Mathematics Solution of Trigonometric Functions Online Test

Q: How can I prepare for Mathematics Solution of Trigonometric Functions Online Test?

You can prepare for Mathematics Solution of Trigonometric Functions Online Test by attempting the free online quizzes at Gotest.com.pk. We provide instant results, performance reports, and detailed explanations for every question.

Question 1

1. The general solution of tan 3x = 1 is

Answer

nπ/3 + π/12

Answer

nπ + π/4

Answer

nπ ± π/4

Question 2

2. Sec⁻¹ (x) = ?

Answer

Cos⁻¹ x

Answer

Cos⁻¹(1/x)

Answer

None of these

Answer

(sec x)⁻¹

Question 3

3. sec (-360°) = _________

Question 4

4. If θ = 60° then

Answer

Sec θ = 4

Answer

tan θ = cot 30°

Answer

sin θ = ½

Question 5

5. The equations containing at least one trigonometric function are called.

Answer

Trigonometric equation

Answer

Algebraic equation

Answer

Trigonometric sentence

Answer

Algebraic sentence

Question 6

6. If Cos θ = 0, Then θ =

Answer

(n ± 1) π/2

Answer

(2n – 1) π/2

Answer

(2n+1) π/2

Question 7

7. Cot⁻¹ x = ?

Answer

Cos⁻¹ x

Answer

Tan⁻¹(1/x)

Answer

-Tan⁻¹ x

Answer

1/tan⁻¹x

Question 8

8.

Question 9

9. If tan A = ½ and tan B = 1/3, then the value of A+B i.e tan -1 ½ + tan -1 1/3 is

Question 10

10.

Question 11

11. The general solution of the equation 1 + cos x = 0 is

Answer

{-π/2+ 2nπ}

Answer

{-π+ 2nπ}

Answer

{π/2+ 2nπ}

Answer

{π + 2nπ}

Question 12

12. If sin A = sin β and cos A = cos β, then

Answer

A = 2n π + β, n natural number

Answer

A = 2n π + β, n is any integer

Question 13

13. If 4 sin² θ = 1, then values of θ are

Answer

nπ ± π/6

Answer

2nπ ± π/3

Answer

nπ ± π/3

Answer

2nπ ± π/6

Question 14

14. Domain of cos θ is:

Answer

Set of complex numbers

Answer

Set of real numbers

Answer

Set of integers

Answer

Set of odd numbers

Question 15

15. If sin x = ½ , then x =

Answer

π/6, 5π/6

Answer

π/3, 2π/3

Answer

- π/6, 5π/6

Answer

- π/6, -5π/6

Question 16

16. Sin⁻¹ (1) + cos⁻¹ (1) = ?

Question 17

17. cos (α - β) = cos α cos β + sin α sin β is true for all

Answer

α > β > 0

Question 18

18. If θ and Ø are the roots of the equation 8x² + 22x + 5 = 0, then

Answer

Both tan⁻¹ θ and tan⁻¹ Ø are real

Answer

Both sin⁻¹ θ and sin⁻¹ Ø are real

Answer

Both sec⁻¹ θ and sec⁻¹ Ø are real

Answer

None of these

Question 19

19. The value of θ satisfying sin 7 θ = sin 4 θ – sin θ and 0 < θ < π/2 are

Answer

π/6, π/9

Answer

π/3, π/4

Answer

π/9, π/4

Answer

π/3, π/9

Question 20

20. Trigonometric functions are ___________

Answer

Continuous

Answer

None of these

Question 21

21.

Question 22

22. Solution of the equation cot⁻¹ x + sin⁻¹ 1/√5 = π/4 is

Answer

None of these

Answer

x = 1/√5

Question 23

23. If 1 + cos x = 0 then solution set is

Answer

{π + 3nπ}

Answer

{π + 2nπ}

Question 24

24. Which one is a pair of allied angles:

Answer

(180° – θ, 180° + θ)

Answer

(180° – θ)

Answer

None of these

Answer

(180° + θ)

Question 25

25. Domain of sin θ is

Answer

Set of real numbers

Answer

Set of even numbers

Answer

Set of natural numbers

Answer

Set of complex numbers

Question 26

26. Sine is a periodic function and its period is ________

Question 27

27. The solution of sin²x = ¾ is

Answer

π/3, 2π/3

Answer

4π/3, 5π/3

Answer

None of these

Answer

-π/3, 2π/3

Question 28

28. Tan 1°tan 2°tan 3°tan 4° ….. tan 87°tan 88 tan 89° is equal to

Question 29

29. If x = tan⁻¹ (1/2), y = tan⁻¹(1/3) then x + y

Question 30

30. If sin x + cos x = 1/5, 0 ≤ x ≤ π then tan x is equal to

Answer

– 4/3 or –3/4

Answer

None of these

Question 31

31. Sin (2π – θ)

Question 32

32. 2 π + θ will have terminal side in Quad/
math

Question 33

33. cot⁻¹ xy+1/x–y + cot⁻¹ yz+1/y–z = cot⁻¹ xz+1/x–z =

Answer

None of these

Question 34

34. Area of ∆ABC =

Answer

½ ac Sin ϒ

Answer

½ ac Sin β

Answer

½ ab Sin a

Question 35

35. The number of solutions of the equation |cot x| = cot x + 1/sin x [0 ≤ x ≤ 2 π] is

Question 36

36.

