Graphing Trigonometric Functions Quiz! Exam

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Jhauger
J
Jhauger
Community Contributor
Quizzes Created: 1 | Total Attempts: 5,176
Questions: 10 | Attempts: 5,193

SettingsSettingsSettings
Graphing Trigonometric Functions Quiz! Exam - Quiz

Below are the graphs of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. In this quiz, you will have to identify the equation of a graphed trigonometric function. View the graph and select the correct answer. So, let's try out the quiz. All the best!


Questions and Answers
  • 1. 

    Select the equation represented by the graph below.

    • A.

      Y = cos(x)

    • B.

      Y = sin(x)

    • C.

      Y = tan(x)

    • D.

      Y = -sin(x)

    • E.

      Y = 2cos(x)

    Correct Answer
    B. Y = sin(x)
    Explanation
    The graph represents a sine function because it follows the shape of a sine wave. The graph starts at the origin, reaches a maximum point at π/2, then decreases to a minimum point at π, and continues to repeat this pattern. Therefore, the equation that best matches the graph is y = sin(x).

    Rate this question:

  • 2. 

    Select the equation represented by the graph below.

    • A.

      Y = cos(x)

    • B.

      Y = sin(x)

    • C.

      Y = tan(x)

    • D.

      Y = -sin(x)

    • E.

      Y = 2cos(x)

    Correct Answer
    D. Y = -sin(x)
    Explanation
    The graph represents a wave-like pattern that starts at the origin and oscillates between positive and negative values. This is characteristic of the sine function. Among the given options, the equation y = -sin(x) is the only one that matches this pattern.

    Rate this question:

  • 3. 

    Select the equation represented by the graph below.

    • A.

      Y = cos(x)

    • B.

      Y = sin(x)

    • C.

      Y = tan(x)

    • D.

      Y = -sin(x)

    • E.

      Y = 2cos(x)

    Correct Answer
    A. Y = cos(x)
    Explanation
    The graph represents a cosine function because it follows the shape of a cosine wave. The graph starts at the maximum point, then decreases to the minimum point, and continues to repeat this pattern. This is characteristic of a cosine function.

    Rate this question:

  • 4. 

    Select the equation represented by the graph below.

    • A.

      Y = .5cos(x)

    • B.

      Y = sec(x)

    • C.

      Y = csc(x)

    • D.

      Y = 2sin(x)

    • E.

      Y = -cos(x)

    Correct Answer
    E. Y = -cos(x)
    Explanation
    The graph represents a cosine function with a negative amplitude. The equation y = -cos(x) matches this graph because it is a cosine function with a negative coefficient, which reflects the graph across the x-axis.

    Rate this question:

  • 5. 

    Select the equation represented by the graph below.

    • A.

      Y = sec(x)

    • B.

      Y = tan(x)

    • C.

      Y = -csc(x)

    • D.

      Y = cot(x)

    • E.

      Y = sin(x)

    Correct Answer
    A. Y = sec(x)
    Explanation
    The graph represents the secant function, which is the reciprocal of the cosine function. The graph has a repeating pattern of peaks and valleys, with asymptotes at the points where the cosine function equals zero. This matches the characteristics of the secant function, making it the correct answer.

    Rate this question:

  • 6. 

    Select the equation represented by the graph below.

    • A.

      Y = sec(x)

    • B.

      Y = tan(x)

    • C.

      Y = -csc(x)

    • D.

      Y = cot(x)

    • E.

      Y = sin(x)

    Correct Answer
    C. Y = -csc(x)
    Explanation
    The graph shown represents the function y = -csc(x). This can be determined by observing the shape of the graph, which resembles the graph of the cosecant function. Additionally, the negative sign indicates that the graph is reflected across the x-axis, which is consistent with the graph shown.

    Rate this question:

  • 7. 

    Select the equation represented by the graph below.

    • A.

      Y = -tan(x)

    • B.

      Y = sec(x)

    • C.

      Y = 2sin(x)

    • D.

      Y = -csc(x)

    • E.

      Y = cot(x)

    Correct Answer
    E. Y = cot(x)
    Explanation
    The graph represents a periodic function that starts at positive infinity and approaches negative infinity as x approaches pi/2. This behavior is consistent with the graph of y = cot(x), which is the reciprocal of the tangent function. Therefore, the correct equation represented by the graph is y = cot(x).

    Rate this question:

  • 8. 

    Select the equation represented by the graph below.

    • A.

      Y = .5cos(x)

    • B.

      Y = 2sin(x)

    • C.

      Y = 2cos(x)

    • D.

      Y = .5sin(x)

    • E.

      Y = sin(x)

    Correct Answer
    B. Y = 2sin(x)
    Explanation
    The graph shown in the question represents a sine wave that has been stretched vertically by a factor of 2. The equation y = 2sin(x) is the only option that matches this graph, as it represents a sine wave with an amplitude of 2. The other equations either have different amplitudes or represent cosine waves instead of sine waves.

    Rate this question:

  • 9. 

    Select the equation represented by the graph below.

    • A.

      Y = .5cos(x)

    • B.

      Y = 2sin(x)

    • C.

      Y = 2cos(x)

    • D.

      Y = .5sin(x)

    • E.

      Y = sin(x)

    Correct Answer
    A. Y = .5cos(x)
    Explanation
    The graph represents a cosine function with a maximum amplitude of 0.5. The other options, y = 2sin(x), y = 2cos(x), y = .5sin(x), and y = sin(x), have amplitudes greater than 0.5, which do not match the graph. Therefore, the correct equation is y = 0.5cos(x).

    Rate this question:

  • 10. 

    Any situation that can be modeled with a sine function can also be modeled with a cosine function.

    • A.

      True 

    • B.

      False

    Correct Answer
    A. True 
    Explanation
    The statement is true because the sine and cosine functions are closely related. They have the same shape and period, but they are shifted by a phase difference of 90 degrees. This means that any function that can be represented by a sine function can also be represented by a cosine function by adjusting the phase shift.

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 22, 2022
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 07, 2007
    Quiz Created by
    Jhauger
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.