 # Trigonometry Part 2: Advance math series 2000 most important questions.

Trigonometry Part 2: Advance math series 2000 most important questions.

Q41. The value of is

(a) √3

(b) -√2

(c) 2/√3

(d) √3/2

Q42. sinθ+sin(θ+120°)+sin(θ+240°) equals to

(a) 0

(b) 1

(c) √3

(d) 2

Q43. If 2sin2θ+cos245° and 0°≤θ≤90° , then the value of sinθ is?

(a) 1

(b) √3

(c) 1/√3

(d) 1/2

Q44. If 2 sin2x + cos245° and 0°≤x≤90°, then the value of tanx will be

(a) 1

(b) √3

(c) 1/√3

(d) 3

Q45. If sinθ = 8/17 where 0°≤θ≤90° , then the value of tanθ+secθ is

(a) 1/3

(b) 2/3

(c) 4/3

(d) 5/3 Q46. Which one is smaller sin 66° or cos 66°

(a) sin 66°

(b) cos 66°

(c) both equal

(d) None of these

Q47. In equation, x = cost, y = 2 sin t. cos t after eliminating t, we get

(a) y2 = 4x2 + 4x4

(b) y2= 4x2 – 4x4

(c) y2= 2x2 + 4x4

(d) y2= 2x2 – 4x4

Q48. The value of is

(a) 0

(b) 1

(c) 2

(d) 4

Q49. If then the value of θ when is

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Q50. If 2sinθ=secθ then the value of sin4 θ + cosθ is

(a) 1

(b) 1/2

(c) 1/4

(d) 1/8

Q51. If then the value of is

(a) (b) (c) (d) Q52.  Sin2 38° + cos2 38° ?

(a) 1/2

(b) √3

(c) 1

(d) 1/3

Q53. If 8 tan A = 15, then is equals to

(a) 7/23

(b) 11/23

(c) 13/23

(d) 17/23

Q54. If x = a cos2θsinθ , y=  a sin2θcosθ  then which of the following expression is independent of θ

(a) (x2 + y2)3 /(x2y2)

(b) Select correct answer from given option:

Option :

(a) Only (a)

(b) Only (b)

(c) both 1.and 2.

(d) none of these

Q55. If then  the value of is

(a) (b) (c) ab

(d) Q56. tan 70° is equals to

(a) tan 50°+tan20°

(b) 2 tan 50°+tan20°

(c) tan 50°+2tan20°

(d) 2tan 50°+2tan20°

Q57. If then is equals to

(a) (b) cos θ

(c) 2 cos 3θ

(d) 3 cos 3θ

Q58. If x = a secnθ and y=btannθ  then after the elementation of θ we get

(a) (b) (c) (d) None of these

Q59. If x = 3 cosA. cosB, y = 3 cosA. sinB and z = 3 sinA, then x2 +y2+ z3is equal

(a) 3

(b) 6

(c) 12

(d) 9

Q60. cos (A – B) = 1/2 and sin (A + B) = 1/2 , then the lowest positive value of ∠ A

(a) 135°

(b) 60°

(c) 30°

(d) 105°

Q61. If 4 sin2 x – 3 = 0, 0< x < 2 π then the value of x

(a) (b) (c) (d) Q62. If cos 4 A = -1/2 then what is the value of cosA

(a) 8

(b) 6

(c) 4

(d) 2

Q63. is equals to

(a) (b) (c) (d) Q64.  The value of  cot41° cot42°.cot43°.cot44° cot45°.cot46°.cot47°.cot48°.cot49° is equals to

(a) √3/2

(b) √3

(c) 1/2

(d) 1

Q65. If α and β are the angle between the line x cosα + y sinα = p and x cos β+ysinβ=p is

(a) α + β

(b) α – β

(c) (α + β)/2

(d) (α – β)/2

Q66. If sec2 θ + tanθ = 5/3 and 0≤ θ ≤ π/2 then he value of θ is

(a) 15°

(b) 30°

(c) 45°

(d) 60°

Q67. True value of t will be in equation 2 (sin6 x +cos6 x) + t  (sin4 x +cos4 x)=-1

(a) 0

(b) – 1

(c) – 2

(d) – 3

Q68. (sin θ + cos θ)3 + (sin θ – cos θ)is equal to

(a) (b) (c) (d) Q69. If (a) 0

(b) 1

(c) (d) Q70. In the given figure ABCD is a parllelogran whose side AD = a unit, DC = 2a unit and DE: EC = 1 2; CEFG is a rectangle whose side EF = 3 AE. What will be the ratio of parallelogram to the rectangle? (a) 1 : 1

(b) 1 : 2

(c) (d) 2 : 1

Q71. If 5 tan θ = 4, then the value of is equals to

(a) 14/5

(b) 9/5

(c) 5/9

(d) 5/14

Q72. How many solutions of equation sin θ + cos θ = 2 ?

(a) 0

(b) 1

(c) 2

(d) infinite

Q73.  If a2 + b2 + c2 = ab + bc + ca, then the value of a3 +b3 + c2 is

(a) 3 abc

(b) 3a2 b2c2

(c) 3(abc)3

(d) None of these

Q74. The value of sin θ in the form of sec θ is

(a) (b) (c) (d) Q75. What is the value of θ (0≤ θ ≤ π/2) , while sin2 θ – 2 cos θ +1/4 =0 ?

(a) π/2

(b) π/3

(c) π/4

(d) π/5

Q76. 2 cos θ = then the value of  2 cos2 θ is

(a) (b) (c) (d) 1

Q77. If sin 2θ = cos θ is acute angle then the value of θ is

(a) 60°

(b) 0°

(c) 45°

(d) 30°

Q78. If cos θ = then 2 cos2 θ – 1 is

(a) (b) 2s

(c) (d) Q79. The maximum of (sin θ+ cos θ ) is

(a) √2

(b) 2

(c) 1

(d) 0 Q80. For first quadrant which of the following is true?

(a) cos θ  increases when θ increases.

(b) cos θ  decreases when θ increases.

(c) cos θ  remains the same.

(d) cos θ  does not depend on θ.

For More Articles You Can Visit On Below Links :

SSC CGL 2018 & 2019 Online Preparation New Batch

400 most important questions for SSC CGL Math Pinnacle

India’s 1st Hard Drive Course for SSC CGL 2018 & 2019

750 Most Important Questions For SSC CGL Economics

Spot The Error : 10 Important Questions from CGL 2016 Exam

Algebra 500 important questions for Practice : 50 minutes

SSC Mensuration notes: 500 Questions Series advance math PDF

Trigonometry Part 1/10 Video : explain formulae and concepts

Geometry Properties for SSC CGL Exam : Part 2

Profit and Loss: 22 Tricks explained by Baljit Dhaka Video

1. mahalaya says: