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

-17/15

-15/17

17/15

15/17

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

MKS system

Sexagesimal system

CGS System

Circular system

3. Cos [-150 π/2] = ?

-1

∞

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

π/24 radians

π/12 radians

π radians

π/6 radians

5. 2π/3 radian is equal to

180°

150°

90°

120°

6. 1 radian = ………………. Degree.

57°18ˊ48˝

57°19ˊ43˝

57°18ˊ32˝

57°17ˊ45˝

7. Cos²2 θ + sin²2 θ =

-1

8. 1° =

180/π radians

1/180 radians

180 π radians

π/180 radians

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

Ø ≠ nπ, n ϵ Z

Ø ≠ nπ/2, n ϵ Z

Ø ≠ nπ/6, n ϵ Z

Ø ≠ nπ/3, n ϵ Z

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

III

11. If sin θ = √3/2, then θ is

30°

45°

90°

None of these

12.

13. 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

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

+ve angle

None of these

Negative angle

Zero angle

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

None of these

Minute

Degree

Second

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

Minute

Angle

Radian

Degree

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

Degree

Radian

Minute

Second

18.

19. 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 right – angle

1 degree

1 reflex angle

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

5π/4 radians

2π radians

4π/9 radians

π/4 radians

21. 16°40ˊ38˝ =

16°

60038ˊ

17°

60038˝

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

π/3 m²

π/6 m²

1 m²

π/2 m²

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

2500 km

3351 km

1000 km

2000 km

24.

25. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

1 + sin² Ø

All of these

cos² Ø – sin² Ø

Page 2 of 2

26. One degree is denoted by

1 rad

1˝

1°

1ˊ

27. 1ˊ =

3600°

3600˝

60˝

60°

28. 1 + tan ² θ/2 =

sec² θ

csc² θ

sec² 2 θ

csc² 2 θ

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

None of these

Trigonometry

Mechanics

Algebra

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

(1,1)

(0,0)

(0,1)

(1,0)

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

Second

Radian

Minute

Degree

32. 1 radian ≈

57°17ˊ45˝

180°

1°

180ˊ

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

π/2

2π/3

π/3

2π

34. cos θ =

1/cot θ

1/cec θ

1/sin θ

1/csc θ

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

2 : r

1 : 2r

2r : 1

36. (1 – cos² Ø)(1 + cos² Ø)

-1

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

III

38. 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

7.5 cm²

75 cm²

75 m²

7.5 m²

39. If r is the radius, m

3 degrees

2 radians

3 seconds

3 radians

40. 45° =

2π/3 radians

3π/2 radians

180 π radians

π/4 radians

41. 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

60°

45°

15°

30°

42. One minute is denoted by

1⁰

1 d

1”

1 rad

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

29.71 radians

15 radians

16.92 radians

27 radians

44.

45. If r is the radius, m

2 degrees

2 seconds

2 minutes

2 radians

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

1/θ

r/θ

θ/r

rθ

47. Sin 3π/2 = ?

-1

None of these

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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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