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 + π/4

Answer

nπ ± π/4

Answer

nπ/3 + π/12

Question 2

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

Question 3

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

Answer

No particular sequence

Question 4

4. 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 5

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

Answer

Both sin⁻¹ θ and sin⁻¹ Ø are real

Answer

Both tan⁻¹ θ and tan⁻¹ Ø are real

Answer

None of these

Answer

Both sec⁻¹ θ and sec⁻¹ Ø are real

Question 6

6. tan⁻¹ x > cot⁻¹ x holds for

Answer

All values of x

Question 7

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

Answer

nπ ± π/3

Answer

2nπ ± π/3

Answer

nπ ± π/6

Answer

2nπ ± π/6

Question 8

8. Cosec⁻¹ x + sec⁻¹ x

Question 9

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

Answer

None of these

Answer

Finite number of

Question 10

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

Answer

Algebraic sentence

Answer

Algebraic equation

Answer

Trigonometric sentence

Answer

Trigonometric equation

Question 11

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

Answer

None of these

Answer

[- 1/3, 1/3]

Question 12

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

Answer

One real solution

Answer

No solution

Answer

None of these

Answer

More than one real solution

Question 13

13. If Cos θ = 0, Then θ =

Answer

(2n+1) π/2

Answer

(2n – 1) π/2

Answer

(n ± 1) π/2

Question 14

14. 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 15

15. Solve for x, cos x = - √3/2

Question 16

16. Cot⁻¹ x = ?

Answer

Cos⁻¹ x

Answer

1/tan⁻¹x

Answer

Tan⁻¹(1/x)

Answer

-Tan⁻¹ x

Question 17

17.

Question 18

18. 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

Question 19

19. 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 20

20. Sec⁻¹ (x) = ?

Answer

(sec x)⁻¹

Answer

Cos⁻¹ x

Answer

Cos⁻¹(1/x)

Answer

None of these

Question 21

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

Answer

x = 1/√5

Answer

None of these

Question 22

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

Answer

-tan x tan 2x tan 3x

Answer

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

Answer

None of these

Answer

Tan x tan 2x tan 3x

Question 23

23. Domain of cos θ is:

Answer

Set of complex numbers

Answer

Set of real numbers

Answer

Set of odd numbers

Answer

Set of integers

Question 24

24. 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

None of these

Answer

Cos 3 y = sin 4x

Question 25

25.

Question 26

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

Answer

{π + 2nπ}

Answer

{π + 3nπ}

Question 27

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

Question 28

28. Trigonometric functions are ___________

Answer

Continuous

Answer

None of these

Question 29

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

Answer

π/9, π/4

Answer

π/3, π/9

Answer

π/6, π/9

Answer

π/3, π/4

Question 30

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

Answer

None of these

Question 31

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

Question 32

32. Area of ∆ABC =

Answer

½ ac Sin ϒ

Answer

½ ac Sin β

Answer

½ ab Sin a

Question 33

33. Sin (2π – θ)

Question 34

34. 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 35

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

Answer

Square root

Answer

Multiplying

Question 36

36. 2 π + θ will have terminal side in Quad/
math

Question 37

37. Tan 75° - cos 75° is equal to

Question 38

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

Question 39

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

Answer

None of these

Question 40

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

Answer

None of these

Question 41

41. tan (-135°) = ________ 0

Question 42

42. Solution of 1 + cosx = 0 is

Answer

None of these

Question 43

43. cos x = ½ has a solution

Question 44

44. Which one is a pair of allied angles:

Answer

(180° – θ, 180° + θ)

Answer

None of these

Answer

(180° – θ)

Answer

(180° + θ)

Question 45

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

Question 46

46. 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 47

47. 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 48

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

Answer

Right angle

Answer

Angle of elevation

Answer

Angle of depression

Question 49

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

Question 50

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

Answer

None of these

Question 51

51.

Question 52

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

Answer

α > β > 0

Question 53

53. If θ = 60° then

Answer

sin θ = ½

Answer

tan θ = cot 30°

Answer

Sec θ = 4

Question 54

54. The solution of sin²x = ¾ is

Answer

-π/3, 2π/3

Answer

4π/3, 5π/3

Answer

π/3, 2π/3

Answer

None of these

Question 55

55. sec (-360°) = _________

Question 56

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

Question 57

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

Question 58

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

Answer

None of these

Question 59

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

Question 60

60. The value of cos 15° -sin 15° is

Question 61

61. cos (tan⁻¹ ∞) = ?

Question 62

62.

Question 63

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

Answer

θ = n π + (– 1)ⁿ sin⁻¹ 3/4

Answer

θ = n π ± sin⁻¹ (3/4)

Answer

None of these

Answer

θ = nx/2 + (– 1)ⁿ/2 sin⁻¹ 3/4

Question 64

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

Answer 108

Set of real numbers

Answer 109

Set of natural numbers

Answer 110

Set of complex numbers

Answer 111

Set of even numbers

Answer 112

Algebraic equation

Answer 113

Trigonometric equation

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:

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:

Related Content

Maan Ali

Leave a Reply Cancel reply