Identify the period for each of the following. Do not sketch the graph.           y = cos 4x

Q: Find the amplitude,period,and phase shift of each function.Graph each function.Show at least two…

A: Given: y=-23cosπx-6 On comparing the given equation with the standard equation y=Acosωx-ϕ…

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. •…

A: We have given a cosine function;

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

A: y=6cosx Let us find the points on the graph by choosing arbitrary value for x. When x=0,…

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

A: The given trigonometric function is y=cos13x.

Q: Graph the following function. What is the period of the function? y = cos TX

A: Given that  y=cos(πx)

Q: Graph each of the following over the given interval. In each case, label the axes accuratelyand…

A: Given:   y = -2 cosec 3x,   0≤x≤2π

Q: 1 One cycle of y =;sin sin 3x

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Q: Identify the period for each of the following. Do not sketch the graph.            y = sec ( 1/6 x)

A: given: y=sec16x we know that period of seckx is given by T=2πk

Q: Identify the amplitude for each of the following. Do not sketch the graph.   y = 0.5 cos x

A: If  y=acos(bx-c) then amplitude of y is a

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. y…

A:

Q: Use the graph below to answer the following 3- a) What makes this graph periodic? b) What is the…

A: A graph is periodic if there exist a t>0 such that for all values of x we have y(x) = y(x+t).…

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

A: Given: y=secπ4x we know that period of secθ is 2π similarly, period of secπ4x will be…

Q: Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

A: Given query is to find the period of the graph.

Q: Identify the period for each of the following. Do not sketch the graph.           y = cos 5x

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Q: Identify the period for each of the following. Do not sketch the graph.            y = sec (2x)

A: Given: y=sec 2x To Find: Period of the given function.

Q: у3 —2 сos cos 4x

A:

Q: Find the amplitude,period,and phase shift of each function.Graph each function.Show at least two…

A: Given: y=32 cos (6x+3π)

Q: Identify the period for each of the following. Do not sketch the graph.            y = tan ( 3pi x)

A: Given function is y=tan3πx To find: Period of given function. Solution: We know that if we have…

Q: Graph each of the following over the given interval. In each case, label the axes accuratelyand…

A: y=-tan4x,   0≤x≤π Let us find the points on the given equation. When x=0, y=-tan40=-tan0=0 When…

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

A: The given function is y=-tanx2. Sketch the graph of the above function as shown below.

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: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. R=4 cos 30

A: Test for symmetry about the x-axisf(r,θ): r=4 cos3θf(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ∴The graph…

Q: Identify the amplitude and period for each of the following. Do not sketch the graph.           y =…

A: Given: y=-10cosx10 we know that amplitude and period of given functiony=acoskx is a and 2πk…

Q: Identify the period for each of the following. Do not sketch the graph.            y = ta ( pi/4 x)

A:

Q: Sketch one complete cycle of each of the following by first graphing the appropriate sine orcosine…

A: The curve, y=cosecx+π4.

Q: Determine the period of the following trigonometric function. y = cos( 3

A: We have to determine the period of the given trigonometric function: y=cos πx3 We know the period of…

Q: Identify the period for each of the following. Do not sketch the graph.           y = sin 1/6 x

A: We know that for a function fx=AsinBx+C+D, the period of the function is 2πB.

Q: The graph shown below is one period of a function of the form  y = a sin(k(x − b)). Determine the…

A: The given function can be rewritten as y=asinkx-kb Here the a is the amplitude that is what is…

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

A: Consider the given function, y=cos3x use the form y=acosbx-c+d where, amplitude=aperiod=2πbphase…

Q: Given: y = -3 cos(2x + T) Find the following. (If there is no

A: To find the amplitude, period, phase shift, vertical shift, reflects

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: Identify the period for each of the following. Do not sketch the graph.            y = cosec ( pi/3…

A:

Q: Identify the amplitude and period for each of the following. Do not sketch the graph.           y =…

A: Given: y=-5cosπ5 We know that given function is a constant function So, amplitudeA of given function…

Q: Identify the period for each of the following. Do not sketch the graph.           y = sin 1/3 x

A: Given function - y = sin13xComparing this with the general equation of sin - y = Asin(kx)+bwhere,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: Identify the amplitude and period for each of the following. Do not sketch the graph.           y =…

A: Given that y=13 sin 3x Standard form: y=A sinBx Amplitude: A Period=2πB

Q: Graph the following function: cos(x-pi/2) +1. What is the period of the function? How do you know?

A:

Q: Graph each of the following.   y = cos -1  x

A: Our Aim is to graph the following function given below:-y=cos-1 (x) -(i) x cos^-1 (x) -2…

Q: Sketch one complete cycle of each of the following by first graphing the appropriate sine orcosine…

A: y=3cosec2x-π3 Now the graph of y=3sin2x-π3 is,

Q: Identify the period for each of the following. Do not sketch the graph.            y = cot ( 1/2 x)

A: y=cot12x Comparing with y=cotbx, we get b=12

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

A: Giveny=Sin12x.Need to graph it.

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

A: The given function of the curve is, y=-3cosx If the basic function is y=cosx. When a function is…

Q: Sketch one complete cycle of each of the following by first graphing the appropriate sine orcosine…

A: Given the curve y = sec  ( x+ pi/4 ). We need to sketch the curve of one complete cycle of the…

Q: Identify the period for each of the following. Do not sketch the graph.            y = cot (3x)

A: In general  period of cot (ax) is πa

Q: Identify the period for each of the following. Do not sketch the graph.            y = cosec (pi x)

A: Given:         y=cosecπx Periodicity of a.cosecbx+c+d=Periodicity of cosec xb

Q: 2. Find the period of the graph y = tan (2x –-). %D

A:

Q: Graph one period of the given function. y= sin (x-x) ..... Choose the graph of y= sin (x- x). O A. O…

A: Given that: y=sin(x-π)

Q: The graph shown below is one period of a function of the form y = a sin(k(x – b)). Determine the…

A: Find an equation for y ?       y = a*Sin(K(x-b)) where a = amplitude of wave           K(x-b) =…

Q: Identify the period for each of the following. Do not sketch the graph.           y = cos 2 pi x

A: As we know the period of cosax+b is 2πa. Therefore, period of y=cos2πx is 2π2π=1.