For the following sine functions, identify the Amplitude and Period, and write an equation for each graph. 17) Amplitude: Period: 10 Equation:

Q: Give the amplitude or period as requested, then graph them. 3) Amplitude of y = -3 sin x

A: Given equation is y=-3sinx. The amplitude of y=AsinBx-C+D is A.

Q: Use the unit circle to explain how the value of tan t varies as t increases from  pi/2 to pi

A: Construct the unit circle mark the intervals with pi/6 from pi/2 to pi.

Q: Graph the trigonometric function  Y = 5 sin X + 3    What is the range.

A: The graph of Y=5 sin X+3 is

Q: Graph the following function. What is the period of the function? y = - sin ().

A: To plot the graph of y=-sinπx3, use the transformation of trigonometric functions, and shrink the…

Q: For the following sine functions, identify the Amplitude and Period, and graph at least one cycle of…

A: We have to find amplitude and period of given function.

Q: Find the amplitude and period and sketch the graph of the equation.

A: Given y=4 sin 2x We use the form a sin (bx-c)+d to find the variables to find the amplitude and…

Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: Find the amplitude and period and sketch the graph of the equation.

A: Solution:Given y=23 sin xFormula:y=a sin (bx-c) +damptitude= aPeriod= 2πb

Q: State the following on the graph following sine functions period, amplitude, phase, shift,…

A: The general formula for a sine wave is . Here, A is the amplitude, C is the phase shift, D is the…

Q: For the function f (x) = – sin (x – #), determine its amplitude and period, and then graph it for…

A: fx=-sinx-3π4 Comparing with fx=asinbx-c, we get a=-1, b=1 & c=3π4 Therefore,…

Q: Graph the following function. What is the period of the function? y = - sin ).

A: To draw a graph of the given function y=fx input the different the values of 'x' and get the…

Q: The current, I, in amperes, flowing through an ac (alternating current) circuit at time t, in…

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Q: For the following graph, state A) the period, B) the amplitude and C) the equation of the axis.…

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Q: 1 y = 2TC sin 0 3 1 cos Oy = 2. TC 2. 6

A: Red graph is for sin function  Green graph is for cosine function

Q: Graph the trigonometric function: y = 2 cos(3x - T) Find the amplitude, the period, and the phase…

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Q: 2. Determine the equation of the following graph using (i) sine function (ii)cosine function Show…

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Q: Find the equation of a sine wave that is obtained by shifting the graph of y = sin(x) to the right 6…

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Q: Graph the following trigonometric function: y = -2 cos -4 Calculate the period and phase shift?

A: The graph of the function: y=-2coscos12x-π+4

Q: For the graph of the equation, identify the amplitude, period, phase shift, and vertical shift. Do…

A: Given,            y=-4sinπx-1+5To find : The amplitude, period, phase shift and vertical shift

Q: Find the amplitude and period and sketch the graph of the equation.

A: y=5cosx Comparing with y=acosbx, we get a=5  &  b=1 Now amplitude is, a=5=5 & period is,…

Q: GRAPH THE TRIGONOMETRIC FUNCTION USING THE AMPLITUDE, PERIOD, PHASE SHIFT, AND VERTICAL SHIFT. fy=-…

A: I am attaching image so that you understand each and every step.

Q: For this cosine function, determine the following properties (Show the solution for each): a.…

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Q: For this equation  y = 4 sin ( x-60) + 2 graph the following sine functions and state the…

A: For better understanding; 60 as π/3. y = 4 sin ( x- π/3) + 2   draw a figure to scale referring to…

Q: Use the sinusoidal function shown to complete the questions that follow: 2. 90 180 270 360 | Қа)…

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Q: For this cosine function, determine the following properties: a. principal axis  b. amplitude c.…

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Q: Provide your answer below: Amplitude is period is

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Q: Without graphing the function, determine its amplitude or period as requested. y = -2 cos x Find the…

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Q: For the equation, identify the amplitude, period, and phase shift. Then label the axes accordingly…

A: Given,  y=sin(3x+6π)∴ Amplitude = 1ω=3=>2πf=3=>f=32πT=1f=2π3∴ Period = 2π3

Q: TC 0) y32+3cos 30 + 2

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Q: Graph the following equation with all parts (in other words, transformations, impor tan t points,…

A: Given:          y=-3sin2x-π2-4 This is in the form of y=AsinBx-C+D   Here A is Amplitude =3…

Q: Use the sinusoidal function shown to complete the questions that follow: 84 4 90° 180° 270° 360° |…

A: Please refer the attached image for complete solution. THANK YOU.

Q: What is the amplitude and period of the function f() = cos(6x)? Provide your answer below: Amplitude…

A: for f(x) = Acos(bx)amplitude is given by Amplitude: Aperiod is given by   p = 2πb

Q: what is the period and the amplitude for this equation: y=6sin(2(x-7))+3

A: Period and Amplitude from the given equation is determined as follows

Q: For the following cosine functions, identify the Amplitude and Period, and write an equation for…

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Q: For questions 1 and 2 use the following equation: y=sin 8x 1. What is the period of this function?…

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Q: Find the amplitude, period, and horizontal shift of the function. y = 3 cos 3x 4

A: Given the query is to find period , amplitude and horizontal shift.

Q: For the following function, identify the amplitude, period, and horizontal shift. (If an answer does…

A: Given y = 5 sin (2x −pi/6) to find  the amplitude, period, and horizontal shift

Q: Find the amplitude and period and sketch the graph of the equation.

A: Known fact: For the function of the form y=AcosBx+D, Amplitude is A and period is 2πB.

Q: Given the following function, choose the graph with the two possible angles with the domain 0 < As…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Graph by finding the amplitude, the period, vertical translation, and any phase shift of the…

A: Given:  (1)  y=-tan2x  (2)  y=-4sinπ2x-1

Q: Graph the following and then identify the amplitude and period. y = - 4 sin(2æ), – 27 < x < 4T

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Q: What is the period for y = tan 2x?

A: We have to find the period of trigonometric function: y= tan 2x We know the period of tan x is π and…

Q: Identify the amplitude, midline, period, of the following function and then write its equation using…

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Q: .Graph one cycle for the function y = 2 sin(2x + 7). Make sure to indicate the period and phase…

A: Given: y = 2 sin2x+π2 To graph: The one cycle for the function and to indicate the period and phase…

Q: B. Sketch the graph of the following inverse trigonometric function and describe what happened to…

A: I have drawn waveform step by step in detail...hope you will get it

Q: find the period and amplitude of the function

A: We need to find period and amplitude of the function y=f(x) shown below

Q: Find the period, amplitude, phase shift and vertical shift: y=cos(2x-pi)-2

A: Given y= cos (2x-π) -2Here we find the period, amplitude,Phase shift and vertical shift.

Q: Find the amplitude and period and sketch the graph of the equation.

A: Consider the given equation y=-12cos13x   General form of the cosine function y=AcosBx+c…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: We have been given the equation  y=-2sinπ2x-π4

Q: Find the period of the function defined by the following equation, y = 2-4 cos ( 2r Choose the…

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