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