Free Printable Trigonometry Quiz

1.

2tan 45° /1+tan²45⁰is equal to :

a)

cos 90°

b)

sin 90°

c)

Tan90⁰

d)

Sin45⁰

2.

If tan A =5/12 then the value of cos A is :

a)

5/12

b)

12/5

c)

13/5

d)

12/13

3.

If cot A =7/24 then the value of cosA

a)

24/7

b)

24/25

c)

25/24

d)

7/25

4.

If cos A =4/5 then the value of tan A?

a)

1

b)

3/4

c)

1/2

d)

1/4

5.

The value of cos² a+ sin²a is always :

a)

zero

b)

1

c)

2

d)

3

6.

If sinA- cosA = 0, then the value of (sin⁴A+ cos⁴A) is :

a)

1

b)

3/4

c)

1/2

d)

1/4

7.

Tangent is a line.....

a)

Cuts the circle at two points

b)

Cuts the circle at one point

c)

Touches the circle at two points

d)

Touches the circle at one point

8.

A circle has ________number of tangents from an external point

a)

2

b)

4

c)

6

d)

Infinite

9.

Number of tangents to a circle on it's circumference

a)

1

b)

2

c)

3

d)

Infinite

10.

Two concentric circles are of radii 7 cm and r cm respectively, where r > 7. A chord of the larger circle, of length 48 cm, touches the smaller circle. Find the value of r. (2011D)

(a)

11.

In figure, PA and PB are tangents to the circle with centre O. If ∠APB = 60⁰ , then ∠OAB = ?

a)

30⁰

b)

60⁰

c)

90⁰

d)

15⁰

12.

A quadrilateral ABCD is drawn to circumscribe a circle. If AB = 12 cm, BC = 15 cm and CD = 14 cm, then AD is equal to

a)

10 cm

b)

11 cm

c)

12 cm

d)

13 cm

13.

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is ....(you need pen and paper here 😉)

a)

60 cm²

b)

65 cm²

c)

30 cm²

d)

32.5 cm²

14.

In the given figure, if TP and TQ are tangents to a circle with centre O, so that ∠POQ = 110°, then ∠PTQ is

a)

110⁰

b)

90⁰

c)

80⁰

d)

70⁰

15.

Perimeter of the triangle inscribed by a circle whose tangents are the sides of that triangle,

a)

15cm

b)

16cm

c)

18cm

d)

18m

16.

The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?

a)

2 cm

b)

3 cm

c)

4 cm

d)

5 cm

17.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

18.

Tangent and radius of a circle are

a)

Horizontal

b)

Parallel

c)

Perpendicular

d)

Equal

19.

Tangents from an external point to a circle will be

a)

Different

b)

Equal

c)

Not equal

d)

None

20.

A line intersecting a circle in two distinct points is called

a)

Tangent

b)

Secant

c)

Centre

d)

Radius

21.

Cosec 30°

a)

1/2

b)

2/√3

c)

√3/2

d)

2

22.

Tangent θ

a)

8/15

b)

15/8

c)

15/17

d)

8/17

23.

Simplify (sec²x)(1 - sin²x)

a)

-cos(x)

b)

1

c)

-1

d)

-sin(x)

24.

Simplify.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

25.

In triangle ABC, BC = 5 cm, AB =13 cm ,then cos B is

a)

5/13

b)

12/13

c)

5/12

d)

12/5

26.

$If\ 7\sin^2θ+3\cos^2θ=4\ then\tanθ=---$

a)

$\sqrt{3}$

b)

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

27.

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

a)

0

b)

1

c)

2

28.

If Sin θ = cos θ, find the value of θ

a)

45⁰

b)

60⁰

c)

90⁰

29.

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

a)

0

b)

1

c)

-1

30.

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

a)

TRUE

b)

FALSE

31.

the value of cos A is increases as angle A increases

a)

TRUE

b)

FALSE

32.

In triangle ABC, if

tanA.tanB =1 ,

then find the value of A+B

a)

60°

b)

90°

c)

30°

d)

None of the above

33.

If Cosec (A+ B) = 2/√3, sec(A-B)=2/√3

0°<A+B≤90°,

Find A and B.

a)

15° , 45°

b)

30°, 30°

c)

45°, 15°

d)

20°,40°

34.

If secθ + tanθ = x, then tanθ is:

a)

(x²-1) / 2x

b)

(x²+1) / 2x

c)

(x²-1) / x

d)

(x²+1) / x

35.

The value of the expression

sin⁶θ + cos⁶θ + 3 sin²θ cos²θ

is

a)

0

b)

1

c)

2

d)

3

36.

sin 2A = 2 sin A is true when A =

a)

30°

b)

45°

c)

0°

d)

60°

37.

$\frac{\tan x}{\sec x}$

a)

$\cos x$

b)

$\csc x$

c)

$\cot x$

d)

$\sin x\$

38.

1 - sin²x =

a)

cos²x

b)

cos²x+1

c)

csc²x

d)

tan²x

39.

tan²x + 1 =

a)

csc²x

b)

sec²x

c)

sec²x - 1

d)

cscx

40.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

41.

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze, is

a)

77 cm²

b)

77/2 cm²

c)

154 cm²

d)

77/4 cm²

42.

The minute hand of a clock is 12 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.

a)

132 cm²

b)

280 cm²

c)

284 cm²

d)

264 cm²

43.

The longest chord passing through centre and whose end point lies on circle is called .............

a)

Major chord

b)

diameter

c)

Circumference

d)

Major arc

44.

Circumference of a circle =

a)

$\pi r^2$

b)

$\pi r$

c)

$2\pi r$

d)

$\pi r+d$

45.

$\pi=$

a)

$\frac{C}{d}$

b)

$\frac{C}{2d}$

c)

$\frac{C}{r}$

d)

$\frac{A}{C}$

46.

Area of segment of a circle =

a)

Area of circle - area of sector

b)

Area of sector - area of circle

c)

Area of triangle - area of sector

d)

Area of sector - area of triangle

47.

$\pi r+2r$ is the .................

a)

area of the circle

b)

perimeter of the circle

c)

perimeter of the semicircle

d)

area of the semicircle

48.

Circles with same centre are called ................... circles.

a)

equal

b)

congruent

c)

same

d)

concentric

49.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

50.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.( Use Pi =3.14)

a)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

51.

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

a)

A) 2 Units

b)

B) 4 Units

c)

C) 3 Units

d)

D) 7 Units

52.

Angle of the sector is 90°then the ratio of Area of circle to area of sector is

a)

A) 1:4

b)

B) 1:2

c)

C) 4:1

d)

D) 2:3

53.

The region bounded by chord and corresponding arc of a circle is

a)

A) Perimeter

b)

B) Sector

c)

C) Area

d)

D) Segment

54.

The region bounded by two radii and corresponding arc of a circle is

a)

A) Segment

b)

B) Sector

c)

C) Area

d)

D) Perimeter

55.

The perimeters of the two circles are in the ratio 2 : 3. The ratio of their areas is ___

a)

4 : 9

b)

2 : 3

c)

7 : 9

d)

4 : 10

56.

What is the area of sector of a circle with central angle $60\degree$

a)

$\pi r^2$

b)

$2\pi r$

c)

$\frac{\pi r^2}{6}$

d)

$\frac{\pi r^2}{2}$

Trigonometry Quiz

Total questions: 56

Worksheet time: 47mins

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