Find an equation relating x and y to describe the points on the xy plane that satisfy the polar equation Theta = pi/ 6.

Q: 2. Convert the polar equation to rectangular coordinates. 1 r = 1+ sin 0

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Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: Write a polar equation of the form r sin(0 – 0,) = ro for the line 2/3 x+2y = 1. %3D

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Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: Find the Cartesian equation of the polar equation. rsin 0 = 3 4 The Cartesian equation for r sin 0 4…

A: Given polar equation is r sinθ-π4=3find the cartesian equation

Q: Transform the equation r = 6 cos θ from polar coordinates to rectangular coordinates

A: The formulae shown below shows the relationship between polar coordinates and rectangular…

Q: Convert the polar equation to rectangular form and sketch Its graph. r= 9 sin(@) y y 0.8 0.6 0.4 2…

A: Given: r=9sinθ

Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: Sketch the graph of the polar equation.r = 3(1 + cos θ)

A: To sketch the graph of r=3(1+cos θ), use Desmos graphing calculator and label the axes.

Q: Find a polar equation in the form r cos (0 - 0) = ro for the line x = - 12.

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Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (-V2, 5x/4)…

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

Q: Find the analogous polar equation for horizontal lines in the xy-plane.

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Q: Convert the polar equation 4 cos 0 to Cartesian coordinates. Describe the curve. r =

A: We will convert the given polar equation into cartesian curve.

Q: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. (x-14) + y² =…

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Q: Calculate the length of the polar curve r=1-sinθ on the given interval (0,2π).

A: In the given question we have to find the length of the polar curve on the interval . Concept:…

Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: Sketch a graph of the polar equation r = 4 sin 3θ  and find the tangent lines at the pole.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 3 (Type an…

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Q: Sketch a graph of the polar equation r = 3 sin 2 and find the tangent line(s) at the pole (if any).

A: We have to sketch a graph of the polar equation r=3sin2θand then we have to find the tangent line(s)…

Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: snip

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Q: Sketch the polar curve with the given equation = -3 cos 0,

A: Polar equation r= -3 cosθ , -π≤θ≤π

Q: Write the equations that are used to express a point withCartesian coordinates (x, y) in polar…

A: To convert Cartesian coordinates x,y in polar coordinates. In polar coordinates point is given r,θ.…

Q: Given polar equation is r= 1- cos 0

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Q: Sketch the graph of the polar equation.r = 2(1 + sin θ)

A: To find : sketch graph of  r = 2(1 + sin θ)

Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: Convert the Cartesian equation to a Polar equation. Express your answer as r = 2y –x² = 2y– 3x

A: The objective is to convert cartesian equation to polar equation.

Q: Sketch a graph of the polar equation and nd the tangents at the pole. r = 3 (1 − cosθ)

A: By using polar curve

Q: Express the polar equation r=2 sin 0 in cartesian coordirates.

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Q: Sketch the polar curve with the given equation "= -4 cos 0, - TSOST.

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Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: 1 r = sin 0-4 cos 0

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Q: A) Replace the polar equation r2 sin20 = 2 with equivalent the Cartesian equation %3D

A: Given: The polar equation r2sin2θ=2, To find: Equivalent cartesian equation.

Q: Use the Distance Formula to approximate the distance between the two points in polar coordinates. 5,…

A: We are going to solve

Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = 0

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Q: Convert the polar equation to rectangular form. 8 r = 1 - cos 0

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Q: Sketch a graph of the polar equation r = 3 cos 4θ and find the tangent lines at the pole.

A: Given: The equation r=3 cos 4θ To sketch: The graph of the given equation. To find: The tangent…

Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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Q: Transform the polar equation 0 to an equation in a and y. %3D 4

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Q: Sketch the polar graphs and find the points of intersection for the curves: r = sin(θ) and r =…

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