Mathematics Trigonometric Functions and Their Graphs Online Test

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Question 1

1. The domain of tan 2x is

Answer

R – {x/x =k. π/2, K ϵ Z}

Answer

R – {x/x = (2k + 1)π/4, K ϵ Z}

Question 2

2. The domain of sec x is

Answer

None of these

Answer

R – {– 1, 1}

Question 3

3. The period of 3 sin 3x is

Question 4

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

Answer

Cos x and sin x

Answer

Cos x and –sin x

Answer

Sin x and csc x

Answer

-cos x and sin x

Question 5

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

Answer

None of these

Answer

Sin φ + sin P

Question 6

6. The period of 3 sin x/3 is

Question 7

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

Answer

None of these

Question 8

8. The period of sin x/2 is

Answer

None of these

Question 9

9. Period of 2sinx is

Question 10

10. A circle whose radius is one known as

Answer

A point circle

Answer

A unit circle

Answer

None of these

Answer

A zero circle

Question 11

11. The period of cot x/3 is

Question 12

12. The domain of tan x is

Answer

R – {x/x = (2n + 1)π/2, n ϵ Z}

Answer

R – {x/x = (2n + 1)π/2, n Z}

Question 13

13. The period of sec x is

Question 14

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

Question 15

15. 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

Answer

Period of f(x)

Answer

Period of f(2x)

Answer

Period of f(3x)

Answer

Period of f(4x)

Question 16

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

Answer

None of these

Question 17

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

Answer

Cos x and sin x

Answer

- cos x and sin x

Answer

Cos x and sec x

Answer

Sin x and csc x

Question 18

18. The period of cot 2/3x is

Question 19

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

Answer

Domain of f(φ)

Answer

Range of f(φ)

Answer

Period of f(φ)

Answer

None of these

Question 20

20. The period of sec 3x is

Question 21

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

Answer

Cos x and sec x

Answer

Sin x and csc x

Answer

Cos x and sin x

Answer

– cos x and sin x

Question 22

22. The period of cos 1/2x is

Question 23

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

Answer

None of these

Question 24

24. The period of tan 2x is

Question 25

25. f(x) = cosecx is undefined when

Answer

x = (2n + 1) π/2, n ϵ Z

Answer

None of these

Question 26

26. The range of cos x is

Answer

None of these

Answer

R – {x|– 1 < x < 1}

Answer

[– 1, 1]

Question 27

27. Amplitude of -17 sin 14 x = ?

Question 28

28. The period of csc x/3 is

Question 29

29. The domain of sec x is

Answer

R – {x/x = (2n + 1)π/2, n ϵ Z}

Answer

R – {x/x = π, n ϵ Z}

Question 30

30. The period of tan x is

Question 31

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

Question 32

32. The value of Tam (2 π – φ) is

Question 33

33. The range of cosec x does not include

Question 34

34. The range of 2cos 3x is

Answer

[x = n π]

Answer

[– 1, 1]

Answer

[–1/3, 1/3]

Question 35

35. The Range of 5 sin 2 z is

Answer

[– 5, 5]

Answer

[– 2, 2]

Answer

[– 5/2, 5/2]

Answer

[– 1, 1]

Question 36

36. The period of sec 2x is

Question 37

37. The period of 15 csc x/5 is

Question 38

38. The domain of cot x is

Answer

None of these

Answer

R – {x/x = x π, n ϵ Z}

Question 39

39. The range of cot x is

Answer

R – {x|-1 < x < 1}

Question 40

40. The range of y = sinx is

Answer

[ –2, 2]

Answer

None of these

Answer

[– 1, 1]

Question 41

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

Answer

None of these

Question 42

42. The range of 4 cot 2 x is

Answer

None of these

Answer

R – [–1, 1]

Question 43

43. The domain of sin x is

Answer

{– 1, 1}

Question 44

44. Range of 3 cot x/7 = ?

Answer

None of these

Answer

-7 ≤ y ≤ 7

Answer

-3 ≤ y ≤ 3

Question 45

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

Question 46

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Total Questions:	45
Time Allowed:	20 Minutes
Total Marks:	45
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Important Math Trigonometric Functions and Their Graphs Question and Answer

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