Sketch the graphs of the equations r = 2/2 + cos θ  and r = 2/2 + sin θ What is the relationship between these graphs? What is the eccentricity of each graph?

Q: Find a possible formula for the sinusoidal graph given. The term 'sinusoidal' refers to either sine…

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Q: Find the amplitude, domain, range, horizontal shift, period, and vertical shift of the following and…

A: Explanation of the answer is as follows

Q: Find a Cartesian equation for the curve and identify it. 12 cos(20) = 1

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Q: QUESTION 1 Find an equation for the graph. 十 y 3 sin %3D Oy32 sin (3x) Oy33 sin (2x) y 2 sin (+)

A: Given: In the above figure, the amplitude is 2. So, there are two possible equations.

Q: What shape does the graph of r = 1+2 cos 0 take? Circle Cardioid Lemniscate Rose Leaf Curve O…

A: Given: r=1+2cosθ To determine: The shape of the graph of the given function.

Q: Sketch the cosine graph that satisfies the following properties: period is 8, amplitude is 2,…

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Q: Sketch one period of the graph using mapping notation given the equation: y = −2 cos (2x −π/3) − 1

A: Topic:- function

Q: Find a Cartesian equation for the curve and identify it. ² cos(20) = 1

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Q: The graph of the equation ? = 2 sin(2?) is called a four-leafed rose. Convert the equation to…

A: Consider the following equation in polar form r=2sin2θ Substitute the value of θ=0, π4, 3π4, 5π4,…

Q: Determine the exact coordinate of a point at a distance of 4 units from the origin in the second…

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Q: 1. If the platform has been turning for 25 seconds, it has moved through an angle of 225° and is in…

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Q: Use a calculator to find the length of the curve correct to four decimal places. If necessary, graph…

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Q: Graph this including the one period:  y=-3sin(6x+pi)

A: The given function is y=-3sin6x+π. Amplitude is 3. Period is 2π6=π3. Now use the above information…

Q: у3 —2 сos cos 4x

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Q: Determine the quadrant in which the terminal side of 0 lies. (a) sin 0 0 (Choose one) ▼ (b) cos 0 >…

A: [a] As we know that Sinθ < 0 in third and fourth quadrant                      ......[1]andCosθ…

Q: graph y=2cos (x+?) find exact values of, a) cos (arcsin 5/13) b) tan (arcsin (-3/4)

A: Given information:The given expression is as shown below:a) cos (arcsin 5/13)b) tan (arcsin (-3/4)

Q: Sketch one complete cycle of the following by first graphing the appropriate sine or cosine curve…

A: Given :- One complete cycle of the following by graphing the appropriate sine or cosine curve and…

Q: Match each graph with its equation r 2 sin(30) r= -2 cos(30) r = 2 cos(38) r= -2 sin(30)

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Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: Assume the general equation for curve to be as cosine function.  y=acoskx-b Now, calculate the…

Q: Graph r = 9 cos(20) below. The graph must be very accurate. Label lots of points (at least 10) with…

A: We need to graph r=9 cos(2θ)  We need to graph the curve using labelling of points. Here we will…

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: a- Graph (=2 sin 30 b- Find the acea inside the curve.

A: We have to graph the curve and area inside the curve.

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: given: the graph of one complete period of a sine or cosine curve.

Q: 12. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function…

A: The bicycle wheel makes 7 rotations a second and has a diameter of 75cm. Then the period of the…

Q: Determine the quadrant in which the terminal side of 0 lies. (a) cos 0 > 0 and sin 0 > 0 (Choose…

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Q: Can someone help me graph these trigonometric functions, including one period?  1. y=4cos(x+pi/4)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The graph of y = sin*+ can be drawn by translating the graph of y = sinx left 5 radians. True False

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

Q: y= -2 +4 sin

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Q: The graph of y = sin(÷x+ ) can be drawn by translating the graph of y = sinx left 5 radians. True…

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

Q: graph

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Q: 1. State the period of the sine/cosine function 2. Write an equation using a sin function. 3.…

A: the given graph is: 1. State the period of the sine/cosine function 2. Write an equation using a…

Q: Find the amplitude and the period and sketch the graph of y= 1/2 sin4x

A: The function is given by y = 12sin4x To evaluate : The amplitude, the period and the graph of the…

Q: Find the exact value, in radians, of the expression cos - 1 (- 1). Use a graph to help picture the…

A: Given: cos^-1(-1)

Q: The center of an airplane propeller is 13 feet off the ground and the radius of the propeller is 3…

A: We have to find the height of tip of each propeller.

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: If y=asinkx-b or y=acoskx-b then Amplitude = a Period = 2πk  Phase shift = -b

Q: 2. Identify the locus, discuss the properties and sketch the graph of the following equations: 1- 2…

A: We have to solve given problems:

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: The general equation of a trigonometric curve is y=Asin(Bx+C)+D The graph has no phase shift as it…

Q: Write the equation of the trigonometric graph. try COS 5. 4. 3 37 2. -1 -3

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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: The graph of a sinusoidal function has a maximum point at (0,5) and then has a minimum point at…

A: Here, given that, the graph of a sinusoidal function has a maximum point at (0,5) and then has a…

Q: These questions are available for instructors to help assess if you have successfully met the…

A: Given: cosθ=13 To find: secθ Solution: We know that, secθ=1cosθ Therefore, putting the given value,…

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

A: The amplitude is the height from the center line to the peak of the graph. So, it detemines the…

Q: 1. Demonstrate how you can tell if the following graphs are symmetric across the r-axis, the y-…

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Q: Determine the quadrant in which the terminal side of 0 lies. (a) sec 0 0 (Choose one) ▼

A: NOTE: Refresh your page if you can't see any equations. . which means here both sine and cosine…

Q: Suppose an object in circular orbit stops in a 3 The terminal point is 7 position where sin(0)…

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Q: Could you please help me find the equation for this sine graph? Thank you

A: Maximum value= 4, minimum value =-2  So amplitude =(max-min)/2= (4-(-2))/2=6/2=3

Q: 5. Find the attributes of the sinusoidal graph. Provide the equation for the trigonometric function.…

A: The standard form of a sine function : where, Amplitude= A Phase Shift= C Vertical Shift= D From…

Q: I posted a photo of my hw question but it also is  Graph one period of ?=2−3cos(2?+?3)

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