In Exercises 43-52, determine the amplitude, period, and phase shift of each function. Then graph one period of the function. 43. y = cos(x 44. y = cosx + 2. - 45. y = 3 cos(2x T) 46. y = 4 cos(2x – 7) 1 47. y = cos( 3r + 1 48. y = cos(2r + 7) 49. y = -3 cos( 2x 2 50. y = -4 cos 2x 2. 51. у %3D 2 сos(2пх + 8n) 52. y = 3 cos(27x + 47)

Q: What is the phase shift of the function f(x) = sin(x+ 2)? %3D

A: For any  sinusoidal function f(x) = Asin(Bx + C)  The phase shift is  = -C/B

Q: Sketch the graph of the function. (Include two full periods.) y = −3 sin(6x + π)

A: Given: y = −3 sin(6x + π) To find: Sketch the graph of the function.

Q: 8. Sketch one period of y = -3 sin(Tx+ ). Clearly state the amplitude, period, and the phase shift.

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Q: The graph of y = A sin(Bx - C) has phase shift_______ . If this phase shift is positive, the graph…

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Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: Sketch the graph of the function. (Include two full periods.) y = 5 sin x

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Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…

A: Here is the solution

Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x --) -…

A: Graph

Q: Find the period (in degrees), amplitude, and phase shift of the equation. (Enter the smallest…

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Q: How can I write the function of cosecant with the the following give. Phase shift: pi / 8 to left…

A: Trigonometric function

Q: Sketch the graph of the function. (Include two full periods.) y = −sin 2πx/3

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Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In Exercises 101–104, use a graphing utility to graph two periods of the function. 101. y = 3 sin(2x…

A: 101- Given- y=3sin2x+π To Find- The graph of the above expression using graphing utility.

Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

Q: Sketch the graph and give its properties (PERIOD, AMPLITUDE, MINIMUM VALUE, MAXIMUM VALUE, ZEROS,…

A: The given function is y=12tan 2x. Sketch the graph of the above function as shown below.

Q: Write the equation for a cosecant function satisfying the given conditions. period: 5x; range: (-…

A: Given query is to find indicated function.

Q: 1. Sketch one cycle of the graph for the function below: f(x) = 3 sin 2x - 2 for 0 < x < 2n…

A: first we y= 3(sin2x-pie/8)-2,

Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

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Q: In Exercises 14–17, graph one period of each function. = -2em(x = }) 14. y = 3 sin 2x 15. y = -2 cos…

A: Graph shows a representation of various points with respect to a origin.  It helps to view the…

Q: graph one fundamental period of y=sec(x-pi/2)-1

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Q: In Exercises 79-80, use a vertical shift to graph one period of the function. 79. y = sin 2x + 1 80.…

A: The graph of y=A sin(Bx-C)+D is the graph of y=Asin(Bx-C) shifted vertically. The graph is shifted D…

Q: 5. y = -2 cos x - - Amplitude: Phase Shift: Period:

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Q: 6. Find an equation for each function and explain your thought process. a. A sinusoidal function…

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Q: Sketch the graph of the equation y = 3 sin(x) + 1. Show two full periods in your graph.

A: For the given Function  y = 3 sin(x/2)+1  Graph is plotted as shown below

Q: Find phase shift sin ((1)/(4)x+(\pi )/(3))

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Q: /rite the equation, in terms of sine, that has a minimum of -2, a maximum of 10, eriod of 67T, and a…

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Q: What is the phase shift of this function? y=sin(3x-15pi)

A: This question is based on Sinusoidal function.

Q: 15. What is the amplitude, period, phase shift and vertical shift of y = sin(40) + 3 A. Amplitude:…

A: Let us first understand the terms. Amplitude is height from center line to peak. Or Distance…

Q: Write a function of the form y =A cos (Bx-C)+D that has period 32, phase shift -8, and the range 3…

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Q: Write the equation of a sine function that has: an amplitude of 10, a period of 180 degrees, a phase…

A: The standard form of a sine function is y = asin[b(x−h)]+k  where a is the amplitude, = 10 2π/b is…

Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: Sketch the graph and give its properties (PERIOD, AMPLITUDE, MINIMUM VALUE, MAXIMUM VALUE, ZEROS,…

A: Given the equation: y=2sin4x

Q: Write the equation for a cosecant function satisfying the given conditions. period: 5x; range: (-∞,…

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Q: In Exercises 69–72, sketch the graph of the given function. What is the period of the function? 69.…

A: 70). y = sin(x/2)  Period : 4π

Q: # 2: Given: y = - sin ( x + 3 Find the Period: Amplitude: Phase Shift: Vertical shift:

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Q: Let fae) = 2 sin (3x -). Find the value of the phase shift. 2 sin

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Q: Determine the amplitude of y = -2 sin x. Then graph y = sin x and y = -2 sin xfor -π≤ x ≤3π.

A: We have to determine the amplitude of y=-2 sin x   We have the standard form as y = A sin(B(x + C))…

Q: A cosine function has its first maximum to the right of the y-axis at (2,5), and its first minimum…

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Q: Graph two periods of the given cosecant y = 3 csc x or secant function.

A: Given y=3 cscx

Q: Graph two full periods of the given cosecant y = 3 sec 2πx or secant function.

A: Graph two full periods of the given cosecant y = 3 sec 2πx or secant function.

Q: 5. f(x)=2 tan %3D 2- -2x 十 2x -2-

A: