Trigonometry (Railway Maths) (Part – I)

Total Questions: 50

21. If sin² x + 3 cos² x = 2, and (0° < x < 90°), find the value of cosec x. [Group D 30/09/2022 (Morning) ]

Correct Answer: (d) √2
Solution:

22. The value of [Group D 06/10/2022 Evening) ]

Correct Answer: (d) - 490
Solution:

23. secθ + tanθ = p, then find 4secθ. [Group D 07/10/2022 (Morning) ]

Correct Answer: (b)
Solution:

24. In the given right-angled triangle, where the lengths of the sides given are 15cm and 8cm, find the value of cosα + cot α: [Group D 11/10/2022 (Evening) ]

Correct Answer: (b) 375/136
Solution:

25. If sin 2x = cos 60° cos 30° + sin 60° sin 30°, then which of the following is a possible value of tan x + sec x? [NTPC CBT II Level 5 (12/06/2022) Shift 2 ]

(0 < x < 90°)

Correct Answer: (d) √3
Solution:

26. The value of 5sin14°sec76° + 3cot 15°cot75° + 2tan45° is : [NTPC CBT - I 28/12/2020 (Morning) ]

Correct Answer: (c) 10
Solution:

27. Evaluate: cos20°cos40°cos80°. [NTPC CBT - I 29/12/2020 (Morning) ]

Correct Answer: (c) 1/8
Solution:

28. 2(sin⁶θ + cos⁶θ) - (3sin⁴θ + cos⁴θ) is equal to: [NTPC CBT - I 30/12/2020 (Evening) ]

Correct Answer: (b) - 1
Solution:

29. If secθ = 5x and tanθ = 5/x, then the value of 10(x² - 1/x²) is: [NTPC CBT - I 04/01/2021 (Evening) ]

Correct Answer: (b) 2/5
Solution:

30. The value of sin15° is : [NTPC CBT - I 05/01/2021 (Morning) ]

Correct Answer: (a)
Solution: