Trigonometry (Part-4)

Trigonometry Table- Learn Sin Cos Tan Table, Trigonometric Ratio Value Chart -

Total Questions: 50

31. If θ is an acute angle and tanθ + cotθ = 2, then find the value of tan³θ + cot³θ + 6tan³θ cot²θ. [SSC CHSL 02/07/2024 (3rd Shift)]

Correct Answer: (a) 8
Solution:

32. Simpify [SSC CHSL 02/07/2024 (4th Shift)]

Correct Answer: (d) 4
Solution:

33. (cotθ + tanθ) (cosecθ - sinθ) (cosθ - secθ) = ______ . [SSC CHSL 03/07/2024 (1st Shift)]

Correct Answer: (a) -1
Solution:

34. Find the value of the following expression. [SSC CHSL 03/07/2024 (2nd Shift)]

sin(30 + θ) - cos(60 - θ)

Correct Answer: (d) 0
Solution:

35. If α + β = 45° and (tan α+1) (tan β +1) = 2x, then x is: [SSC CHSL 03/07/2024 (4th Shift)]

Correct Answer: (c) 1
Solution:

36. What is the value of tan 570° ? [SSC CHSL 04/07/2024 (1st Shift)]

Correct Answer: (c)
Solution:

37. What is the value of- [SSC CHSL 04/07/2024 (2nd Shift)]

Correct Answer: (d) sec² 2α tan² 2α
Solution:

38. If θ is an acute angle and cotθ + tanθ = 2 then find the value of tan¹²θ + cot¹²θ + 2tan⁵θcot⁷θ. [SSC CHSL 04/07/2024 (3rd Shift)]

Correct Answer: (c) 4
Solution:

39. If θ be acute angle and cos θ = 24/25, then the value of cot (90-θ) is equal to: [SSC CHSL 05/07/2024 (3rd Shift)]

Correct Answer: (b) 7/24
Solution:

40. Simplify [SSC CHSL 05/07/2024 (4th Shift)]

Correct Answer: (c) 1
Solution: