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MCQ practice · SSC Higher Mathematics Board questions · Chapter 8

SSC Higher Mathematics Chapter 8.

Trigonometry

56 questions · Board questions

  1. −375° lies in which quadrant?Barishal Board 2023
  2. In which quadrant does −580° lie?Barishal Board 2024
  3. In which quadrant is the angle −1038°?Chattogram Board 2023
  4. In which quadrant does the angle −3380° lie?Chattogram Board 2024
  5. In which quadrant does the angle −1060° lie?Dinajpur Board 2024
  6. The angles of a triangle are in the ratio 3 : 4 : 5. What is the circular measure of the largest angle?Chattogram Board 2023
  7. An arc of a circle of radius 2 cm makes an angle of 90° at the centre. How many cm long is the arc?Cumilla Board 2023
  8. What is the angle in degrees between the hour and minute hands of a clock at 1 : 20 in the afternoon?Cumilla Board 2023
  9. The angles of a triangle are in the ratio 2 : 5 : 11. What is the circular measure of the smallest angle?Cumilla Board 2024
  10. What is the angle between the hour hand and the minute hand at 3 : 30 in the afternoon?Dhaka Board 2024
  11. The three angles of a triangle are in the ratio 1 : 2 : 3. What is the circular measure of the largest angle?Dinajpur Board 2023
  12. The radius of a circle is 2 cm. What is the central angle of an arc 11 cm long?Dinajpur Board 2024
  13. What is the circular measure of the angle 90°?Jashore Board 2023
  14. What is the angle between the hour and minute hands when Sajib sets off?Mymensingh Board 2023
  15. From home to school, how far does the tip of the minute hand travel?Mymensingh Board 2023
  16. A wheel turns 50 times to cover 1.75 km. What is the diameter of the wheel?Mymensingh Board 2024
  17. What is the angle in degrees between the hour and minute hands at 11 : 25 in the morning?Rajshahi Board 2024
  18. What is the angle between the hour and minute hands at 9 : 45 in the morning?Sylhet Board 2024
  19. A wheel turns 30 times to cover 180π metres. What is the radius of the wheel?Sylhet Board 2024
  20. If cos²θ = 3/4, which is the value of tan²θ?Barishal Board 2024
  21. What is the value of secθ?Cumilla Board 2024
  22. If tanθ = 3√3, what is cosθ?Cumilla Board 2023
  23. In the figure, if π/4 < θ < π/2, which relation between c and a holds?Rajshahi Board 2023
  24. In the figure, which is the value of sinθ + cosθ?Rajshahi Board 2023
  25. If sinθ = 4/5 and π/2 < θ < π, what is tanθ?Barishal Board 2024
  26. If tanθ = −5/12 and tanθ and sinθ have the same sign, what is secθ?Chattogram Board 2023
  27. If tanθ = 5/12 and π < θ < 3π/2, what is cosθ?Chattogram Board 2024
  28. For all values of θ, which of the following is correct?Cumilla Board 2023
  29. If cosA = 1/2 and 3π/2 < A < 2π, what is sinA?Dinajpur Board 2023
  30. If cotθ = 3/4 and π < θ < 3π/2, which is correct?Dinajpur Board 2023
  31. If tanA and cosA have the same sign, what is sinA?Dinajpur Board 2024
  32. If cotA and cosecA have opposite signs, what is cosecA?Dinajpur Board 2024
  33. If tanθ = 5/12 and π < θ < 2π, what is cosθ?Jashore Board 2024
  34. If cotθ = −12/5 and cotθ and cosecθ have opposite signs, what is sinθ?Mymensingh Board 2023
  35. Which of the following is correct?Sylhet Board 2023
  36. In which quadrant does θ lie?Sylhet Board 2023
  37. What is the value of secθ?Jashore Board 2024
  38. If sinA = 1/2 and cosB = √3/2, what is tan(A + B)?Dhaka Board 2023
  39. If cosθ = √3/2, what is cos2θ?Jashore Board 2023
  40. If sinB = 1/2, what is the value of cos3B − sin3B?Mymensingh Board 2023
  41. If 2cosA = √2, which is the value of tan3A?Sylhet Board 2023
  42. If sin9A = cos9A, which is correct?Jashore Board 2024
  43. What is cotθ − cosecθ?Jashore Board 2024
  44. What is (2sinθ − 3cosθ)/(2sinθ + 3cosθ)?Cumilla Board 2024
  45. What is the value of cosec(−π/3)?Sylhet Board 2023
  46. If PQ = 1 and QR = √2, what is sin(−θ) + cos(−θ)?Dhaka Board 2024
  47. In △ABC, what is sec((A + B)/2)?Chattogram Board 2024
  48. If cosecθ = y/x, what is tan(3π/2 − θ)?Mymensingh Board 2024
  49. If θ is an acute angle, in which quadrant does (25π/2 + θ) lie?Rajshahi Board 2023
  50. What is the value of tan(θ − 13π/2)?Barishal Board 2023
  51. If β = 7π/2, which is correct?Rajshahi Board 2024
  52. If tan(nπ/2 + θ) = −1/√3 and θ = π/3, what is n?Chattogram Board 2024
  53. If tanθ = −√3 and π/2 < θ < π, what is θ?Barishal Board 2023
  54. If tan²A = 3 and π/2 < A < π, which is the value of A?Jashore Board 2023
  55. If PR/QR + PQ/QR = √2, what is θ?Dhaka Board 2024
  56. If 2sinθcosθ = sinθ and θ is an acute angle, what is θ?Cumilla Board 2023