Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?

Q: . What happens to the graph of a trigonometric function if it has a positive phase shift?

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Q: Determine the amplitude of the following Sine graph. 2x -21

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Q: Sketch the graph of a cosine function with the following properties: Amplitude: 2 Period 3π…

A: We will make some transformation to the y=cos(x) function to meet our requires.

Q: Give an equation for a transformed sine function with an amplitude of a period of, and a vertical…

A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: Find the exact value of the expression sin[arcsin(−0.2)], if possible.

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Q: What is the period of cos(2rx)?

A: We know that the period of  cosx is 0 to 2 π Hence cos0 to cos 2π

Q: The largest possible value for the sine function and the cosine function is______ and the smallest…

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Q: The graph of y = A cos Bx has amplitude %3D and period

A: Here given as y=Acos Bx

Q: Find an equation for a sinusoidal graph

A: Given: To find an equation for a sinusoidal graph

Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of 2.

A: To findsine function that has a midline of 3 , an amplitude of 4 and a period of 27.

Q: Sketch the graph of f (x) = 2 sin (x –÷), also find the amplitude and period %3D

A: Consider the function: fx=2sinx-π2 To sketch the graph of the given function:

Q: Without drawing a graph, describe the behavior of the basic sine curve?

A: we have to determine the basic behavior of the sine curve.

Q: Which trigonometric functions have a period of pi ?

A: We can see from the graph   fundamental period of Tan X is π Tan x= Tan (x+π) = Tan (x+2π) = Tan…

Q: What is the period of the sine function?

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Q: Is the cosine function even, odd, or neither? Is its graphsymmetric? With respect to what?

A: The function is given as fx=cosx......(1)

Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Formula: Frequency=1Period. Given: Amplitude = 5 Pa Period(T) = 0.03 sec. To find: Frequency(f).

Q: Draw the sine function in graph form

A: Given, Amplitude=2 Period = 6 π Vertical shift up=2

Q: Draw graphs to show the difference in sine and cosine functions.

A: Consider the functions y=sin x  and   y=cos x. Sketch the graph of both functions as shown below.

Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: Illustrate the Graphs of the sine and cosine functions?

A: Given- Sine function and cosine function. To draw- The graph of sine function and cosine function.…

Q: Find the amplitude, period, phase shift (indicate left or right), and five key points on the graph…

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Q: What is a periodic function? Why are the sine and cosine functions periodic?

A: Periodic function is a function which repeats its value after a regular interval. If fx+T=fx then…

Q: One period of a sine or cosine function is one ________ of the sine or cosine curve.

A: To fill in the blank in the given statement, " One period of a sine or cosine function is one…

Q: what is the amplitude and period for one cycle of the following trigonometric function? please…

A: y=4cosπx+π2-1⇒y=4cosπx+12-1⇒y=4cosπx--12+-1 Now comparing with y=acosbx-c+d, we get a=4, b=π, c=-12…

Q: Find the amplitude and period of the function. cos 8x amplitude period Sketch the graph of the…

A: We need to find the amplitude and period of the following equation.

Q: Determine the amplitude and period of the following function without graphing. y= -7 cos (3x)

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Q: Find an equation for a cosine function having an amplitude of 2, period of 27, horizontal shift of 5…

A: To find an equation for a cosine function having an amplitude of 2, period of 2π, horizontal shift…

Q: What does the midline, period, amplitude, and horizontal shift of a graph represent in the real…

A: Amplitude is the vertical distance between the midline and one of the maximum or minimum points. We…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2cosx in graph…

A: The general form of cosine trigonometric function is  y=acosbx-c+d .Note the following results :…

Q: Determine the amplitude and period of y = - 2 sin (5x)without graphing.

A: A sinusoidal function is a function of the form A sin(Bx+C)+D. So a sinusoidal function is any…

Q: What is the Periodicity and Graphs of the Trigonometric Functions?

A: Periodicity of the Trigonometric Functions:                  Period is referred to as a cycle (…

Q: Write the equation of a sine function given the following characteristics: Amplitude = 3, Period =…

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Q: The graph of y = A sin Bx has amplitude =_____ and period =______.

A: We have to fill in the blanks: The graph of y=A sin Bx has amplitude =_____ and period =______. We…

Q: Choose the correct graph of the sin function from 0 to 2 ↑ if the amplitude is 1.5 and the period is…

A: We have to draw the correct graph of sin function.

Q: Is  the sine function continuous every where?

A: we know that sine function is continuous on it's domain which we can see by graph of sine function…

Q: If the sine function whose graph is the graph of y = -2 sin 2 (x – -) + 1 shifted 4. units to the…

A: To find the equation after the transformations given

Q: The graph of tan(T) is shifted right 90° and has the period increased to 360°. What is the…

A:

Q: How do you find the period for a sine function by looking at its graph?

A: Given,  The graph of sine function.

Q: The graph of the sine function illustrates how the ____________ of a point on the unitcircle varies…

A: Given  The graph of the sine function illustrates how the ____________ of a point on the unit circle…

Q: find and graph one period of the periodic sine function with amplitude 3, period pi/3, and phase…

A: The standard form of Sine function is given by, y=a(sin(b(x-h)))+k where, a is amplitude  2pi/b is…

Q: (1) Draw a careful graph of y= 3 sin (2x) +2. What are the ampli- tude, period and midline of this…

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Q: Write the equation of a negative sine equation for the graph attached.

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Q: let y= 4sin(1/2x)-2 - what is the amplitude? -What is the period?  -Has the graph been moved up…

A: Given,          y=4sin12x-2

Q: The graph of y = A cos Bx has amplitude =_______ and period =________.

A:

Q: Draw Graphs of the sine and cosine functions?

A: The graph of sine function is,

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=−1sin2x in graph…

A: To Determine :-  The trigonometric function below by fixing the Amplitude and Period in graph form :…