Trigonometry (Railway Maths) (Part – V)

Total Questions: 50

31. If 3tanθ = 2, then what will be the value of following? [RRB NTPC 05/04/2021 (Evening) ]

Correct Answer: (b) 0
Solution:

32. If cos⁴θ - sin⁴θ = 3/5, then what will be the value of the following? [RRB NTPC 05/04/2021 (Evening)]

1 - 2sin²θ + 2sinθcosθ

Correct Answer: (c) 7/5
Solution:

33. If θ is an acute angle and tanθ + cotθ = 2, then what will be the value of the following? [RRB NTPC 05/04/2021 (Evening)]

tan¹⁵θ + cot²⁰θ + 2tan²⁰θcot¹⁵θ

Correct Answer: (a) 4
Solution:

34. If tanA + tanB = p and cotA + cotB = q, then cot(A + B) is: [RRB NTPC 07/04/2021 (Morning) ]

Correct Answer: (b) q - p / pq
Solution:

35. The value of cos 23° + cos 24° + cos 25° + …. + cos 87° is: [RRB NTPC 08/04/2021 (Morning)]

Correct Answer: (d) 85/2
Solution:

36. If (1 - cosP)(1 + cosP) = 3/4 and P is an acute angle, then find the value of secP. [RRB NTPC 23/07/2021 (Morning)]

Correct Answer: (c) 2
Solution:

37. If 2(cosθ + secθ) = 5, What is the value of sec²θ + cos²θ? [RRB NTPC 23/07/2021 (Evening)]

Correct Answer: (c) 17/4
Solution:

38. If x = 3cosAcosB, y = 3cosAsinB, and z = 3sinA, find the value of x² + y² + z². [RRB NTPC 23/07/2021 (Evening)]

Correct Answer: (d) 9
Solution:

39. What is the value of sin25° + sin210° + sin280° + sin285°? [RRB NTPC 23/07/2021 (Evening)]

Correct Answer: (b) 2
Solution:

40. If secθ + tanθ = 2 + √3, then cosθ = ? [RRB NTPC 24/07/2021 (Morning)]

Correct Answer: (c) 1/2
Solution: