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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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Math

2. Cos²2 θ + sin²2 θ =

-1

3. 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

27 radians

29.71 radians

4. 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

5. 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

7.5 m²

75 cm²

75 m²

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

60°

45°

15°

30°

7. 16°40ˊ38˝ =

16°

60038ˊ

17°

60038˝

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

Radian

Minute

Degree

Second

9. If r is the radius, m

2 radians

3 radians

3 seconds

3 degrees

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

Minute

Degree

Second

None of these

11. 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

12. Sin 3π/2 = ?

-1

None of these

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

III

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

(0,1)

(1,0)

(1,1)

(0,0)

15. 1 + tan ² θ/2 =

sec² 2 θ

csc² 2 θ

sec² θ

csc² θ

16. (1 – cos² Ø)(1 + cos² Ø)

-1

17. 45° =

π/4 radians

3π/2 radians

2π/3 radians

180 π radians

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

III

19.

20. If sin θ = √3/2, then θ is

None of these

45°

90°

30°

21. 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 reflex angle

1 right – angle

1 degree

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

1/θ

θ/r

r/θ

rθ

23. 1ˊ =

60°

3600˝

60˝

3600°

24. Cos [-150 π/2] = ?

-1

∞

25. 1 radian ≈

180°

57°17ˊ45˝

1°

180ˊ

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

1000 km

2000 km

2500 km

3351 km

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

2π/3

2π

π/2

π/3

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

70m²

14m²

66m²

112m²

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

Radian

Minute

Degree

Angle

30. One degree is denoted by

1°

1˝

1ˊ

1 rad

31. 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

Sexagesimal system

MKS system

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

2r : 1

2 : r

1 : 2r

33. 1° =

180 π radians

π/180 radians

1/180 radians

180/π radians

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

Minute

Second

Degree

Radian

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

2π radians

4π/9 radians

5π/4 radians

π/4 radians

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

+ve angle

None of these

Negative angle

Zero angle

37.

38.

39. 2π/3 radian is equal to

90°

120°

180°

150°

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

π/24 radians

π/12 radians

π radians

π/6 radians

41. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

cos² Ø – sin² Ø

1 + sin² Ø

All of these

42. If r is the radius, m

2 minutes

2 radians

2 seconds

2 degrees

43. cos θ =

1/cot θ

1/sin θ

1/cec θ

1/csc θ

44. One minute is denoted by

1⁰

1”

1 d

1 rad

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

Trigonometry

Mechanics

None of these

Algebra

46. 1 radian = ………………. Degree.

57°18ˊ32˝

57°17ˊ45˝

57°18ˊ48˝

57°19ˊ43˝

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

Ø ≠ nπ/2, n ϵ Z

Ø ≠ nπ/6, n ϵ Z

Ø ≠ nπ, n ϵ Z

Ø ≠ nπ/3, n ϵ Z

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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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