TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES (CDS)

Total Questions: 108

11. What is the value of sin⁶ θ + cos⁶ θ + 3sin² θ cos² θ - 1 [2019 (I) Morning Shift]

Correct Answer: (a) 0
Solution:Given,

12. Consider the following for real numbers α, β, γ and δ [2019 (I) Morning Shift]

1. sec α = 1/4
2. tan β = 20
3. cosec γ = 1/2
4. cos δ = 2

How many of the above statements are not possible?

Correct Answer: (c) Three
Solution:α, β, γ and δ are real numbers

13. Solve the following equation [2018 (II) Evening Shift]

Correct Answer: (b) −4/3
Solution:We have,

14. If 0 < θ < 90º, 0 < φ < 90º and cos θ < cos φ, then which one of the following is correct ? [2018 (II) Evening Shift]

Correct Answer: (b) θ > φ
Solution:

15. Let sin (A + B) = √3/2 and cos B = √3/2, where A B, are acute angles. What is tan (2A - B) equal to ? [2018 (II) Evening Shift]

Correct Answer: (c) 1/√3
Solution:We have,

16. Consider the following statements [2018 (II) Evening Shift]

Correct Answer: (c) Both 1 and 2
Solution:We have,

17. Consider the following statements [2018 (II) Evening Shift]

Correct Answer: (c) Both 1 and 2
Solution:


18. Consider the following statements [2018 (II) Evening Shift]

Correct Answer: (c) Both 1 and 2
Solution:1. cos θ + sec θ

19. Solve the following equation [2018 (II) Evening Shift]

Correct Answer: (c) 1
Solution:We have,

20. Solve the following equation [2018 (II) Evening Shift]

Correct Answer: (d) 18
Solution: