Trigonometry (Railway Maths) (Part – I)

Total Questions: 50

1. If sec 4A = cosec (3A - 50°), where 4A and 3A are acute angles, find the value of A + 75. [Group D 18/08/2022 (Afternoon) ]

Correct Answer: (a) 95°
Solution:

2. The value of [Group D 22/08/2022 (Afternoon) ]

Correct Answer: (b) 5/3
Solution:

3. The value of [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) 1
Solution:

4. If tanθ = 4, then the value of 4cosθ + 2 sinθ / 2 sinθ - cosθ is : [Group D 23/08/2022 (Afternoon) ]

Correct Answer: (b) 12/7
Solution:

5. Simplify the equation? [Group D 24/08/2022 (Evening) ]

Correct Answer: (d) 2
Solution:

6. Find the value of [Group D 26/08/2022 (Evening) ]

Correct Answer: (b) 1 - cosα
Solution:

7. If cos⁴ θ - sin⁴ θ = k, then the value of 1 + k / 1 - k is: [Group D 29/08/2022 (Afternoon) ]

Correct Answer: (a) cot² θ
Solution:

8. Simplify the equation? [Group D 29/08/2022 (Evening) ]

Correct Answer: (c) cosθ
Solution:

9. If x = (sec θ - cos θ) (cot θ + tan θ) and y = secθ(sec θ + tan θ)( 1 - sinθ), 0°<θ < 90°, then xy is equal to: [Group D 02/09/2022 (Morning) ]

Correct Answer: (a) tanθ secθ
Solution:

10. Simplify the equation? [Group D 05/09/2022 (Afternoon) ]

Correct Answer: (d) sinθ
Solution: