Mnemonics in trigonometry - Quiz
  • 1. What is the primary use of mnemonics in trigonometry according to the text?
A) To help remember trigonometric identities and relationships between functions
B) To memorize historical dates of mathematical discoveries
C) To calculate complex integrals and derivatives
D) To measure the exact height of mountains
  • 2. What does the letter 'S' stand for in SOH?
A) Secant
B) Square
C) Sine
D) Slope
  • 3. What does the letter 'C' stand for in CAH?
A) Cosecant
B) Cotangent
C) Circle
D) Cosine
  • 4. What does the letter 'T' stand for in TOA?
A) Total
B) Tangent
C) Theta
D) Triangle
  • 5. According to SOH, how is Sine calculated?
A) Opposite divided by Adjacent
B) Opposite divided by Hypotenuse
C) Adjacent divided by Hypotenuse
D) Hypotenuse divided by Opposite
  • 6. According to CAH, how is Cosine calculated?
A) Adjacent divided by Opposite
B) Opposite divided by Hypotenuse
C) Adjacent divided by Hypotenuse
D) Hypotenuse divided by Adjacent
  • 7. According to TOA, how is Tangent calculated?
A) Sine divided by Cosine
B) Adjacent divided by Hypotenuse
C) Opposite divided by Adjacent
D) Hypotenuse divided by Opposite
  • 8. How can SOH-CAH-TOA be sounded out phonetically?
A) Sin-Cos-Tan
B) Krak-a-toa
C) SOH-kə-TOH-ə
D) So-Ka-To
  • 9. Which phrase starts with 'Some Old Horses'?
A) Some Old Hippy Caught Another Hippy
B) The Old Army Colonel And His Son
C) Some Old Horses Chew Apples Happily Throughout Old Age
D) Studying Our Homework Can Always Help
  • 10. Which mnemonic phrase starts with tangent, sine, cosine?
A) Tommy On A Ship Of His Caught A Herring
B) Come And Have Some Oranges Help To Overcome Amnesia
C) The Old Army Colonel And His Son
D) Some Old Horses Chew Apples Happily
  • 11. Which mnemonic phrase starts with tangent, cosine, sine?
A) Tommy On A Ship Of His Caught A Herring
B) Come And Have Some Oranges Help To Overcome Amnesia
C) Studying Our Homework Can Always Help
D) The Old Army Colonel And His Son Often Hiccup
  • 12. Which mnemonic phrase starts with cosine, sine, tangent?
A) Tommy On A Ship Of His Caught A Herring
B) Some Old Horses Chew Apples Happily
C) The Old Army Colonel And His Son
D) Come And Have Some Oranges Help To Overcome Amnesia
  • 13. What playful suggestion is mentioned for remembering SOH if you drop a brick on your toe?
A) Scream Out Loud
B) Soak A Toe
C) Strike A Table
D) Say Oh Ah
  • 14. What does TOA-CAH-SOH mean in Hokkien according to Chinese circles?
A) Straight line
B) Triangle of angles
C) Big-footed aunt
D) Three old cats
  • 15. What are the alternative syllables to remember Sin, Cos, and Tan ratios?
A) Opp, Hyp, Adj
B) Oh, Ah, Oh-Ah
C) Sin, Cos, Tan
D) Hi, Hello, Hey
  • 16. What does the syllable 'Oh' represent in the alternative syllable mnemonic?
A) O/A
B) A/H
C) H/O
D) O/H
  • 17. What does the syllable 'Ah' represent in the alternative syllable mnemonic?
A) H/A
B) O/A
C) A/H
D) O/H
  • 18. What does the syllable 'Oh-Ah' represent in the alternative syllable mnemonic?
A) A/O
B) O/A
C) O/H
D) A/H
  • 19. Which longer mnemonic uses the name Angie?
A) Some Old Hippy Caught Another
B) Oscar Has A Hold On Angie
C) Oscar Had A Heap of Apples
D) Studying Our Homework Can Always Help
  • 20. What does the mnemonic ASTC stand for?
A) Add Sine To Cosine
B) Always Solve Trigonometry Carefully
C) All Students Take Calculus
D) Angles Should Take Center
  • 21. What is the purpose of the ASTC mnemonic?
A) To calculate the hypotenuse of a right triangle
B) To convert degrees to radians
C) To remember the sign of each trigonometric function in each quadrant
D) To remember the order of operations
  • 22. In which direction do the quadrants move when using ASTC?
A) Counterclockwise
B) Clockwise
C) Top to bottom
D) Left to right
  • 23. Which quadrant does the ASTC mnemonic start in?
A) 1st quadrant
B) 4th quadrant
C) 2nd quadrant
D) 3rd quadrant
  • 24. What are the angle measurements for Quadrant 1 in degrees?
A) 0 to 90 degrees
B) 180 to 270 degrees
C) 270 to 360 degrees
D) 90 to 180 degrees
  • 25. What are the angle measurements for Quadrant 1 in radians?
A) π to 3π/2 radians
B) 0 to π/2 radians
C) 3π/2 to 2π radians
D) π/2 to π radians
  • 26. Which trigonometric functions are positive in Quadrant 1?
A) Only cosine and secant
B) Only sine and cosecant
C) Only tangent and cotangent
D) All trigonometric functions
  • 27. What are the angle measurements for Quadrant 2 in degrees?
A) 270 to 360 degrees
B) 90 to 180 degrees
C) 180 to 270 degrees
D) 0 to 90 degrees
  • 28. What are the angle measurements for Quadrant 2 in radians?
A) 0 to π/2 radians
B) 3π/2 to 2π radians
C) π/2 to π radians
D) π to 3π/2 radians
  • 29. Which trigonometric functions are positive in Quadrant 2?
A) Cosine and secant
B) Tangent and cotangent
C) Sine and cosecant
D) All trigonometric functions
  • 30. What are the angle measurements for Quadrant 3 in degrees?
A) 0 to 90 degrees
B) 90 to 180 degrees
C) 270 to 360 degrees
D) 180 to 270 degrees
  • 31. What are the angle measurements for Quadrant 3 in radians?
A) 0 to π/2 radians
B) π to 3π/2 radians
C) 3π/2 to 2π radians
D) π/2 to π radians
  • 32. Which trigonometric functions are positive in Quadrant 3?
A) Tangent and cotangent
B) All trigonometric functions
C) Cosine and secant
D) Sine and cosecant
  • 33. What are the angle measurements for Quadrant 4 in degrees?
A) 0 to 90 degrees
B) 180 to 270 degrees
C) 270 to 360 degrees
D) 90 to 180 degrees
  • 34. What are the angle measurements for Quadrant 4 in radians?
A) π to 3π/2 radians
B) 0 to π/2 radians
C) 3π/2 to 2π radians
D) π/2 to π radians
  • 35. Which trigonometric functions are positive in Quadrant 4?
A) Cosine and secant
B) Tangent and cotangent
C) All trigonometric functions
D) Sine and cosecant
  • 36. Which of the following is an alternative mnemonic to ASTC?
A) Angles Should Triangulate Correctly
B) Always Solve The Calculation
C) Absolute Sine Tangent Cosine
D) All Silver Tea Cups
  • 37. Which of the following is listed as an alternative ASTC mnemonic involving public transit?
A) Angles Start To Calculate
B) Always Stop Traffic Continuously
C) All Trains Take Curves
D) All Stations To Central
  • 38. Which alternative mnemonic mentions feline pets?
A) A Smart Trig Class
B) All Silver Tea Cups
C) All Silly Tom Cats
D) All Students Trust Cambridge
  • 39. Which mnemonic includes the addition of coffee?
A) All Schools Torture Children
B) All Stations To Central
C) Add Sugar To Coffee
D) Awful Stinky Trig Course
  • 40. Which alternative mnemonic states that teachers are crazy?
A) Awful Stinky Trig Course
B) A Smart Trig Class
C) All Schools Torture Children
D) All Science Teachers (are) Crazy
  • 41. Which alternative mnemonic mentions a university in England?
A) All Students Trust Cambridge
B) All Silver Tea Cups
C) All Silly Tom Cats
D) Add Sugar To Coffee
  • 42. What disadvantage do the ACTS and CAST laws share?
A) They can only be used in right-angled triangles
B) Not going sequentially from quadrants 1 to 4 and not reinforcing quadrant numbering
C) They do not mention sine or cosine at all
D) They only work for negative angles in radians
  • 43. Which quadrant does the CAST law start in?
A) Quadrant 3
B) Quadrant 4
C) Quadrant 1
D) Quadrant 2
  • 44. What is the order of quadrants visited when using the CAST law?
A) 1, 4, 3, then 2
B) 4, 3, 2, then 1
C) 1, 2, 3, then 4
D) 4, 1, 2, then 3
  • 45. In what direction does the ACTS law go?
A) Clockwise
B) Counterclockwise
C) Diagonally
D) Up and down
  • 46. Which quadrant does the ACTS law start in?
A) Quadrant 2
B) Quadrant 4
C) Quadrant 3
D) Quadrant 1
  • 47. What is the order of quadrants visited when using the ACTS law?
A) 1, 2, 3, then 4
B) 2, 3, 4, then 1
C) 1, 4, 3, then 2
D) 4, 1, 2, then 3
  • 48. What does the 'A' in ACTS stand for in the context of quadrant mnemonics?
A) Angle
B) All
C) Adjacent
D) ACTS (as a specific named law)
  • 49. What does the 'C' in CAST stand for in the context of quadrant mnemonics?
A) CAST (as a specific named law)
B) Cosine
C) Cotangent
D) Calculus
  • 50. What geometric shape does the hexagon chart's construction resemble?
A) A honeycomb cell
B) A standard stop sign
C) A six-pointed star
D) A fallout shelter trefoil
  • 51. Where do the three triangles touch in the hexagon chart construction?
A) Along their entire edges
B) At the outer perimeter
C) They do not touch
D) At a single point
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