Trigonometry (Railway Maths) (Part – VI)Total Questions: 3121. What will be the value of cos4x: [ALP Tier II 21/01/2019 (Afternoon) ](a) 1-4sin 2 x cos 2 x(b) 1 - 5sin 2 x cos 2 x(c) 1 - 3sin 2 x cos 2 x(d) 1 - 8sin 2 x cos²xCorrect Answer: (d) 1 - 8sin 2 x cos²xSolution:22. cos(45°+ x) + cos(45°- x) = ? What will be the value of [ALP Tier II 21/01/2019 (Afternoon) ](a) √3 cotx(b) √2 cosx(c) √3 cosx(d) √sinxCorrect Answer: (b) √2 cosxSolution:23. if sinx = 5/13, then what is the value of cot x? [ALP Tier II 21/01/2019 (Afternoon) ](a) 7/13(b) 5/12(c) 12/5(d) 13/5Correct Answer: (c) 12/5Solution:24. If cot⁴θ + cot²θ = 3, then cosec⁴θ - cosec²θ = ? [RRB ALP 09/08/2018 (Afternoon) ](a) 1(b) 0(c) 2(d) 3Correct Answer: (d) 3Solution:25. Find the answer of given equation? [RRB ALP 10/08/2018 (Morning) ](a) 30°(b) 90°(c) 45°(d) 60°Correct Answer: (d) 60°Solution:26. If tanα = √2 - 1 then the value of tanα - cotα = ? [RRB ALP 13/08/2018 (Evening) ](a) √2 + 1(b) 1(c) -2(d) 2√2Correct Answer: (c) -2Solution:27. If tan⁴θ + tan²θ = 2, then sec⁴θ - sec²θ =? [RRB ALP 14/08/2018 (Evening) ](a) 2(b) 1(c) 0(d) 3Correct Answer: (a) 2Solution:28. Sinθ cos(90° - θ) + cosθ sin(90° - θ) = ? [RRB ALP 20/08/2018 (Evening) ](a) 2(b) 0(c) -1(d) 1Correct Answer: (d) 1Solution:29. If sin x + cos x = √2 sin x the the value of tan x is: [RRB ALP 21/08/2018 (Afternoon) ](a) √2 - 1(b) √2 + 1(c) 1(d) √2Correct Answer: (b) √2 + 1Solution:30. A right-angled triangle ABC is right-angled at B, and tan A = 4/3. If AC = 25 cm, the length of BC is: [RRB ALP 31/08/2018 (Afternoon) ](a) 18.75 cm(b) 20 cm(c) 33.3 cm(d) 24 cmCorrect Answer: (b) 20 cmSolution:Submit Quiz« Previous1234Next »