Graphs Of Trigonometric Functions Assessment Test

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  • 1/10 Questions

     Any fraction with 0 in the denominator is

    • Undefined
    • Negative
    • Positive
    • Real
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About This Quiz

Are you good at solving advanced-level trigonometric problems? With the graphs of the trigonometric functions assessment test, you check how well you know about these functions. Take our assessment test focusing on trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent), the $x$-axis, values of angles, the $y$-axis, and the value of the function at each given angle. Go ahead, and pick your answers to show your understanding of trigonometric functions. All the best! Share the quiz with others who wish to practice graphs of trigonometry.

Graphs Of Trigonometric Functions Assessment Test - Quiz

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  • 2. 
    The cosine curve on the graph is in what shape? - ProProfs

    The cosine curve on the graph is in what shape?

    • Sinusoidal wave

    • Slope

    • J

    • S

    Correct Answer
    A. Sinusoidal wave
    Explanation
    The correct answer is "Sinusoidal wave" because a cosine curve is a type of sinusoidal wave. A sinusoidal wave is a wave that has the same shape as a sine or cosine function, which is a smooth, periodic oscillation. The cosine function specifically represents the x-coordinate of a point on the unit circle as it rotates counterclockwise. Therefore, the cosine curve on the graph is in the shape of a sinusoidal wave.

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  • 3. 
    The product of the length of the opposite side and the length of the hypotenuse is - ProProfs

    The product of the length of the opposite side and the length of the hypotenuse is

    • Hypotenuse

    • Triangle

    • Graph

    • Sine of a graph

    Correct Answer
    A. Sine of a graph
    Explanation
    The product of the length of the opposite side and the length of the hypotenuse is the sine of a graph. This is because in a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Therefore, the product of these two lengths represents the sine of the angle in the graph.

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  • 4. 
    Which of the following is the reciprocal of cosine? - ProProfs

    Which of the following is the reciprocal of cosine?

    • Secant

    • Cos

    • Tancant

    • Cogent

    Correct Answer
    A. Secant
    Explanation
    The reciprocal of cosine is secant. This is because secant is defined as the reciprocal of cosine, meaning that if we take the multiplicative inverse of cosine, we get secant. In other words, if we divide 1 by cosine, we obtain secant. Therefore, secant is the correct answer.

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  • 5. 
    How many trigonometric functions are there? - ProProfs

    How many trigonometric functions are there?

    • 3

    • 4

    • 5

    • 6

    Correct Answer
    A. 6
    Explanation
    There are six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. These functions are commonly used in mathematics and physics to relate the angles of a right triangle to the lengths of its sides. Each function has a specific relationship with the angles and sides, allowing for calculations and solving various trigonometric equations.

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  • 6. 
    The length of the hypotenuse divided by the length of the opposite side is - ProProfs

    The length of the hypotenuse divided by the length of the opposite side is

    • Secant

    • Cosecant

    • Sin

    • Cos

    Correct Answer
    A. Cosecant
    Explanation
    The cosecant of an angle in a right triangle is equal to the length of the hypotenuse divided by the length of the opposite side. In this question, the length of the hypotenuse divided by the length of the opposite side is the cosecant.

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  • 7. 
    The product of the length of the opposite side and the length of the adjacent side is - ProProfs

    The product of the length of the opposite side and the length of the adjacent side is

    • Cosec

    • Cos of triangle

    • Tangent of the angle

    • Sine

    Correct Answer
    A. Tangent of the angle
    Explanation
    The product of the length of the opposite side and the length of the adjacent side is equal to the tangent of the angle. This relationship is derived from the trigonometric function called tangent, which is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. Therefore, the correct answer is "Tangent of the angle."

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  • 8. 
    The set of all points in the plane of the form (x, f(x)) is - ProProfs

    The set of all points in the plane of the form (x, f(x)) is

    • Graph of a function

    • Function trig

    • Trig

    • Coordinates

    Correct Answer
    A. Graph of a function
    Explanation
    The set of all points in the plane of the form (x, f(x)) represents the graph of a function. In a graph of a function, each value of x corresponds to a unique value of f(x), meaning that for every x-coordinate, there is only one y-coordinate. This distinguishes it from other options such as "Function trig" or "Trig," which do not specify the uniqueness of the y-coordinate for each x-coordinate. "Coordinates" is a general term that can refer to any set of points in a plane, whereas "Graph of a function" specifically describes the relationship between x and f(x) in the given set of points.

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  • 9. 
    What can be used to find the length of a side or the size of an angle? - ProProfs

    What can be used to find the length of a side or the size of an angle?

    • Cosine rule

    • Sine rule

    • Tangent rule 

    • Cosec rule

    Correct Answer
    A. Cosine rule
    Explanation
    The cosine rule can be used to find the length of a side or the size of an angle in a triangle. It states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them. Therefore, by rearranging the formula, we can solve for the length of a side or the size of an angle in a triangle using the cosine rule.

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  • 10. 
    Any place on the cosine graph where the value is 0 creates - ProProfs

    Any place on the cosine graph where the value is 0 creates

    • Graph

    • Slope

    • Curve

    • Asymptote

    Correct Answer
    A. Asymptote
    Explanation
    The cosine graph is a periodic function that oscillates between 1 and -1. The value of 0 occurs at the x-intercepts of the graph, which are evenly spaced along the x-axis. At these points, the graph touches the x-axis but does not cross it, creating a horizontal line. This type of line is called an asymptote, as it represents a value that the function approaches but never reaches. Therefore, any place on the cosine graph where the value is 0 creates an asymptote.

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  • Current Version
  • Aug 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 19, 2017
    Quiz Created by
    Cripstwick
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