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Mathematics Fundamentals of Trigonometry Online Test

Maan AliLast Updated: October 15, 2025

Start your preparation for Mathematics Fundamentals of Trigonometry Online Test. This online test contains important MCQs from past papers. Attempting this test will help you prepare for Annual Exams and Entry Tests. Read the questions carefully and select the correct option below to see your result.

Important Math Fundamentals of Trigonometry Question and Answer

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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Math Fundamentals of Trigonometry Practice Test Online With Explanation

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Page 1 of 2

Math

1. Sin 3π/2 = ?

None of these

-1

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

Radian

Second

Minute

Degree

4. 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

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

14m²

66m²

70m²

112m²

6. 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

7. 1 + tan ² θ/2 =

csc² 2 θ

csc² θ

sec² θ

sec² 2 θ

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

π radians

π/12 radians

π/6 radians

π/24 radians

9. (1 – cos² Ø)(1 + cos² Ø)

-1

10. cos θ =

1/sin θ

1/cot θ

1/csc θ

1/cec θ

11. If r is the radius, m

3 seconds

2 radians

3 degrees

3 radians

12. 16°40ˊ38˝ =

17°

60038ˊ

16°

60038˝

13. One minute is denoted by

1 d

1”

1⁰

1 rad

14.

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

1/θ

rθ

r/θ

θ/r

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

1000 km

2500 km

3351 km

2000 km

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

Second

None of these

Minute

Degree

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

2π/3

2π

π/3

π/2

19.

20. 2π/3 radian is equal to

180°

90°

150°

120°

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

1 : 2r

2r : 1

2 : r

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

Degree

Radian

Minute

Angle

23. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 + sin² Ø

cos² Ø – sin² Ø

All of these

1 – sin² Ø

24. 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°

15°

45°

30°

25. 1 radian = ………………. Degree.

57°18ˊ48˝

57°19ˊ43˝

57°17ˊ45˝

57°18ˊ32˝

Page 2 of 2

26. 1 radian ≈

180ˊ

57°17ˊ45˝

1°

180°

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

2π radians

4π/9 radians

π/4 radians

5π/4 radians

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

(1,1)

(0,1)

(0,0)

(1,0)

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

III

30. 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

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

III

32. 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

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

None of these

Negative angle

+ve angle

Zero angle

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

Degree

Second

Minute

Radian

35. 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 right – angle

1 reflex angle

36. 1° =

180 π radians

π/180 radians

180/π radians

1/180 radians

37. Cos²2 θ + sin²2 θ =

-1

38. Cos [-150 π/2] = ?

-1

∞

39. 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

16.92 radians

27 radians

15 radians

40.

41. 1ˊ =

60°

60˝

3600°

3600˝

42. If r is the radius, m

2 minutes

2 seconds

2 radians

2 degrees

43. 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

π/3 m²

1 m²

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

Mechanics

Trigonometry

None of these

Algebra

45. One degree is denoted by

1ˊ

1°

1 rad

1˝

46. 45° =

3π/2 radians

2π/3 radians

π/4 radians

180 π radians

47. If sin θ = √3/2, then θ is

None of these

30°

90°

45°

How to Score High in Mathematics Fundamentals of Trigonometry Online Test?

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Important Math Fundamentals of Trigonometry Question and Answer

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