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. Sec⁻¹ (x) = ?

Answer

Cos⁻¹(1/x)

Answer

(sec x)⁻¹

Answer

Cos⁻¹ x

Answer

None of these

Question 2

2. The solution of sin²x = ¾ is

Answer

π/3, 2π/3

Answer

None of these

Answer

4π/3, 5π/3

Answer

-π/3, 2π/3

Question 3

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

Answer

Angle of elevation

Answer

Right angle

Answer

Angle of depression

Question 4

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

Answer

α > β > 0

Question 5

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

Answer

No solution

Answer

More than one real solution

Answer

One real solution

Answer

None of these

Question 6

6. 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 7

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

Question 8

8. tan⁻¹ x > cot⁻¹ x holds for

Answer

All values of x

Question 9

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

Answer

A = 2n π + β, n is any integer

Answer

A = 2n π + β, n natural number

Question 10

10. cos (tan⁻¹ ∞) = ?

Question 11

11. Solution of 1 + cosx = 0 is

Answer

None of these

Question 12

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

Answer

None of these

Answer

Finite number of

Question 13

13. Trigonometric functions are ___________

Answer

Continuous

Answer

None of these

Question 14

14. For m ≠ n if tan m θ = tan n θ, then the different values of θ are in

Answer

No particular sequence

Question 15

15. $Math 14.05$

Question 16

16. If sin x = ½ , then x =

Answer

- π/6, 5π/6

Answer

- π/6, -5π/6

Answer

π/6, 5π/6

Answer

π/3, 2π/3

Question 17

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

Answer

–π/4, – π/2

Answer

None of these

Answer

–π/4, 3π/4

Answer

π/4, – π/4

Question 18

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

Question 19

19. If tan θ + tan (π/3 + θ) + tan (–π/3 + θ) = a tan 3θ, then a =

Answer

None of these

Question 20

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

Answer

None of these

Question 21

21. The value of cos 15° -sin 15° is

Question 22

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

Question 23

23. If cos⁻¹ 3/5 – sin⁻¹ 4/5 = cos⁻¹ x, then x =

Answer

None of these

Question 24

24. Sin (2π – θ)

Question 25

25. 2 π + θ will have terminal side in Quad/
math

Question 26

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

Answer

None of these

Question 27

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

Question 28

28. tan (-135°) = ________ 0

Question 29

29. $Math 14.04$

Question 30

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

Answer

[- 1/3, 1/3]

Answer

None of these

Question 31

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

Answer

{π + 2nπ}

Answer

{-π+ 2nπ}

Answer

{π/2+ 2nπ}

Answer

{-π/2+ 2nπ}

Question 32

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

Answer

2nπ – B

Answer

nπ + (-1)ⁿ B

Question 33

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

Answer

None of these

Answer

x = 1/√5

Question 34

34. Which one is a pair of allied angles:

Answer

(180° – θ, 180° + θ)

Answer

None of these

Answer

(180° – θ)

Answer

(180° + θ)

Question 35

35. Domain of sin θ is

Answer

Set of natural numbers

Answer

Set of real numbers

Answer

Set of complex numbers

Answer

Set of even numbers

Question 36

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

Answer

None of these

Question 37

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

Answer

2nπ ± π/3

Answer

nπ ± π/3

Answer

nπ ± π/6

Answer

2nπ ± π/6

Question 38

38. If θ = 60° then

Answer

Sec θ = 4

Answer

tan θ = cot 30°

Answer

sin θ = ½

Question 39

39. A trigonometric equation has _________ solutions

Question 40

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

Question 41

41. 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 42

42. If Cos θ = 0, Then θ =

Answer

(2n – 1) π/2

Answer

(2n+1) π/2

Answer

(n ± 1) π/2

Question 43

43. Some time it is necessary to __________ both sides of a trigonometric equation.

Answer

Multiplying

Answer

Square root

Question 44

44. Solve for x, cos x = - √3/2

Question 45

45. sec (-360°) = _________

Question 46

46. Area of ∆ABC =

Answer

½ ac Sin β

Answer

½ ac Sin ϒ

Answer

½ ab Sin a

Question 47

47. Sec x = tan x is a

Answer

Algebraic equation

Answer

Trigonometric equation

Question 48

48. $Math 14.02$

Question 49

49. Cosec⁻¹ x + sec⁻¹ x

Question 50

50. Sin⁻¹ (1) + cos⁻¹ (1) = ?

Question 51

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

Answer

Algebraic sentence

Answer

Trigonometric equation

Answer

Trigonometric sentence

Answer

Algebraic equation

Question 52

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

Question 53

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

Answer

π/3, π/9

Answer

π/3, π/4

Answer

π/6, π/9

Answer

π/9, π/4

Question 54

54. Cot⁻¹ x = ?

Answer

-Tan⁻¹ x

Answer

Tan⁻¹(1/x)

Answer

Cos⁻¹ x

Answer

1/tan⁻¹x

Question 55

55. $Math 14.03$

Question 56

56. Tan 75° - cos 75° is equal to

Question 57

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

Answer

nπ/3 + π/12

Answer

nπ ± π/4

Answer

nπ + π/4

Question 58

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

Question 59

59. $Math 14.01$

Question 60

60. 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 sec⁻¹ θ and sec⁻¹ Ø are real

Answer

None of these

Answer

Both sin⁻¹ θ and sin⁻¹ Ø are real

Question 61

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

Question 62

62. Domain of cos θ is:

Answer

Set of integers

Answer

Set of odd numbers

Answer

Set of real numbers

Answer

Set of complex numbers

Question 63

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

Question 64

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

Answer

Cos 2x = sin 4y

Answer

Cos 4y = cos 2 x

Answer

None of these

Answer

Cos 3 y = sin 4x

Answer 104

θ = n π + (– 1)ⁿ sin⁻¹ 3/4

Answer 105

θ = n π ± sin⁻¹ (3/4)

Answer 106

θ = nx/2 + (– 1)ⁿ/2 sin⁻¹ 3/4

Answer 107

None of these

Answer 108

{π + 2nπ}

Answer 109

{π + 3nπ}

Answer 110

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

Answer 111

None of these

Answer 112

Tan x tan 2x tan 3x

Answer 113

-tan x tan 2x tan 3x

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