Rewrite the polar equation r = 5cos(@) as a Cartesian equation.

Q: Rewrite the polar equation r = 5 sin(0) as a Cartesian equation.

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Q: Convert the following polar equation to a rectangular equation. r = 2sin (0)

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Q: change the Cartesian coordinates (-1,-2) into polar coordinates

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Q: convert the cartesian equation to a polar equation x2-y2=1

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Q: convert the polar equation to a cartesian equation rcos(θ+(π/6))=1

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Q: Convert the rectangular equation 3x - y = 6  to a polar equation that expresses r in terms of θ.

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Q: Rewrite the polar equation r = 6 cos(0) as a Cartesian equation.

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Q: Convert the rectangular equation 3x − y + 2 = 0 to polar form and sketch its gr

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Q: Convert the given polar equation into a Cartesian equation. r=sinθ2cos2θ

A: By substituting sinθ = y/r and cosθ = x/r we get the required equation. Given, r=sinθ2cos2θ

Q: Convert x=6 into a polar equation

A: Convert x=6 into a polar equation

Q: Convert the rectangular equation x2 + y2 = 16 to a polar equation that expresses r in terms of θ.

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Q: Convert the rectangular equation x2 = 6y to a polar equation that expresses r in terms of θ.

A: The given equation is:

Q: Convert the polar equation r = 3 csc θ to a rectangular equation in x and y.

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Q: Convert the polar equation r = 5 to a rectangular equation in x and y.

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Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: , A) Replace the following polar equation by equivalent Cartesian equation: rcos 3

A: we have to replace the following polar equation by equivalent Cartesian equation

Q: rewrite the cartesian equation y=5x2   as a polar equation. r(theta)=

A: WE DRAW THE GRAPH

Q: Convert the rectangular equation x2 + y2 = 9 to a polar equation that expresses r in terms of θ.

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Q: Convert the polar equation r = 5 + 3 cos û to a rectangular equation.

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Q: Rewrite the polar equation r 4 sec(0) as a Cartesian equation.

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Q: Convert the polar equation to rectangular form. 4 r = - 1 - cos 0

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Q: Convert the rectangular equation 3x + y = 7 to a polar equation that expresses r in terms of θ.

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Q: Convert the polar equation to rectangular coordinates.

A: Let the rectangular coordinates be = x, yPolar coordinates = r, θThen we know the relation between…

Q: Which polar equation is represented by the figure?*

A: Solution :- this graph is  r=a sin(2theta)

Q: r = 2sec(0)tan(0)

A: Any point in the rectangular coordinate system is represented as . Any point in the polar…

Q: Convert the rectangular equation y = 3 to a polar equation that expresses r in terms of θ .

A: Given:y=3

Q: Convert the polar equation to rectangular form. r=-20costheta

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Q: 4. Rewrite the equation y =x² as a polar equation

A: Given: y=x2

Q: Rewrite the polar equation r = 2 cos(0) as a Cartesian equation.

A: The given polar equation r=2cosθ to convert this into cartesian equation let us multiply r on both…

Q: Convert the rectangular equation to polar form. Assume a > 0. x2 + y2 – 6ax %3D

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Q: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

A: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

Q: Plot the point that has the given polar coordinates. (3, =)

A: Notice that the point must be in the first quadrant as 3>0 and sinπ4=π4=12>0. Thus, the…

Q: Convert the rectangular equation x + 5y = 8 to a polar equation that expresses r in terms of θ.

A: To convert rectangular equation to polar terms: substitute x=rcosθ,y=rsinθ  in the rectangular…

Q: Convert the polar equation r=4/(1-sin(theta)) to a rectangular equation.

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Q: Convert the rectangular equation to polar form. Assume a > 0. x? + y2 – 5ax = 0

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Q: convert the polar equation into rectangular equation r=4/2-2cos theta

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Q: Convert x? + x y + y? = 6 to its equivalent polar equation.

A: Polar form

Q: Convert the polar equation to rectangular coordinates. secθ = 2

A: The answer is found in step-2

Q: Rewrite the polar equation r = 3 cos(0) as a Cartesian equation.

A: Put x= r cosθ   and y= r sin(θ) then    r2 = x2 + y2

Q: Rewrite the polar equation r = 4 cos(0) as a Cartesian equation.

A: We have to find

Q: change the Cartesian coordinates (-1,2) into polar coordinates

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Q: Rewrite the Cartesian equation y 3x2 as a polar equation.

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Q: Convert the polar equation to rectangular form. r = 1 - cos 6

A: Find rectangular form

Q: Convert the Cartesian coordinate (-2,4) to polar

A: (5)Cartesian coordinates = x, y = -2, 4Let the polar coordinates be = r, θFormula for calculating r…

Q: Convert rectangular equation (x + 1)2 + y2 = 1 to a polar equation that expresses r in terms of θ.

A: From the given data: