[
  {
    "Question": "What is the amplitude of the sine function y = 3sin(x)?",
    "Answer": "A",
    "Explanation": "The amplitude of a sine function is the coefficient in front of the sine. Here, the amplitude is 3.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "1",
    "OptionC": "0",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Amplitude of Sine Function",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "/trigonometry/amplitude"
  },
  {
    "Question": "Which of the following represents a phase shift of π/2 to the right for the cosine function?",
    "Answer": "B",
    "Explanation": "A phase shift to the right is represented by subtracting from the variable inside the function. Thus, y = cos(x - π/2) has a phase shift of π/2 to the right.",
    "PictureURL": "",
    "OptionA": "y = cos(x + π/2)",
    "OptionB": "y = cos(x - π/2)",
    "OptionC": "y = cos(x)",
    "OptionD": "y = cos(x + π)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Phase Shift of Cosine Function",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "/trigonometry/phase_shift"
  },
  {
    "Question": "What is the period of the function y = 2sin(4x)?",
    "Answer": "C",
    "Explanation": "The period of a sine function is given by the formula 2π divided by the coefficient of x. Here, the period is 2π/4 = π/2.",
    "PictureURL": "",
    "OptionA": "2π",
    "OptionB": "π",
    "OptionC": "π/2",
    "OptionD": "π/4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Period of Sine Function",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "/trigonometry/period"
  },
  {
    "Question": "What is the value of tan(π/4)?",
    "Answer": "A",
    "Explanation": "The tangent of π/4 is equal to 1, as it is the ratio of the sine and cosine at that angle.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "0",
    "OptionC": "√3",
    "OptionD": "undefined",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Value of Tangent Function",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "/trigonometry/tan_value"
  },
  {
    "Question": "Which function is the reciprocal of sin(x)?",
    "Answer": "B",
    "Explanation": "The reciprocal of sin(x) is csc(x), which is defined as 1/sin(x).",
    "PictureURL": "",
    "OptionA": "sec(x)",
    "OptionB": "csc(x)",
    "OptionC": "cot(x)",
    "OptionD": "tan(x)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Reciprocal Functions",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "/trigonometry/reciprocal"
  },
  {
    "Question": "What is the graph of y = sin(x) shifted up by 2 units?",
    "Answer": "C",
    "Explanation": "Shifting the graph of y = sin(x) up by 2 units results in the function y = sin(x) + 2.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/6/6e/Sine_shifted_up.png",
    "OptionA": "y = sin(x) - 2",
    "OptionB": "y = sin(x)",
    "OptionC": "y = sin(x) + 2",
    "OptionD": "y = sin(x + 2)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Graph of Sine Function Shifted Up",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "/trigonometry/sine_shifted_up"
  },
  {
    "Question": "What is the amplitude of the function y = -5cos(x)?",
    "Answer": "A",
    "Explanation": "The amplitude is the absolute value of the coefficient in front of the cosine function. Here, it is |-5| = 5.",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "0",
    "OptionC": "1",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Amplitude of Cosine Function",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "/trigonometry/amplitude_cosine"
  },
  {
    "Question": "Which of the following is the correct graph for y = tan(x)?",
    "Answer": "B",
    "Explanation": "The graph of y = tan(x) has vertical asymptotes at odd multiples of π/2 and is periodic with a period of π.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/0/0c/Tangent_function.svg",
    "OptionA": "Graph A",
    "OptionB": "Graph B",
    "OptionC": "Graph C",
    "OptionD": "Graph D",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Graph of Tangent Function",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "/trigonometry/tan_graph"
  },
  {
    "Question": "What is the period of the function y = 3tan(2x)?",
    "Answer": "C",
    "Explanation": "The period of the tangent function is π divided by the coefficient of x. Here, the period is π/2.",
    "PictureURL": "",
    "OptionA": "π",
    "OptionB": "2π",
    "OptionC": "π/2",
    "OptionD": "π/4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Period of Tangent Function",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "/trigonometry/tan_period"
  },
  {
    "Question": "What is the value of csc(π/6)?",
    "Answer": "B",
    "Explanation": "The cosecant function is the reciprocal of the sine function. Since sin(π/6) = 1/2, csc(π/6) = 1/(1/2) = 2.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "2",
    "OptionC": "√3",
    "OptionD": "undefined",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Value of Cosecant Function",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "/trigonometry/csc_value"
  },
  {
    "Question": "Which of the following represents a vertical shift of 3 units down for the sine function?",
    "Answer": "A",
    "Explanation": "A vertical shift down is represented by subtracting from the function. Thus, y = sin(x) - 3 represents a shift of 3 units down.",
    "PictureURL": "",
    "OptionA": "y = sin(x) - 3",
    "OptionB": "y = sin(x) + 3",
    "OptionC": "y = sin(x)",
    "OptionD": "y = sin(x - 3)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Vertical Shift of Sine Function",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "/trigonometry/vertical_shift"
  },
  {
    "Question": "What is the value of sec(0)?",
    "Answer": "A",
    "Explanation": "The secant function is the reciprocal of the cosine function. Since cos(0) = 1, sec(0) = 1/1 = 1.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "0",
    "OptionC": "undefined",
    "OptionD": "2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Value of Secant Function",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "/trigonometry/sec_value"
  },
  {
    "Question": "What is the graph of y = -cos(x)?",
    "Answer": "C",
    "Explanation": "The graph of y = -cos(x) is a reflection of the cosine graph across the x-axis.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/4/4f/Negative_cosine_function.svg",
    "OptionA": "Graph A",
    "OptionB": "Graph B",
    "OptionC": "Graph C",
    "OptionD": "Graph D",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Graph of Negative Cosine Function",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "/trigonometry/negative_cosine"
  },
  {
    "Question": "What is the value of cot(π/3)?",
    "Answer": "B",
    "Explanation": "The cotangent function is the reciprocal of the tangent function. Since tan(π/3) = √3, cot(π/3) = 1/√3.",
    "PictureURL": "",
    "OptionA": "√3",
    "OptionB": "1/√3",
    "OptionC": "0",
    "OptionD": "undefined",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Value of Cotangent Function",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "/trigonometry/cot_value"
  },
  {
    "Question": "What is the amplitude of the function y = 4sin(3x)?",
    "Answer": "A",
    "Explanation": "The amplitude is the coefficient in front of the sine function. Here, it is 4.",
    "PictureURL": "",
    "OptionA": "4",
    "OptionB": "3",
    "OptionC": "1",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Trigonometric Functions Practice Test",
    "Content Type": "Mathematics",
    "Title": "Amplitude of Sine Function",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "/trigonometry/amplitude_sine"
  }
]