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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.
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Page 1 of 2

Math

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

2000 km

2500 km

1000 km

3351 km

3. 1 radian = ………………. Degree.

57°18ˊ32˝

57°18ˊ48˝

57°17ˊ45˝

57°19ˊ43˝

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

π/2 m²

π/3 m²

π/6 m²

1 m²

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

Minute

Degree

Radian

Second

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

Circular system

CGS System

MKS system

Sexagesimal system

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

(0,1)

(0,0)

(1,0)

(1,1)

9. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

1 + sin² Ø

cos² Ø – sin² Ø

All of these

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

+ve angle

Negative angle

None of these

Zero angle

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

66m²

70m²

14m²

112m²

12.

13. Sin 3π/2 = ?

-1

None of these

14.

15. 16°40ˊ38˝ =

17°

16°

60038ˊ

60038˝

16. cos θ =

1/csc θ

1/cot θ

1/cec θ

1/sin θ

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

Second

None of these

Degree

Minute

18. Cos [-150 π/2] = ?

-1

∞

19. 2π/3 radian is equal to

120°

180°

150°

90°

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

III

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

2 : r

2r : 1

2 : r

1 : 2r

22. 1 + tan ² θ/2 =

sec² 2 θ

sec² θ

csc² θ

csc² 2 θ

23. 1 radian ≈

180°

1°

57°17ˊ45˝

180ˊ

24. 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 cm²

7.5 m²

7.5 cm²

75 m²

25. Cos²2 θ + sin²2 θ =

-1

Page 2 of 2

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

Angle

Radian

Degree

Minute

27. 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

28. 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

15°

60°

30°

45°

29. 45° =

π/4 radians

180 π radians

3π/2 radians

2π/3 radians

30. One degree is denoted by

1°

1ˊ

1 rad

1˝

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

15/17

17/15

-15/17

-17/15

32. If r is the radius, m

2 degrees

2 minutes

2 seconds

2 radians

33. If r is the radius, m

3 radians

3 seconds

2 radians

3 degrees

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

r/θ

1/θ

rθ

θ/r

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

π/3

π/2

2π

2π/3

36. If sin θ = √3/2, then θ is

90°

30°

None of these

45°

37. One minute is denoted by

1 rad

1”

1⁰

1 d

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

15 radians

29.71 radians

27 radians

16.92 radians

39. 1° =

180/π radians

1/180 radians

π/180 radians

180 π radians

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

Minute

Second

Radian

Degree

41. 1ˊ =

3600˝

60°

60˝

3600°

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

III

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

π/6 radians

π/24 radians

π radians

π/12 radians

44. 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 right – angle

1 radian

1 reflex angle

1 degree

45. (1 – cos² Ø)(1 + cos² Ø)

-1

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

Mechanics

Algebra

Trigonometry

None of these

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

2π radians

4π/9 radians

5π/4 radians

π/4 radians

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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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Maan Ali

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ECAT Math Fundamentals of Trigonometry

ECAT Math Fundamentals of Trigonometry Chapter Online Test

Math

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Maan Ali

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