Question 37

37. Solution of 1 + cosx = 0 is

Answer

None of these

Question 38

38. If (1 + tanθ)(1 + tan Ø) = 2, then θ + Ø =

Question 39

39.

Question 40

40. Trigonometric equations have solutions due to periodicity of trigonometric functions:

Answer

None of these

Answer

Finite number of

Question 41

41. cos (tan⁻¹ ∞) = ?

Question 42

42. Distance between A (3, 8), B(5, 6) is :

Question 43

43. Tan 75° - cos 75° is equal to

Question 44

44. Solution set of 2cos θ + √3 = 0 is

Answer

None of these

Question 45

45. The range of the function cos 1/3 x is

Answer

[- 1/3, 1/3]

Answer

None of these

Question 46

46. If sin x + cos x = 0, then x =

Answer

–π/4, – π/2

Answer

–π/4, 3π/4

Answer

π/4, – π/4

Answer

None of these

Question 47

47. The equation 2 cos² (x/2) sin²x = x² + 1/x² 0 ≤ x ≤ π/2 has

Answer

No solution

Answer

None of these

Answer

One real solution

Answer

More than one real solution

Question 48

48. cos x = ½ has a solution

Question 49

49. tan (-135°) = ________ 0

Question 50

50. If sin⁻¹ᵃ + sin⁻¹ β 9 sin⁻¹ ϒ = 3π/2 then aβ + aϒ + βϒ is equal to

Question 51

51. If you are looking a high point from the ground, then the angle formed is

Answer

Angle of depression

Answer

Right angle

Answer

Angle of elevation

Question 52

52. If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is:

Answer

12, 15, 18

Question 53

53. If x = tan⁻¹ 1/7 and y = tan⁻¹ 1/3, then

Answer

Cos 4y = cos 2 x

Answer

Cos 2x = sin 4y

Answer

Cos 3 y = sin 4x

Answer

None of these

Question 54

54. The number of points of intersection of the two curves y = 2 sin x and y = 5x² + 2x + 3 is

Question 55

55. Solution of the equation sec θ – cosec θ = 4/3 is

Answer

None of these

Answer

θ = n π + (– 1)ⁿ sin⁻¹ 3/4

Answer

θ = n π ± sin⁻¹ (3/4)

Answer

θ = nx/2 + (– 1)ⁿ/2 sin⁻¹ 3/4

Question 56

56. Sec x = tan x is a

Answer

Algebraic equation

Answer

Trigonometric equation

Question 57

57. Cosec⁻¹ x + sec⁻¹ x

Question 58

58. Tangent is a periodic function and its period is __________

Question 59

59. The solve a trigonometric equation, firstly we find the solution over the interval which is

Answer

None of these

Question 60

60. Tan 3x tan 2x – tan x is equal to:

Answer

Tan x tan 2x tan 3x

Answer

None of these

Answer

Tan x tan 2x – tan x tan 3x – tan 2x tan 3x

Answer

-tan x tan 2x tan 3x

Question 61

61. The value of cos 15° -sin 15° is

Question 62

62. The period of tan (x/3) is __________

Question 63

63. tan⁻¹ x > cot⁻¹ x holds for

Answer

All values of x

Question 64

64. If sin A = sin B, cos A = cos B, then the value of A in terms of B is

Answer

nπ + (-1)ⁿ B

Answer

2nπ – B

Answer 109

None of these

Answer 110

None of these

Answer 111

No particular sequence

Answer 112

Multiplying

Answer 113

Square root

Total Questions:	70
Time Allowed:	40 Minutes
Total Marks:	70
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

Mathematics Solution of Trigonometric Functions Online Test

Important Math Solution of Trigonometric Functions Question and Answer

Math Solution of Trigonometric Functions Practice Test Online With Explanation

How to Score High in Mathematics Solution of Trigonometric Functions Online Test?

Key Preparation Tips:

More Related Resources

Maan Ali

Leave a Reply Cancel reply

Important Math Solution of Trigonometric Functions Question and Answer

Math Solution of Trigonometric Functions Practice Test Online With Explanation

How to Score High in Mathematics Solution of Trigonometric Functions Online Test?

Key Preparation Tips:

More Related Resources

Latest Updates

Maan Ali

Leave a Reply Cancel reply