TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES (CDS)

Total Questions: 108

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

Correct Answer: (b)
Solution:We have,

22. Solve the following equation [2018 (I) Morning Shift]

Correct Answer: (d)
Solution:

23. What is cot l° cot 23° cot 45° cot 67° cot 89° equal to ? [2018 (I) Morning Shift]

Correct Answer: (b) 1
Solution:

24. Consider the following statements: [2018 (I) Morning Shift]

Correct Answer: (b) 2 only
Solution:Statement 1.

25. If sec x cosecx = 2 , then what is tanⁿ x + cotⁿ x equal to? [2018 (I) Morning Shift]

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


26. If cos x + cos² x = I then what is sin² x + sin⁴ x equal to ? [2018 (I) Morning Shift]

Correct Answer: (a) 1
Solution:cos x + cos² x = I [Given]

27. If sin A + cos A = p and sin³ A + cos³ A = q, then which one of the following is correct? [2018 (I) Morning Shift]

Correct Answer: (c) p³ - 3p + 2q = 0
Solution:Given, sin A + cos A = p ...(i)

28. Solve the following equation [2018 (I) Morning Shift]

Correct Answer: (d)
Solution:

29. What angle does the hour hand of a clock describe in 10 min of time? [2018 (I) Morning Shift]

Correct Answer: (b) 5º
Solution:The hour hand of the clock covers 360º in 12 h.

30. ABC is a right angled triangle with base BC and height AB.The hypotenuse AC is four times the length of the perpendicular drawn to it from the opposite vertex. What is tan C equal to [2018 (I) Morning Shift]

Correct Answer: (a) 2 - √3
Solution:According to the question,