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ECAT Mathematics Trigonometric Functions and Their Graphs Online Test

Maan AliLast Updated: April 18, 2025

ECAT Math Trigonometric Functions and Their Graphs

ECAT Math Trigonometric Functions and Their Graphs Chapter Online Test

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

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Page 1 of 2

1. 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}

2. The period of 3 sin x/3 is

2 π

3 π

6 π

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

None of these

180°

90°

270°

4. The domain of sec x is

R – {x/x = π, n ϵ Z}

[-1,1]

R – {x/x = (2n + 1)π/2, n ϵ Z}

5. The value of Tam (2 π – φ) is

-Cot φ

-Tan φ

Tan φ

Cot φ

6. Amplitude of -17 sin 14 x = ?

-14

-17

7. The range of cot x is

< x <

R – {x|-1 < x < 1}

[–1, 1]

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

180°

90°

None of these

270°

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

Sin φ

Sin p

Sin φ + sin P

None of these

10. 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(x)

Period of f(4x)

Period of f(2x)

Period of f(3x)

11. The domain of cot x is

R – {x/x = x π, n ϵ Z}

None of these

12. The domain of sin x is

R – {0}

R – {1}

{– 1, 1}

13. Range of 3 cot x/7 = ?

None of these

-7 ≤ y ≤ 7

Real no

-3 ≤ y ≤ 3

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

Cos x and sin x

Sin x and csc x

- cos x and sin x

Cos x and sec x

15. Period of 2sinx is

π/2

2 π

4 π

16. The domain of tan 2x is

R – {x/x =k. π/2, K ϵ Z}

R – {x/x = (2k + 1)π/4, K ϵ Z}

17. f(x) = cosecx is undefined when

x = (2n + 1) π/2, n ϵ Z

x = n π

None of these

x ≠ 0

18. The domain of sec x is

None of these

R – {– 1, 1}

19. The range of 4 cot 2 x is

None of these

[–4, 4]

R – [–1, 1]

20. The period of sec 2x is

π/2

π/3

2π/3

21. The period of sin x/2 is

None of these

2π

4π

22. The period of cot 2/3x is

2/3 π

3 π

3/2 π

23. The range of 2cos 3x is

[x = n π]

[–1/3, 1/3]

[– 1, 1]

[–2, 2]

24. The range of cosec x does not include

[-1, 1]

[0, 1]

[-1, 0]

[0, 1]

25. A circle whose radius is one known as

None of these

A unit circle

A zero circle

A point circle

Page 2 of 2

26. The period of 15 csc x/5 is

5 π

15π

2 π

10 π

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

π/2

π/3

π/4

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

π/3

π/6

π/2

π/4

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

Graph

Domain

Range

Period

30. The period of cos 1/2x is

3π

4 π

2 π

31. The Range of 5 sin 2 z is

[– 5/2, 5/2]

[– 1, 1]

[– 2, 2]

[– 5, 5]

32. The range of cos x is

[– 1, 1]

R – {x|– 1 < x < 1}

None of these

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

None of these

90°

180°

0°

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

Cos x and sec x

Cos x and sin x

– cos x and sin x

Sin x and csc x

35. The period of tan x is

π/2

2 π/3

π/3

36. The period of cot x/3 is

6π

3π

2π

37. The period of 3 sin 3x is

π/3

π/2

2π/3

38. The period of sec 3x is

π/3

π/2

2x/3

39. The period of tan 2x is

2π/3

π/2

π/3

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

None of these

Range of f(φ)

Domain of f(φ)

Period of f(φ)

41. The range of y = sinx is

[ –2, 2]

[– 1, 1]

None of these

[–1, 0]

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

None of these

Graph

Solution

Period

43. 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

44. The period of sec x is

3 π

4 π

2 π

45. The period of csc x/3 is

3 π

2 π

6 π

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Maan AliLast Updated: April 18, 2025

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ECAT Mathematics Trigonometric Functions and Their Graphs Online Test

ECAT Math Trigonometric Functions and Their Graphs

ECAT Math Trigonometric Functions and Their Graphs Chapter Online Test

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