Q41.Solve: 4 sin2 x – 1 = 0, 0 x 2
Correct answer: 6
Q42.If 4 4 10sin x 15cos x 6, then the value of 8 6 81cosec x 8tan x is:
Correct answer: 652
Q43.(log cosec 1° ° + log cosec 2° ° +.........+log cosec 89° °) + (log tan 1° ° + log tan 2° ° +........+log tan 89° °) – (log sec 1° ° + log sec 2° ° +.........+log sec 89° °) = ____.
Correct answer: 0
Q44.sin 800 – cos 800 = ______.
Correct answer: 2 sin35
Q45.If 2 2 2 A B (cosA cosB) (sinA sinB) sin, 2 then what is the value of λ?
Correct answer: 4
Q46.3 12cos 9cos ________. 6 6
Correct answer: 0
Q47.If 1 cosθ x= – sinθ sinθ and 1 cosθ y = + sinθ sinθ then which of the following is true.
Correct answer: xy = 1
Q48.The value of 2 2 2 2 2 sin 19º+sin 71º +sin 71º+cos71ºsin19º cos 24º+cos 66º is:
Correct answer: 2
Q49.If sin4 a – cos4 a = 1/3 then what is the value of 1–2cos2 a?
Correct answer: 1/3
Q50.Which of the following correctly expresses sin 1600 in terms of trigonometrically ratios?
Correct answer: sin 200
EnglishHarayana TGT 2020 / OAVS TGT 2018
Q51.The value of tan 1°, tan 2°,........tan 89° is:
Correct answer: 1
Q52.Which of the following is false?
Correct answer: sec2 θ + 1 = tan2 θ
Q53.1 1 cos 2sin 2 2 is equal to–
Correct answer: 2/3
Q54.If 3 sin 2θ = 2 sin 3θ and 0 < θ < π then value of sin 2θ is–
Correct answer: Discrepancy / answer not specified in source
Q55.Let B = 2 sin2 x–cos2x, then–
Correct answer: 1 B 3
Q56.In a ∆ ∆ ∆ABC, b = 5 cm, a = 2 cm and 3 sinA = 7. How many such triangles are possible?
Correct answer: 0
Q57.In ∆ ∆ ∆ABC, a = 2b and π A – B = 3, then ∠ ∠ ∠C is ∆ ∆ABC ceW a = 2b Deewj π A – B = 3, lees ∠ ∠ ∠C nw
Correct answer: 3/π
Q58.In a triangle ABC if sinB cosA = 2sinC then triangle is
Correct answer: Isosceles
Q59.2 + 2 + 2 + 2cos8θ is equal to
Correct answer: 2 cos θ
EnglishUPPSC Ashram Paddhati 2021
Q60.The number of solutions of cos 2θ = sinθ in the interval (0, 2π) is
Correct answer: 3