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

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576

A: Given: r2+2r2sinθ.cosθ=576 Solution: By taking common r2 we can write above 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 rectangular form. r = 2 csc 0

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Q: Convert each polar equation to rectangular form. 2 D=0 (a) r = 4 cos 0 + 5 sin 0 Rectangular form:|…

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Q: convert this polar equation into a cartesian equation.   r = 6 / cos ( θ ) + 7 sin ( θ )

A: Given:   r = 6 / cos ( θ ) + 7 sin ( θ )          r( cosθ + 7 sinθ)  = 6  now , her  x= r cosθ  , y…

Q: Replace the following polar equation by equivalent Cartesian equation: r * cos(theta - pi/3) = 3

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Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

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Q: Convert the following polar equation into a rectangular equation. r = 2sin0

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Q: Convert the polar equation to rectangular form 9r cos 0 + 2r sin 0 = 1

A: We will convert the polar equation into rectangular form as following.

Q: Plot the point that has the given polar coordinates.

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Q: Replace the polar equation r= 8 cos 0+6 sin 0 with an equivalent Cartesian equation. Then identify…

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Q: Convert each polar equation to a rectangular equation.

A: Given r=93-6cosθ The relation between polar coordinates and rectangular coordinates,…

Q: Find the cartesian equation for the polar curve:   r=4csc(theta) ?

A: We have the following relation between polar coordinates and Cartesian coordinates:

Q: Convert each polar equation to a rectangular equation.

A: It is known that to convert polar to rectangular coordinates, we have to use x=rcosθ,y=rsinθ here,…

Q: Graph the polar equation: r = 1 + 2 cosθ.

A: Given polar equation  r=1+2cosθ r,θ are polar coordinates. The θwill be in x-axis and r will be in…

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

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Q: Convert each polar equation to rectangular form. 5T (a) 0 = 4. %3D Rectangular form: (b) r cos0 =-2…

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Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation %3D

A: Given, The polar equation  r2sin2θ = 2    We have to write the equivalent cartesian equation.

Q: Convert each polar equation to rectangular form. (a) r = -6 cos 0 Rectangular form: 4 (b) r = 8 cos…

A: Polar to rectangular coordinate

Q: convert the polar equation to a cartesian equation r=1/(sinθ-cosθ)

A: Consider the given:      r=1sinθ−cosθrsinθ−cosθ=1rsinθ−rcosθ=1Since,x=rsinθ             y=rcosθ,

Q: 1. Plot each of the following polar coordinates:

A: Given, To plot (5,5π3) and (2,-5π4)

Q: Convert the given polar equation to a Cartesian equation. r= -6/ 2 cos(theta) + sin(theta

A: GIVEN DATA : Polar Equation : r=-62cosθ+sinθ TO FIND : Cartesian Equation of the given polar…

Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation

A: Solution   Let a general point P in polar coordinate is (r,θ) while in Cartesian it is (x,y) while…

Q: Replace the polar equation given with its equivalent Cartesian form and describe the graph. a) r…

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Q: Replace the polar equation r2 sin 20 2 with equivalent Carte sian equation

A: Given : r2sin2θ=2 We know that x=rcosθ, y=rsinθ and also sin2θ=2cosθsinθ.

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

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Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

A: We have to convert the polar equation to cartesian equation,  r = 6 sinθ

Q: Graph the polar equation. r=2+2 sine

A: We need to find several points and join them to form the graph. Also we can check Symmetry  of polar…

Q: Convert the polar equation to rectangular form. r = 5 cos θ

A: Refer to the question we need to convert the polar equation to rectangular form.

Q: convert the polar equation to a cartesian equation r2=sin2θ

A: givenr2=sin2θsince r2=x2+y2     and sinθ=yr, cosθ=xr,sin2θ=2sinθcosθreplace all these…

Q: Convert each polar equation to rectangular form. (a) r sine = -7 Rectangular form: (b) r=6…

A: To convert polar equation to rectangular form, use formula:    x = rcosθ    y = rsinθ   x2 + y2 = r2

Q: Convert the polar equation to rectangular form. 4 r = 1 + sin 0

A: Convert the polar equation to rectangular form

Q: Replace the polar equation with an equivalent Cartesian equation.  7r cos θ + 9r sin θ = 1

A: Answer is mentioned below

Q: Convert the following polar equation into a rectangular equation. If possible, write the rectangular…

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Q: Convert each polar equation to rectangular form. (a) 0 = 3 O=0 Rectangular form: 0 (b) r cos0=-6…

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Q: Use the table of values and plotting points in polar grid, graph the polar equation

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Q: Convert the equation y =-1 to polar form. Then solve the resulting equation for r. 믐 JT Osin O cot…

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Q: Change the following polar equation to rectangular form. Show work. 14. r = 3+sine

A: Explained below

Q: Convert the polar equation  r = −4 sec θ to rectangular form and sketch its graph.

A: We have the given polar coordinate r=-4secθ We know that the relation between rectangular and polar…

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

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Q: Convert the polar equation to rectangular form and sketch its graph. r = 9 sin(8)

A: Some of the basic formulas while converting polar equation to rectangular equation are: x2+y2=r2…

Q: Convert the polar equation to rectangular form: x = 6 O None of these. Or = 6 cos(0) csc(0) Or = 6…

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Q: Convert the following Polar equation to Cartesian coordinates and identify the curve. 2 r = 3 cos(0)…

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Q: Use a calculator to complete the table of coordinates. Where necessary, round to two decimal places.…

A: Complete the table: Evaluate r for given value of θ: θ r=4sin2θ 0 r=4sin0=0 π6…