Consider the function y = 2 cos 4 x + 1 for {x|0°  x  360°} Describe the graph by stating the amplitude, equation of the midline, range, period and any horizontal translation of y = cos x Confirm your description using graphing technology

Q: 17. (sin x) y' y cos x - sin 2x, y(π/2) = 2.

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Q: 23 COS TC 12

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Q: A rocket rising straight up into the air is being tracked by a radar station located 20 miles from…

A: Given Data: The distance between the radar station and the point of the rocket on the ground is:…

Q: Solve, a. Graph y = -3 cos x/2 for -π ≤ x ≤ 5π. b. Consider the reciprocal function of y = -3 cos…

A: Given function is Reciprocal function is

Q: Draw the function y 3 csc-1 by drawing y 3 sin-1 making a table for x+1 the domain, range and state…

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Q: Find the solutions of the equation in the interval [-27, 21]. Use a graphing utility to verify your…

A: Explanation of the answer is as follows

Q: Graph one complete cycle of y= 4 * tan x. Label the axes accurately. ​

A: Since, the period of tanx is π, so for one complete cycle we need to draw the graph between 0 to π.…

Q: 6. List 5 similarities and 1 difference between the graphs of y = sinx and y = cosx. Similarities…

A: We have to Write Five similarities and one difference between the graphs of the functions y =  sinx…

Q: Suppose cosx=-1/3, 0<x<pi. Find the exact value of tan(x/2).

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Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: Explain how to sketch the graphs of y = sin(x) and y = cos(x) and explain how to find the period,…

A: Explanation and solutions is given below....

Q: Find all points (if any) of horizontal and vertical tangency to the curve                x = 5 + 3…

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Q: Sketch the function y = sin θ and its transformed graph y = −3sin (2θ) +1, 0°≤θ≤360°. State the…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: Use a graphing utility to graph y = cos x and y = 1 - x2/2 + x4/24 in a  (-π, π,π/2) by [-2, 2, 1]…

A: Turn on T1-83 calculator and set WINDOW as shown below.

Q: tan(x) = √ 3

A: Given data:     The given trigonometric equation is: tan(x)=√3.   The expression for the solution of…

Q: Find all points (if any) of horizontal and vertical tangency to the curve                 x = 4 cos2…

A: Given: x = 4 cos2 θ,  and  y = 2 sin θ  To find: All points of horizontal and vertical tangency to…

Q: The graph with the given equation y = (sin x - sin 3x)/(cos x - cos 3x) is shown in a [0, 2π, π/2]…

A: y=sinx-sin3xcosx-cos3x a). Consider, sinx-sin3xcosx-cos3x=2cosx+3x2sinx-3x2-2sinx+3x2sinx-3x2…

Q: Verify the identity algebraically. Use a graphing utility to check your result graphically.…

A: Answer

Q: How do i find the coordinates of all the points where the tangent line to the graph below, given by…

A: Given: y2+cosx=1 we have to find the coordinates of all points where the tangent line to given curve…

Q: Without drawing a graph, describe the behavior of the graph of y = cos-1 x. Mention the function’s…

A: The given function is y=cos-1x.

Q: 20. tan x = - V3

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Q: How do you graph sin(x) with a horizontal or vertical stretch, such as 2sin(4(pi/2))?

A: To draw the graph of transforms of y= sin(x)

Q: Identify the important features (axis, amplitude, period, phase shift, max value, and min value).…

A: To determine the graph of the function.

Q: Sketch the graph of the function. (Include two full periods.) - 5 cos(* + ) y = 5 cos x + Step 1 To…

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Q: Find the all solutions of this equation in the interval [0, 2π):…

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Q: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

A: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

Q: 56. cos x - sec x 57. sen x· cot x

A: We are authorized to answer three subparts at a time , since you have not mentioned which part you…

Q: Let y= 2 cos (4x-2x) + 1 Apply the technique of graphing by transformation to the the basic cosine…

A: Given: y=2 cos(4x-2π)+1  To show: The process of transformation and also apply the technique of…

Q: State the amplitude, period and phase shift, and then sketch one complete cycle of the graph. Label…

A: Compare it with  y = A.cos(Bx - C) + D

Q: For the basic sine function that "starts" at (0, 0), find the "starting point" of the graph of the…

A: The given function is y = 8 sin(3θ – π)

Q: Prove that sec2A+tan2A is equivalent to cosA+sinA/CosA-SinA Hence solve for 0 degree<=X<=360 degre…

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Q: Prove that there exists a value of x so that cos x = cos Note: While you are certainly encouraged to…

A: We will see that there exists a point x such that cosx=arccosx using the graph.

Q: Verify the identity. csc 0- sin 0= cot 0 cos 0 To verify the identity, start with the more…

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Q: Sketch the graph of the function and present your solution in the order of: (i) function, (ii) first…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Graph Newton’s serpentine, y = 4x/(x2 + 1). Then graph y = 2 sin (2 tan-1 x) in the same graphing…

A: Given functions are

Q: Graph ƒ(x) = (sin x) sinx over [0, 3pai]. Explain what you see.

A: We need to plot the graph of

Q: Graph the equation for values of x between 0° and 720° in multiples of 30°. y = 8 cos(x)

A: Graph.

Q: In proving that tan x sin x + cos x = sec x, what trigonometric relation can be applied to the left…

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Q: Sketch the graph of the function. Show complete solution on the upper half of the graphing paper…

A: f (x) = 2 cos (x-2π)        =2 cos (x)                              ∵period of cos(x) is 2π

Q: 7. Sketch the graph of x cos-1 y and determine the domain and range.

A: Since you have posted multiple of questions we will solve only first question for you. If you want a…

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

A: Given equation  y=-2cos-x2 Graph the given equation  using graphing calculator

Q: sin x + CSC X cos x 8. = 1 sec x

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Q: List 5 similarities and 1 difference between the graphs of y = sinx and y = COSK. Similarities…

A: Difference between y=sinx and y=cosx

Q: 5 cos(2x), determine its amplitude, period, and section width. Without graphing the function y =…

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Q: sin x sec X tan x

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Q: Period of y = 2 cos x COS -х 3

A: Given, y=2cos13x ∴ Frequency in radians per sec, ω=13

Q: Graphs of y = cos x and y = tan x.

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Q: Graph one complete cycle of the following. Label the axes accurately. y = −4 + 2 cos( 1/2x - ?/3 )…

A: y=-4+2cos12x-π3⇒y=2cos12x-2π3-4 Now comparing with y=acosbx-c+d, we get a=2, b=12, c=2π3, d=-4…

Q: Graph ƒ(x) = (sin x)sin x over [0, 3pai]. Explain what you see.

A: Given,