Mathematics Fundamentals of Trigonometry Online Test

Maan AliLast Updated: October 15, 2025

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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Page 1 of 2

Math

1. (1 – cos² Ø)(1 + cos² Ø)

-1

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

Angle

Radian

Degree

Minute

3. 16°40ˊ38˝ =

17°

60038ˊ

16°

60038˝

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

+ve angle

Zero angle

None of these

Negative angle

5. 1° =

180/π radians

180 π radians

1/180 radians

π/180 radians

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

17/15

-17/15

-15/17

15/17

7. One minute is denoted by

1”

1 d

1⁰

1 rad

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

Ø ≠ nπ, n ϵ Z

Ø ≠ nπ/3, n ϵ Z

Ø ≠ nπ/6, n ϵ Z

Ø ≠ nπ/2, n ϵ Z

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

CGS System

Sexagesimal system

Circular system

MKS system

10. 45° =

180 π radians

π/4 radians

2π/3 radians

3π/2 radians

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

1 m²

π/6 m²

π/3 m²

π/2 m²

12. 1 + tan ² θ/2 =

csc² 2 θ

sec² 2 θ

csc² θ

sec² θ

13. Sin 3π/2 = ?

None of these

-1

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

III

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

5π/4 radians

4π/9 radians

2π radians

π/4 radians

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

Second

None of these

Degree

Minute

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

(0,0)

(1,0)

(0,1)

(1,1)

18. 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

rθ

θ/r

19. $Math 9. 03$

20. If r is the radius, m

2 radians

3 radians

3 degrees

3 seconds

21. $Math 9. 01$

22. 2π/3 radian is equal to

90°

120°

150°

180°

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

112m²

14m²

66m²

70m²

24. If sin θ = √3/2, then θ is

30°

90°

45°

None of these

25. $Math 9. 02$

Page 2 of 2

26. 1ˊ =

3600˝

60˝

3600°

60°

27. $Math 9. 04$

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

π radians

π/6 radians

π/24 radians

π/12 radians

29. cos θ =

1/cec θ

1/sin θ

1/csc θ

1/cot θ

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

2 : r

1 : 2r

2r : 1

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

27 radians

15 radians

16.92 radians

29.71 radians

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

Second

Minute

Degree

Radian

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 cm²

7.5 cm²

7.5 m²

75 m²

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

Radian

Degree

Second

Minute

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

3351 km

2000 km

1000 km

2500 km

36. 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 right – angle

1 degree

1 reflex angle

1 radian

37. Cos²2 θ + sin²2 θ =

-1

38. Cos [-150 π/2] = ?

-1

∞

39. 1 radian ≈

1°

180ˊ

180°

57°17ˊ45˝

40. 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

30°

15°

45°

60°

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

III

42. If r is the radius, m

2 degrees

2 seconds

2 radians

2 minutes

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

2π

2π/3

π/3

π/2

44. 1 radian = ………………. Degree.

57°18ˊ32˝

57°18ˊ48˝

57°17ˊ45˝

57°19ˊ43˝

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

Trigonometry

Algebra

Mechanics

None of these

46. (cos² Ø – 1)(sin ² Ø + 1) = ?

1 – sin² Ø

1 + sin² Ø

All of these

cos² Ø – sin² Ø

47. One degree is denoted by

1ˊ

1°

1˝

1 rad

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Maan AliLast Updated: October 15, 2025

Mathematics Fundamentals of Trigonometry Online Test

Important Math Fundamentals of Trigonometry Question and Answer

Math Fundamentals of Trigonometry Practice Test Online With Explanation

Math

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