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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

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Page 1 of 2

Math

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

Minute

Degree

Radian

Second

2. Sin 3π/2 = ?

None of these

-1

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

III

4. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

cos² Ø – sin² Ø

All of these

1 + sin² Ø

5. If r is the radius, m

2 degrees

2 seconds

2 radians

2 minutes

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

Second

Radian

Minute

Degree

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

2000 km

3351 km

2500 km

1000 km

9. Cos [-150 π/2] = ?

-1

∞

10. 16°40ˊ38˝ =

60038ˊ

60038˝

16°

17°

11. One degree is denoted by

1˝

1°

1 rad

1ˊ

12. cos θ =

1/cot θ

1/sin θ

1/cec θ

1/csc θ

13. 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°

30°

15°

45°

14. 1ˊ =

60°

3600˝

60˝

3600°

15. 45° =

3π/2 radians

180 π radians

2π/3 radians

π/4 radians

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

π/2

π/3

2π

2π/3

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

π/6 m²

π/2 m²

1 m²

π/3 m²

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

Degree

None of these

Minute

Second

19. Cos²2 θ + sin²2 θ =

-1

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

66m²

112m²

14m²

70m²

21. 1 radian = ………………. Degree.

57°18ˊ32˝

57°19ˊ43˝

57°17ˊ45˝

57°18ˊ48˝

22. 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/2, n ϵ Z

Ø ≠ nπ, n ϵ Z

23. If r is the radius, m

2 radians

3 radians

3 degrees

3 seconds

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

(0,0)

(1,1)

(1,0)

(0,1)

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

III

Page 2 of 2

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

Minute

Angle

Degree

Radian

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

Algebra

Mechanics

Trigonometry

None of these

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

16.92 radians

15 radians

29.71 radians

27 radians

29. 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

Circular system

CGS System

30.

31. 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 right – angle

1 reflex angle

32. One minute is denoted by

1 d

1 rad

1⁰

1”

33. 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

75 cm²

7.5 cm²

7.5 m²

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

π radians

π/6 radians

π/24 radians

π/12 radians

35. 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

36.

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

5π/4 radians

4π/9 radians

π/4 radians

2π radians

38.

39. (1 – cos² Ø)(1 + cos² Ø)

-1

40. 2π/3 radian is equal to

90°

180°

120°

150°

41. 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

42. If sin θ = √3/2, then θ is

45°

90°

30°

None of these

43. 1 + tan ² θ/2 =

sec² θ

sec² 2 θ

csc² θ

csc² 2 θ

44. 1 radian ≈

180°

1°

57°17ˊ45˝

180ˊ

45. 1° =

180 π radians

180/π radians

π/180 radians

1/180 radians

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

2 : r

1 : 2r

2r : 1

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

+ve angle

Zero angle

None of these

Negative 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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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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