Trigonometry (Railway Maths) (Part – V)

Total Questions: 50

21. If cosecA - cotA = 3 then cosecA + cotA = ? [RRB NTPC 14/03/2021 (Morning) ]

Correct Answer: (a) 1/3
Solution:

22. If sinA + SinB = x and cosA + cosB = y , then cos(A - B) = ? [RRB NTPC 14/03/2021 (Evening) ]

Correct Answer: (d)
Solution:

23. If cos(x + y) = 1/2 and sin(x - y) = 0, where x and y are positive acute angles and x ≥ y, then x and y are: [RRB NTPC 14/03/2021 (Evening)]

Correct Answer: (c) 30° and 30°
Solution:

24. What is the value of sin ? 15⁰ ? [RRB NTPC 15/03/2021 (Morning) ]

Correct Answer: (c)
Solution:

25. What is the value of cot(15°) - tan(15°) ? [RRB NTPC 15/03/2021 (Evening) ]

Correct Answer: (c) 2√3
Solution:

26. If cosx - 3sinx = √3 sinx, then the value of tanx is: [RRB NTPC 15/03/2021 (Evening)]

Correct Answer: (a) 3 - √3 / 6
Solution:

27. If tanα = 5/3 and tanβ = 4, then α + β is: [RRB NTPC 19/03/2021 (Evening)]

Correct Answer: (a) 135°
Solution:

28. If acosθ + bsinθ = 5 and bcosθ - asinθ = 3, then the relation between a and b is _______. [RRB NTPC 01/04/2021 (Evening)]

Correct Answer: (c) a² + b² = 34
Solution:

29. The value of (cosecθ + cotθ)(1 - cosθ) is: [RRB NTPC 05/04/2021 (Morning)]

Correct Answer: (c) sinθ
Solution:

30. If secθ + tanθ = 2 - √3, then the value of √3sinθ + cosθ is: [RRB NTPC 05/04/2021 (Evening)]

Correct Answer: (a) 2
Solution: