Sinusoidal Modeling Quiz

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 Keith Foster
Keith Foster, Quiz Creator
Keith is a dedicated member of ProProfs.com, specializing in creating engaging and diverse quizzes. His passion for knowledge and creativity drives him to develop captivating and enjoyable content. Keith's commitment to high-quality standards and innovative ideas ensures his quizzes are informative and entertaining for a wide audience.
Quizzes Created: 1110 | Total Attempts: 2,040,137
Questions: 10 | Attempts: 123

SettingsSettingsSettings
Sinusoidal Modeling Quiz - Quiz

What do you know about sinusoidal modeling in math? Are you ready to take this sinusoidal modeling quiz? A sine wave, sinusoidal wave, or you can say just sinusoid, is known as a mathematical curve that is defined in terms of the sine trigonometric function, of which it is the graph. So, we have designed a few questions for your practice. Let's see if you can pass this quiz. All the best to you.


Questions and Answers
  • 1. 

    The equation of the graph is

    • A.

      Y = 3 cos x

    • B.

      Y = 4 cos x

    • C.

      Y = 6 cos x

    • D.

      Y = 5 cos x

    Correct Answer
    D. Y = 5 cos x
    Explanation
    The correct answer is y = 5 cos x because the equation y = 5 cos x represents a cosine function with an amplitude of 5, which means the graph will oscillate between -5 and 5. The cosine function has a period of 2π, so the graph will repeat itself every 2π units along the x-axis.

    Rate this question:

  • 2. 

    The amplitude of the graph is

    • A.

      3

    • B.

      6

    • C.

      9

    • D.

      12

    Correct Answer
    A. 3
    Explanation
    The amplitude of a graph refers to the maximum displacement or distance from the equilibrium position. In this case, the amplitude is given as 3, which means that the graph reaches a maximum displacement of 3 units from the equilibrium position.

    Rate this question:

  • 3. 

    The graph of cosine begins at (0,1).

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The graph of cosine begins at (0,1) because at the starting point of the graph, which is at x=0, the value of cosine is 1. As x increases or decreases from 0, the value of cosine changes accordingly, but at x=0, the value is always 1.

    Rate this question:

  • 4. 

    This graph represents ________ trig function.

    • A.

      Sec

    • B.

      Sin

    • C.

      Cos

    • D.

      None of these

    Correct Answer
    C. Cos
    Explanation
    The graph represents the cosine (cos) trigonometric function. The cosine function is a periodic function that oscillates between -1 and 1. It represents the x-coordinate of a point on the unit circle as it rotates counterclockwise. The graph of the cosine function starts at its maximum value of 1, then decreases to its minimum value of -1, and repeats this pattern indefinitely. Therefore, the correct answer is "Cos".

    Rate this question:

  • 5. 

    The equation of this graph is x=2cos2x.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The equation x=2cos2x does not represent a graph. It is not possible to have a single equation that represents a graph in this format. Typically, equations that represent graphs involve both x and y variables. Therefore, the statement is false.

    Rate this question:

  • 6. 

    This graph represents ________ trig function.

    • A.

      Cos

    • B.

      Sin

    • C.

      Sec

    • D.

      None of these

    Correct Answer
    A. Cos
    Explanation
    This graph represents the cosine (cos) trigonometric function.

    Rate this question:

  • 7. 

    This graph represents ________ trig function.

    • A.

      Sin

    • B.

      Cos

    • C.

      Sec

    • D.

      None of these

    Correct Answer
    B. Cos
    Explanation
    This graph represents the cosine (cos) trigonometric function. The cosine function is a periodic function that oscillates between -1 and 1, with a period of 2π. It is used to describe the relationship between the angles and sides of a right triangle. The graph of the cosine function starts at its maximum value of 1, decreases to its minimum value of -1, and then repeats this pattern indefinitely.

    Rate this question:

  • 8. 

    The period of y=4cos5x 2π/5

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The given equation is in the form y = A*cos(Bx + C), where A = 4, B = 5, and C = 2π/5. The period of a cosine function is given by 2π/B. Therefore, the period of y = 4cos5x is 2π/5. Since the given equation has an additional term of 2π/5, the period is still 2π/5. Hence, the answer is True.

    Rate this question:

  • 9. 

    The equation of this graph is y=2sin2x.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The equation y=2sin2x represents a sinusoidal function with an amplitude of 2 and a period of π. The coefficient of 2 in front of sin(2x) stretches the graph vertically by a factor of 2. Therefore, the given graph is indeed represented by the equation y=2sin2x.

    Rate this question:

  • 10. 

    This graph represents ________ trig function.

    • A.

      Sec

    • B.

      Cos

    • C.

      Both A & B

    • D.

      Sin

    Correct Answer
    D. Sin
    Explanation
    The graph represents the sine trigonometric function. This can be determined by observing the shape of the graph, which exhibits the characteristic wave-like pattern of the sine function. The sine function represents the ratio of the length of the side opposite to an angle in a right triangle to the length of the hypotenuse.

    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
  • Aug 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 31, 2022
    Quiz Created by
    Keith Foster
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.