The following graph shows at least one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Given graph resembles a cosine from π to 3π/4 with amplitude 5.

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Here, time period, T=2π9 ∴ Frequency in Hz, f = 1T=92π

Q: Graph one complete cycle of each of the following. In each case, label the axes accurately.   y = 4…

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Consider the given graph. The given graph is similar to graph of sine function. Hence, the equation…

Q: Graph one complete cycle for each of the following. In each case, label the axes accuratelyand state…

A: Given function y=2 tan 3x The period of the tan x function is π. To find the period of the given…

Q: The graph below shows at least one complete cycle of the graph of an equation containing a…

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Consider the given figure. Maximum value of the function is 6 And minimum value of the function is…

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: The given function is y=-2+2sin4x. Note that maximum value of the above function is 0  and  minimum…

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: If y=AsinB(x+C)+D, then Amplitude = A Period = 2πB

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Trigonometric function from graph

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Given,  The graph of the function  We have to write the equation of the graph.

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: From the given graph, the function attains the maximum at x = 6 and minimum at x = –6, and the x…

Q: у3 —2 сos cos 4x

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: The given graph looks like a graph of cosine function with amplitude of 5 and period of 2π3.

Q: Find the period and amplitude of this function. y=-3sin(2x+pi/2) and graph one cycle.

A: Given, y =-3 sin2x+π2   We have to find the period and amplitude of the function.

Q: 6. y = T sin 2r

A: Given: y= π sin 2x

Q: Give the amplitude and period of each of the following graphs:

A: The following graph:

Q: Which graph represents the trigonometric function given below?

A: The all graphs represents some specific trigonometric functions. For a particular graph, a function…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Consider the given graph. The given graph is similar to graph of sine function. Hence, the equation…

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: Given that, The function y=12cos(x). The general form of the cosine function is y = A cos(Bx -C) +D,…

Q: The graph below shows at least one complete cycle of the graph of an equation containing a…

A: Given the graph of trigonometric function We need to find an equation that match with the given…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A:

Q: The graph of y=tan(4x) is shown below. What is the period of the function?

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Given that: Graph of y-

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: The general form of a sinusoidal function is, y=a sinbx+c+d                  ........1 where, a is…

Q: 7. y =c cos 3Tx

A: Given: A function is,       y=12cos3πx Objective is to draw the one cycle of given trigonometric…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A:

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: We have to graph one complete cycle of the function y=sinπ2x and then to find period. Standard…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: the above sequence is sinusoidal function with a phase lead of πy=Am sin(2πT0x+π)+4where T0 =2 T0…

Q: Determine a sine function and a cosine function for the graph below. 12

A: We have to determine a sine function and a cosine function for the given graph.

Q: Determine the period of the following graph. 2 1

A:

Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: Consider the given: Period is the distance between two consecutive maximum points, or two…

Q: ............ The following graph shows at least one complete cycle of the graph of an equation…

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: The equation Y=Asin(Bx+D)+C.

Q: Write the equation of a sine or cosine function to describe the graph. OsinO OcosO D=0

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: We need to find the equation of the trigonometric function using the given graph.

Q: 2.) y = -2 sin(4r)

A:

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: the function has amplitude = 6 period = pi - pi/3 = 2pi/3

Q: Graph one complete cycle of each of the following. In each case, label the axes accurately…

A: The given function is y=3+2sinx2-π2. Sketch the graph of the above function as shown below.

Q: Sketch the graphs for each of the following. Make sure to label the axises through one whole cycle…

A: Given: y = 3sin ( πx )   To determine: graph of y through one cycle.

Q: The graph below shows at least one complete cycle of the graph of an equation containing a…

A:

Q: Graph cycle of y = 3 cos ( 2x 1. Clearly label start and end values. one

A:

Q: Graph one complete cycle of each of the following. In each case, label the axes accurately.   y = -…

A: Given:  y=-14 tan xThe one complete cycle is…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: To find the equation of the given graph.

Q: Given the graph attached, write the equation of a negative sine graph.

A: Given,

Q: Graph one complete cycle for each of the following. In each case, label the axes so that…

A: We know that, for a sine function y=AsinBX+C+D The amplitude of a sine wave is the vertical…

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A: Y = A sin(B(x-D)) + C A is Amplitude which is half the distance between the maximum and minimum. B…

Q: The graph below shows at least one complete cycle of the graph of an equation containing a…

A:

Q: Graph one complete cycle for each of the following. In each case, label the axes so that…

A: In the cosine function y=a cosbx Its amplitude is given by: Amplitude =a Its period is given by:…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.