Trigonometry (Railway Maths) (Part – IV)

Total Questions: 50

41. If cos42° = p, then tan48° = ? [RRB NTPC 27/02/2021 (Morning) ]

Correct Answer: (b)
Solution:

42. If cosx - 3sinx = √3sinx, then the value of tanx is: [RRB NTPC 27/02/2021 (Evening) ]

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

43. The greatest value of sinx + cosx is: [RRB NTPC 27/02/2021 (Evening) ]

Correct Answer: (c) √2
Solution:

44. The value of sin15°sin30°sin75° is : [RRB NTPC 27/02/2021 (Evening) ]

Correct Answer: (b) 1/8
Solution:

45. In a triangle ABC that is right angled at C, L A = L B. The value of sinAsinB + cosAcosB is : [RRB NTPC 01/03/2021 (Morning) ]

Correct Answer: (c) 1
Solution:

46. Find the value of cot 19° (cot71° cos²21° + 1/ tan71° sec²69°). [RRB NTPC 01/03/2021 (Morning) ]

Correct Answer: (d) 1
Solution:

47. Find the value of : tan11° tan41° tan45° tan49° tan79°. [RRB NTPC 01/03/2021 (Evening) ]

Correct Answer: (d) 1
Solution:

We know that tanA · tanB = 1
if A + B = 90°
tan11° · tan41° · tan45° · tan49° · tan79° = 1

48. If θ is an acute angle and sinθ = cosθ, then 2 cot²θ + sin²θ - 1 = ? [RRB NTPC 02/03/2021 (Morning) ]

Correct Answer: (a) 3/2
Solution:

49. Find the answer of given question? [RRB NTPC 02/03/2021 (Evening) ]

Correct Answer: (d) nπ + π /6
Solution:

50. If tan15° = 2 - √3, what is the value of tan15° cot 75° + tan 75° cot 15°. [RRB NTPC 03/03/2021 (Morning) ]

Correct Answer: (b) 14
Solution: