TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES (CDS)

Total Questions: 108

31. If 0 < x < π/2, then (sinx + cosec x) is [2017 (II) Evening Shift]

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

32. Solve the following equation [2017 (II) Evening Shift]

Correct Answer: (a)
Solution:

33. Solve the following equation [2017 (II) Evening Shift]

Correct Answer: (a) A = B
Solution:We have,

34. If θ measured in radians is the angle between the hour and the minute hand of a clock when the time is 4 : 36 pm, then which one of the following is correct? [2017 (II) Evening Shift]

Correct Answer: (b)
Solution:We know that hour completes are rotation in 12 hours while hand completes are rotation in 60 minutes.

35. Consider the following statements [2017 (II) Evening Shift]

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


36. Solve the following equation [2017 (II) Evening Shift]

Correct Answer: (b) less than 1
Solution:We know that

37. If D is the number of degrees and R is the number of radians in an angle θ, then which one of the following is correct? [2017 (I) Morning Shift]

Correct Answer: (c) πR = 180D
Solution:We know that,

38. What is the minimum value of 9 Tan²θ + 4cot²θ ? [2017 (I) Morning Shift]

Correct Answer: (c) 12
Solution:We know that, AM ≥ GM

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

Correct Answer: (a)
Solution:


40. If cos θ₁ + cos θ₂ + cos θ3 = 3 then 2 what is sin θ₁ + sin θ₂ + sin θ₃ equal to? [2017 (I) Morning Shift]

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