Questions on Graphs of Trigonometric Functions

Multiple choice questions on the properties of the graphs of trigonometric functions with answers at the bottom of the page.

  1. Question What is the period of the graph shown below?

    graph trig function question 1

    a) π/3
    b) 5 π/3
    c) 2 π/3
    d) 2 π


  2. Question Which of the functions below represents the graph below?

    graph trig function questions 2

    a) y = - cos(2x)
    b) y = cos(2x)
    c) y = - cos(x)
    d) y = cos(x)


  3. Question Which of the trigonometric functions correspond to the graph shown below?

    graph trig function questions 3

    a) 2 sin(x / 4)
    b) 2 cos(4x)
    c) 2 cos(x / 4)
    d) 2 sin(4x)


  4. Question Which of the functions below correspond to the given graph?

    graph trig function questions 4

    a) y = - sin(2πx)
    b) y = sin(2πx)
    c) y = cos(2πx)
    d) y = - sin(x)


  5. Question What is the period of the graph below?

    graph trig function questions 5

    a) 1
    b) 2
    c) π
    d) 2 π


  6. Question Find an appropriate function for the following graph:

    graph trig function questions 6

    a) y = 0.5 cos (4πx)
    b) y = 0.5 sin (x/4)
    c) y = 0.5 sin (4x)
    d) y = 0.5 cos (4x)


  7. Question Which of the functions below correspond to the given graph?

    graph trig function questions 7

    a) y = sin(x / 2 - 1/4)
    b) y = sin(πx / 2 - π/4)
    c) y = cos(πx / 2 - π/4)
    d) y = sin(πx / 2)


  8. Question What is the period of the graph below?

    graph trig function questions 8

    a) 5π/4
    b) π/4
    c) π
    d) 2 π


ANSWERS
  1. d)
  2. c)
  3. c)
  4. a)
  5. b)
  6. c)
  7. b)
  8. d)






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