Trigonometry (Railway Maths) (Part – I)

Total Questions: 50

11. If 7sin² x + 3 cos² x = 4, and x is acute angle, than value of cotx + tanx will be: [Group D 09/09/2022 (Evening) ]

Correct Answer: (c) 4/√3
Solution:

12. Simplify the equation? [Group D 12/09/2022 (Evening) ]

Correct Answer: (a) tan 70°
Solution:

13. If cosθ = x/sinθ then the value of sin⁶θ + cos⁶θ = _________. [Group D 14/09/2022 (Morning) ]

Correct Answer: (a) 1 - 3x²
Solution:

14. If a secA + b tanA + c = 0 and a' secA + b'tanA + c' = 0 then (bc' - b'c)² - (ca' - c'a)² is equal to: [Group D 19/09/2022 (Afternoon) ]

Correct Answer: (d) (ab' - a'b)²
Solution:

15. Simplify the equation? [Group D 20/09/2022 (Evening) ]

Correct Answer: (b) 0
Solution:

16. Given asinq = bcosq and asin³ q + bcos³ q = sinq cosq, 0< q < 90°, find the value of a² + b². [Group D 26/09/2022 (Morning) ]

Correct Answer: (b) 1
Solution:

17. If p sin²β + q cos²β = r, then the value of cot² β is: [Group D 27/09/2022 (Morning) ]

Correct Answer: (c)
Solution:

18. The value of ( sin θ + cosec θ)² + (cosθ + secθ)² is: [Group D 27/09/2022 (Afternoon) ]

Correct Answer: (c) 7 + cot²θ + tan²θ
Solution:

19. The value of cosec(47° + θ) - sec(43° - θ) + tan(61° + θ) - cot(29° - θ) + sin(45° + θ) - cos(45° - θ) is equal to: [Group D 29/09/2022 (Morning) ]

Correct Answer: (a) 0
Solution:

20. If θ is an acute angle, and cosθ = 12/13, then the value of 13 sinθ + 12 secθ / 12tanθ + 5 cosecθ is: [Group D 29/09/2022 (Evening) ]

Correct Answer: (a) 1
Solution: