TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES (CDS)

Total Questions: 108

41. What is the value of θ which satisfies the equation cos θ + tan θ = 1 ? [2017 (I) Morning Shift]

Correct Answer: (a) 0º
Solution:We have,

42. What is the value of [2017 (I) Morning Shift]

Correct Answer: (a) √2
Solution:We have,

43. Solve the following equation [2017 (I) Morning Shift]

Correct Answer: (c) 1
Solution:

44. Solve the following equation [2017 (I) Morning Shift]

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

45. If sin θ + cos θ = √7/2, then what is sinθ - cosθ equal to? [2016 (II) Evening Shift]

Correct Answer: (b) 1/2
Solution:


46. If sin x + sin² x = 1 then what is the value of cos⁸ x + 2cos⁶ x + cos⁶ x [2016 (II) Evening Shift]

Correct Answer: (b) 1
Solution:Given, sin x + sin² x = 1

47. What is the value of cosec² 68°+ sec² 56° - cot² 34° - tan² 22° ? [2016 (II) Evening Shift]

Correct Answer: (d) 2
Solution:

48. If 2y cosθ = x sinθ and 2x secθ - y cosecθ = 3 then what is x² + 4y² equal to? [2016 (II) Evening Shift]

Correct Answer: (c) 4
Solution:Given, 2y cosθ = x sinθ


49. Solve the following equation [2016 (II) Evening Shift]

Correct Answer: (d)
Solution:


50. If A = sin² θ + cos⁴ θ, where 0 ≤ θ < π/2, then which one of the following is correct? [2016 (II) Evening Shift]

Correct Answer: (b) 3/4 ≤ A ≤ 1
Solution:The value of A, when θ = 0° ,