CosA for what value of A ?

a)

A=90°

b)

A=60°

c)

A=45°

d)

A=30°

46.

If tanA = CotA then the value of SecA is ?

a)

2

b)

1

c)

√2

d)

1/√3

47.

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

a)

45°

b)

90°

c)

30°

d)

1/2

48.

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

a)

0°

b)

30°

c)

60°

d)

90°

49.

tanB= 1/√3 at B = ?

a)

60°

b)

30°

c)

90°

d)

45°

50.

Sec60°× tan30°- Cos90° is equal to :

a)

2

b)

1/2

c)

√3/2

d)

2/√3

51.

Inverse function of Sine of an angle ?

a)

Cosine

b)

Cosecant

c)

Secant

d)

Cotangent

52.

Formula for TanA where A is any acute angle ?

a)

Perpendicular/ Hypotenuse

b)

Perpendicular/Base

c)

Base/perpendicular

d)

Base/Hypotenuse

53.

Inverse function of Secant of an angle ?

a)

Cosecant

b)

Cosine

c)

Sine

d)

Tangent

54.

In the following figure , the value of CotA is ?

a)

12/13

b)

5/12

c)

5/13

d)

13/5

55.

Value of Cosec90° is ?

a)

0

b)

1

c)

Not defined

d)

2

56.

Value of Sec90° is ?

a)

1

b)

0

c)

2

d)

Not defined

57.

Value of Cosec30°- Cos60° is ?

a)

1/2

b)

3/2

c)

Not defined

d)

2

58.

Value of Cosec30°- Cos60° is ?

a)

1/2

b)

3/2

c)

Not defined

d)

2

59.

What is the value of Sec30°Cos30°+Sin45°Cosec45°-cot30°

(a)

60.

If CosecA =2/√3 than A = ?

a)

30°

b)

60°

c)

45°

d)

90°

61.

If SecB= 1 then B= ?

a)

0°

b)

60°

c)

30°

d)

45°

62.

Which of the following trigonometric ratio is not correct ?

a)

SecA= Hypotenuse/Base

b)

CotA= Perpendicular/Base

c)

SinA= perpendicular/Hypotenuse

d)

CosecA= Hypotenuse/perpendicular

63.

Which of the following formula is not Correct ?

a)

tanA×CotA=1

b)

tanA= SinA/CosA

c)

CotA =1/tanA

d)

CotA= SinA/CosA

64.

Sin30°- Cos60°+ tan60° is ?

a)

0

b)

1/√3

c)

1

d)

√3

65.

TanA×CotA = ?

a)

0

b)

1

c)

2

d)

3

66.

Simplify.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

67.

Simplify.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

68.

Simplify.

a)

sinθ

b)

cot²θ

c)

tan²θ

d)

cos²θ

69.

Simplify.

a)

secθ

b)

cos²θ

c)

sin²θ

d)

sin²θ/cos²θ

70.

Simplify.

a)

sinθ

b)

cos²θ

c)

sin²θ

d)

1- sin²θ

71.

Simplify.

a)

sin x

b)

cos x

c)

tan x

d)

1

72.

Simplify. (secx-1)(secx+1)

a)

tan²x

b)

sinx

c)

cot²x

d)

cosx

73.

Please select the correct solution csc²x - cot²x=

a)

sec²x - 1

b)

1

c)

sec²x

d)

csc²x - 1

74.

Please select the correct solution cot²x + 1 =

a)

sec²x - 1

b)

1

c)

sec²x

d)

csc²x

75.

Please select the correct solution tan²x - sec²x =

a)

sec²x - 1

b)

-1

c)

1

d)

1 - csc²x

76.

$Tan^2A-Sec^2A=$

a)

0

b)

1

c)

-1

77.

If tan θ = cot (30° + θ), find the value of θ

a)

60°

b)

30°

c)

90°

78.

$If\sinθ+\sin^2θ=1\ then\ Cos^2θ+\cos^4θ\ =\ --$

a)

0

b)

1

c)

2

79.

Given that $\sin\theta=\frac{a}{b}\ then\ \tan\theta=?$

a)

$\frac{b}{\sqrt{b^2-a^2}}$

b)

$\frac{\sqrt{b^2-a^2}}{b}$

c)

$\frac{a}{\sqrt{b^2-a^2}}$

d)

$\frac{\sqrt{b^2-a^2}}{a}$

80.

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

a)

45°

b)

90°

c)

30°

d)

1/2

81.

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

a)

0°

b)

30°

c)

60°

d)

90°

82.

Inverse function of Secant of an angle ?

a)

Cosecant

b)

Cosine

c)

Sine

d)

Tangent

83.

