Which trigonometry functions is this a graph of?•Sin•Cos•Tan

Which trigonometry functions is this a graph of?
•Sin
•Cos
•Tan


[tex]Which trigonometry functions is this a graph of? •Sin •Cos •Tan[/tex]

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  1. #1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C.  2; 0.5; #5) A. 0.05 seconds; 4.5.

    Explanation:

    #1)  The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself.  In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4.  This means the period goes from t=0 to t=4, so it is 4.

    #2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2).  Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.

    #3) This function never repeats, so it is not periodic.

    #4) This function repeats when it reaches t=2, so 2 is the period.  The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak.  The center line would be located at about y=0.5; the peaks are at y=-1.  This means the amplitude is 0.5.

    #5) This function repeats every 0.05 seconds.  In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.

  2. mark me as brainliest

    Step-by-step explanation:

    An object moving in a circular path has velocity which is directed towards the tangent drawn at a specific point on the circle at a certain instant of time. This velocity is known as the tangential velocity. This velocity is the object’s instantaneous velocity at a particular instant of time, when the object is moving in the circular motion. The speed of the object with which it is moving on a circular path is considered as the magnitude of the tangential velocity; however its direction is along the tangent drawn at that particular point.

    Example 1: An object travels on a circular track of radius 10m. What is the tangential velocity of the object, if it takes 6secs to complete one circular rotation around the track?

    Tangential velocity, vt = (Distance travelled)/ (Time taken)

    Distance travelled on the circular track = Circumference of the circle = 2πr

    This implies: Distance, d = 2 * π * 10 = 20π meters.

    Time, t = 6secs

    Tangential velocity, vt = 20π/6 = 10.47m/sec

    Example 2: A car takes 9secs to complete one circular rotation on a circular path. What is the tangential velocity of the car, if the radius of the circular path is 8m?

    Tangential velocity, vt = (Distance travelled)/ (Time taken)

    Distance travelled on the circular track = Circumference of the circle = 2πr

    This implies: Distance, d = 2 * π * 8m = 16π meters.

    Time, t = 9secs

    Tangential velocity, vt = 16π/9 = 5.58m/sec

     

     

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