Mathematics Trigonometric Functions and Their Graphs Online Test

Maan AliLast Updated: October 15, 2025

Important Math Trigonometric Functions and Their Graphs Question and Answer

Total Questions:	45
Time Allowed:	20 Minutes
Total Marks:	45
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

Math Trigonometric Functions and Their Graphs Practice Test Online With Explanation

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Page 1 of 2

1. The period of sec x is

4 π

3 π

2 π

2. If, for all x in the domain of f, there exists a smallest positive number p such that f (x + p) = f(x), then p is the

Period of f(2x)

Period of f(x)

Period of f(3x)

Period of f(4x)

3. The period of csc x/3 is

3 π

6 π

2 π

4. A circle whose radius is one known as

A zero circle

None of these

A point circle

A unit circle

5. Period of 2sinx is

π/2

2 π

4 π

6. The period of tan x is

2 π/3

π/2

π/3

7. The domain and range of trigonometric function can be checked by its

None of these

Graph

Period

Solution

8. The period of 15 csc x/5 is

10 π

2 π

15π

5 π

9. The graph of y = cos x discontinuous at x = ?

None of these

180°

90°

270°

10. The range of cosec x does not include

[0, 1]

[-1, 0]

[-1, 1]

11. The domain of cot x is

R – {x/x = x π, n ϵ Z}

None of these

12. The domain of sec x is

None of these

R – {– 1, 1}

13. The range of cos x is

[– 1, 1]

R – {x|– 1 < x < 1}

None of these

14. A diagram showing a relationship between two variables is called

Graph

Range

Domain

Period

15. If sin x = x then value of x in radians = ?

π/3

π/2

π/4

16. Amplitude of -17 sin 14 x = ?

-14

-17

17. The domain of sec x is

R – {x/x = π, n ϵ Z}

R – {x/x = (2n + 1)π/2, n ϵ Z}

[-1,1]

18. Two trigonometric functions are drawn taking same scale from – π to π

Cos x and sin x

Sin x and csc x

Cos x and –sin x

-cos x and sin x

19. f(x) = cosecx is undefined when

x ≠ 0

x = n π

None of these

x = (2n + 1) π/2, n ϵ Z

20. The period of cos 1/2x is

3π

4 π

2 π

21. The period of sec 3x is

π/2

2x/3

π/3

22. The range of 2cos 3x is

[–1/3, 1/3]

[x = n π]

[–2, 2]

[– 1, 1]

23. The value of Tam (2 π – φ) is

Tan φ

Cot φ

-Cot φ

-Tan φ

24. The range of cot x is

[–1, 1]

R – {x|-1 < x < 1}

< x <

25. The Range of 5 sin 2 z is

[– 5/2, 5/2]

[– 5, 5]

[– 2, 2]

[– 1, 1]

Page 2 of 2

26. The period of sec 2x is

π/3

2π/3

π/2

27. The period of cot x/3 is

6π

3π

2π

28. If sinx = cosx, then value of x in radian

π/6

π/3

π/4

π/2

29. The period of tan 2x is

π/3

2π/3

π/2

30. The domain of tan x is

[– 1]

R – {x/x = (2n + 1)π/2, n Z}

R – {x/x = (2n + 1)π/2, n ϵ Z}

31. The domain of tan 2x is

R – {x/x = (2k + 1)π/4, K ϵ Z}

R – {x/x =k. π/2, K ϵ Z}

32. The range of y = sinx is

[ –2, 2]

[– 1, 1]

[–1, 0]

None of these

33. Range of 3 cot x/7 = ?

None of these

-7 ≤ y ≤ 7

Real no

-3 ≤ y ≤ 3

34. The range of 4 cot 2 x is

None of these

R – [–1, 1]

[–4, 4]

35. The domain of sin x is

{– 1, 1}

R – {0}

R – {1}

36. The period of sin x/2 is

2π

None of these

4π

37. The period of 3 sin x/3 is

6 π

3 π

2 π

38. The period of 3 sin 3x is

π/2

2π/3

π/3

39. Two trigonometric function are drawn taking same scale from – π to π

– cos x and sin x

Cos x and sin x

Sin x and csc x

Cos x and sec x

40. The graph of y = cosec x is discontinuous at x =

180°

None of these

270°

90°

41. The period of cot 2/3x is

3 π

2/3 π

3/2 π

42. The graph of function y = sin x is discontinuous at x = ?

None of these

0°

180°

90°

43. If P is period of sin φ then sin (φ - ∆ p _ is

Sin φ + sin P

Sin φ

Sin p

None of these

44. Two trigonometric functions are drawn taking same scale from –π to π in the following graph, it represents

Cos x and sec x

- cos x and sin x

Cos x and sin x

Sin x and csc x

45. A smallest +ve integer P for which f(φ + P) = f(φ) is called

Period of f(φ)

Domain of f(φ)

None of these

Range of f(φ)

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Maan AliLast Updated: October 15, 2025

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Important Math Trigonometric Functions and Their Graphs Question and Answer

Math Trigonometric Functions and Their Graphs Practice Test Online With Explanation

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