Which of the following formula is not Correct ?

a)

tanA×CotA=1

b)

tanA= SinA/CosA

c)

CotA =1/tanA

d)

CotA= SinA/CosA

84.

Simplify...

\cos\left(\theta\right)+\sin\left(\theta\right)\tan\left(\theta\right)

a)

$\sec\left(\theta\right)$

b)

$\csc\left(\theta\right)$

85.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

86.

The reciprocal of sin A is cos A

a)

TRUE

b)

FALSE

87.

The value of Cos 90 degree is 1

a)

TRUE

b)

FALSE

88.

value of tan 45⁰ =1

a)

TRUE

b)

FALSE

89.

In triangle, if <ABD = 90⁰, then the hypotenuse is the side

a)

AB

b)

BD

c)

AD

d)

NONE OF THESE

90.

cos 0°. cos 1°. cos 2°. cos 3°… cos 89° .cos 90° =

a)

1

b)

- 1

c)

0

d)

$\frac{1}{\sqrt{2}}$

91.

$if,\ \sinθ=\frac{a}{b},\ then,\ \tanθ=$

a)

$\frac{b}{\sqrt{b^2-a^2}}$

b)

$\frac{\sqrt{b^2-a^2}}{b}$

c)

$\frac{\sqrt{b^2-a^2}}{a}$

d)

$\frac{a}{\sqrt{b^2-a^2}}$

92.

$If\ \cos A=\frac{4}{5},\ then\ \tan A=?$

a)

$\frac{3}{5}$

b)

$\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$\frac{4}{5}$

93.

If sin A = 1/2, then value of cot A is

a)

$\sqrt{3}$

b)

$\frac{1}{\sqrt{3}}$

c)

$1$

d)

none of these

94.

If cos A = 15/17, then cosec A =

a)

8/17

b)

17/8

c)

15/8

d)

none of these

95.

$\tan A\ =\ \frac{4}{3},\ \ then,\ \sec A=$

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

$\frac{5}{4}$

d)

$\frac{4}{5}$

96.

$\cos\ \theta=$

a)

29/21

b)

21/29

c)

20/29

d)

29/20

97.

$if\ x\ \tan45\degree\sin30\degree=\cos30\degree\tan30\degree,\ then\ x\ is\ equal\ to-$

a)

$\sqrt{3}$

b)

$\frac{\text{1}}{\text{2}}$

c)

$\frac{1}{\sqrt{2}}$

d)

1

98.

The value of $\sin^230\degree-\cos^230\degree\ is$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

99.

Nilai $\sin\alpha$ adalah ....

a)

$\frac{1}{5}$

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{5}{4}$

e)

$\frac{4}{5}$

100.

$\sin\ 45^o\ =\ ....$

a)

$\frac{1}{2}\sqrt{2}$

b)

$\frac{1}{2}\sqrt{3}$

c)

$\frac{1}{2}$

d)

$\frac{1}{3}\sqrt{3}$

101.

$2\sin\ \frac{x}{2}=1,\ find\ x$

a)

0

b)

60

c)

30

d)

90

102.

$\sqrt{3}\ \ \ \sin x\ =\ \cos x,\ find\ x.$

a)

30

b)

60

103.

$\tan\left(A-B\right)=\frac{1}{\sqrt{3}}and\ \tan\ \left(A+B\right)=\sqrt{3}$

a)

A=30

b)

A=45

c)

A=60

d)

A=20

104.

If sec A = cosec A then A=?

a)

45

b)

30

c)

60

d)

90

105.

sin45sin30+cos45cos30=?

a)

$\frac{1+\sqrt{3}}{2\sqrt{2}}$

b)

$\frac{1+\sqrt{2}}{3\sqrt{2}}$

106.

$If,\sin A\ =\ \frac{1}{2},\ \cot\ A=$

a)

$\frac{1}{\sqrt{3}}$

b)

$\sqrt{3}$

c)

$\frac{\sqrt{3}}{2}$

d)

1

107.

a)

$\frac{\sqrt{3}}{2}$

b)

1

c)

$\frac{1}{2}$

d)

0

108.

$If,\ \tan\ A\ =\ \frac{3}{4},\ then,\ \sin A.\cos\ A=\$

a)

12 / 25

b)

25/12

c)

1

d)

$\frac{13}{18}$

109.

$\left(\ \sqrt{3}+1\right)\left(3-\ \cot\ 30^0\right)=$

a)

$\sqrt{3}$

b)

$2\sqrt{3}$

c)

0

d)

$4\sqrt{3}$

110.

$If,\ \sqrt{3}\tan\ \theta=1$
$\sin^2\theta-\cos^2\theta=$

a)

$-\ \frac{1}{2}$

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

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

Trigonometry class 10

Total questions: 110

Worksheet time: 3hrs 39mins

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