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ECAT Mathematics Fundamentals of Trigonometry Online Test

Maan AliLast Updated: April 18, 2025

ECAT Math Fundamentals of Trigonometry

ECAT Math Fundamentals of Trigonometry Chapter Online Test

Total Questions:	47
Time Allowed:	20 Minutes
Total Marks:	47
How to Attempt Test:	Please choose the right Option in MCQ-type question.
Test Helpful For:	ECAT Entry Test Mathematics Online Test Interview Questions about Mathematics All Universities Entrance Test Recruitments Tests

Page 1 of 2

Math

1. If r is the radius, m

2 radians

3 radians

3 seconds

3 degrees

3. (1 – cos² Ø)(1 + cos² Ø)

-1

4. Cos [-150 π/2] = ?

-1

∞

5. Two cities whose longitudes are 10°E and 20°W on the equator are apart

3351 km

1000 km

2000 km

2500 km

6. The branch of mathematical which deals with the measurement of triangle is known as

Trigonometry

None of these

Mechanics

Algebra

7. The area of a sector with a central angle of 0.5 radians in a circular region whose radius is 2m is

1 m²

π/6 m²

π/3 m²

π/2 m²

8. IN 30 minutes, the hours hand of a clock turns through

π/24 radians

π/12 radians

π/6 radians

π radians

9. 1° =

180 π radians

π/180 radians

180/π radians

1/180 radians

10. Cos²2 θ + sin²2 θ =

-1

11. 1ˊ =

3600°

60˝

3600˝

60°

12. 1 radian = ………………. Degree.

57°18ˊ48˝

57°17ˊ45˝

57°18ˊ32˝

57°19ˊ43˝

13. The ration b/w the area of sector to length of are of a circle is

2r : 1

2 : r

1 : 2r

2 : r

14. If an arc of length l of circle of radius r subtends an angle θ radian at the center, then l =

θ/r

rθ

r/θ

1/θ

15. If cos θ > 0 and sin θ < 0, then terminal arc of the angle lies in quadrant

III

16. If r is the radius, m

2 minutes

2 degrees

2 radians

2 seconds

17. cos θ =

1/cot θ

1/sin θ

1/cec θ

1/csc θ

18. One degree is denoted by

1ˊ

1 rad

1°

1˝

19. The vertex of an angle is standard from is at

(0,1)

(1,1)

(1,0)

(0,0)

20. The central angle of an arc of a circle whose length is equal to the radius of the circle is called the

Radian

Second

Minute

Degree

21. In one hour, the minutes hand of a clock turns through

5π/4 radians

4π/9 radians

2π radians

π/4 radians

22. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 + sin² Ø

All of these

1 – sin² Ø

cos² Ø – sin² Ø

23. The system of measurement in which the angle is measured in degrees, and its sub – units, minutes and seconds is called the

MKS system

CGS System

Sexagesimal system

Circular system

24.

25. One minute is denoted by

1 rad

1”

1 d

1⁰

Page 2 of 2

26. The radian measure of the angle at center of a circle of radius 8cm which cuts of an arc 216cm long is

15 radians

27 radians

16.92 radians

29.71 radians

27. 45° =

3π/2 radians

π/4 radians

180 π radians

2π/3 radians

28. 2π/3 radian is equal to

180°

120°

90°

150°

29. A circular wire of radius 3cm is cut straightened and then bent so as to lie along the circumference of a hoop of radius 24cm. The measure of the angle subtended at the center of the hop is

30°

15°

45°

60°

30. If Sec² Ø + cosec² Ø = sec² Ø cosec² Ø, then state the domain

Ø ≠ nπ/6, n ϵ Z

Ø ≠ nπ/3, n ϵ Z

Ø ≠ nπ, n ϵ Z

Ø ≠ nπ/2, n ϵ Z

31. The union of two non – collinear rays which have a common endpoint is called the

Angle

Degree

Minute

Radian

32. An arc AB of length 5cm is marked on a circle of radius 3 cm. The area of the sector bounded by this arc and the radii from A and B is

75 m²

7.5 m²

75 cm²

7.5 cm²

33.

34. If reaction of a line is clockwise direction then angle will be

+ve angle

None of these

Negative angle

Zero angle

35. Through how many radian does the minute hand of a clock turn in 20 minutes

π/2

2π

π/3

2π/3

36. The area of a sector with a central angle of 3.5 radians in a circular region whose radius 8m is

14m²

112m²

66m²

70m²

37. 1 radian ≈

57°17ˊ45˝

1°

180ˊ

180°

38. 16°40ˊ38˝ =

16°

17°

60038ˊ

60038˝

39. If sin Ø <0 and tan Ø > 0 then terminal side line which quadrant

III

40. Sin 3π/2 = ?

None of these

-1

41. If sin θ = √3/2, then θ is

90°

45°

30°

None of these

42.

43. The 3600th part of the degree is called __________

Minute

Degree

None of these

Second

44. If cot Ø = 15/8, find the value of cos Ø where Ø is not in the first quadrant

17/15

15/17

-15/17

-17/15

45. 1 + tan ² θ/2 =

sec² 2 θ

sec² θ

csc² θ

csc² 2 θ

46. The 60th part of one minute is called one

Second

Degree

Minute

Radian

47. Measure of the central angle of an arc of a circle whose length is equal to the radius of the circle is known as

1 radian

1 degree

1 reflex angle

1 right – angle

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Maan AliLast Updated: April 18, 2025

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ECAT Mathematics Fundamentals of Trigonometry Online Test

ECAT Math Fundamentals of Trigonometry

ECAT Math Fundamentals of Trigonometry Chapter Online Test

Math

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ECAT Math Fundamentals of Trigonometry

ECAT Math Fundamentals of Trigonometry Chapter Online Test

Math

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