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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. Cos [-150 π/2] = ?

-1

∞

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

Degree

Radian

Minute

Angle

3. 1 radian ≈

180ˊ

1°

180°

57°17ˊ45˝

4. 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 degree

1 radian

1 reflex angle

1 right – angle

5. 1 + tan ² θ/2 =

sec² θ

sec² 2 θ

csc² θ

csc² 2 θ

6. 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°

45°

60°

30°

7. If sin θ = √3/2, then θ is

None of these

45°

90°

30°

9. 2π/3 radian is equal to

150°

120°

180°

90°

10. One degree is denoted by

1ˊ

1°

1 rad

1˝

11. Sin 3π/2 = ?

None of these

-1

12. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

cos² Ø – sin² Ø

1 + sin² Ø

All of these

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

θ/r

r/θ

1/θ

rθ

14. 1ˊ =

60°

3600˝

3600°

60˝

15. 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

29.71 radians

27 radians

15 radians

16.

17. Cos²2 θ + sin²2 θ =

-1

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

CGS System

Circular system

Sexagesimal system

MKS system

19. 16°40ˊ38˝ =

16°

60038˝

17°

60038ˊ

20. (1 – cos² Ø)(1 + cos² Ø)

-1

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

4π/9 radians

2π radians

5π/4 radians

π/4 radians

22. 1 radian = ………………. Degree.

57°18ˊ48˝

57°18ˊ32˝

57°19ˊ43˝

57°17ˊ45˝

23. If r is the radius, m

3 radians

3 seconds

2 radians

3 degrees

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

2 : r

1 : 2r

2r : 1

2 : r

25.

Page 2 of 2

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

III

27. 1° =

180 π radians

180/π radians

π/180 radians

1/180 radians

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

+ve angle

Negative angle

None of these

Zero angle

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

π/6 radians

π radians

π/24 radians

π/12 radians

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

π/3

π/2

2π

2π/3

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

112m²

66m²

70m²

14m²

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

Ø ≠ nπ/2, n ϵ Z

Ø ≠ nπ/3, n ϵ Z

Ø ≠ nπ, n ϵ Z

Ø ≠ nπ/6, n ϵ Z

33. cos θ =

1/sin θ

1/cot θ

1/csc θ

1/cec θ

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

-15/17

-17/15

17/15

15/17

35. 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 m²

75 cm²

75 m²

7.5 cm²

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

None of these

Algebra

Mechanics

Trigonometry

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

None of these

Degree

Second

Minute

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

(0,1)

(1,1)

(1,0)

(0,0)

39. One minute is denoted by

1 rad

1⁰

1 d

1”

40. 45° =

3π/2 radians

π/4 radians

180 π radians

2π/3 radians

41. 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/3 m²

π/2 m²

1 m²

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

Radian

Second

Degree

Minute

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

2000 km

1000 km

3351 km

2500 km

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

Minute

Radian

Degree

Second

45. If r is the radius, m

2 degrees

2 seconds

2 minutes

2 radians

46.

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

III

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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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