What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

Q: r = -4 sin 0,

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Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: 5. Convert the polar equation to a rectangular equation. r = -2 sin 0

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Q: Sketch the polar curve r = cos(20) COS

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Q: the polar equation to rectangular Coordin r = 8 cos(0)

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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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: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: What is the graph of the polar coordinate equation r = 2 cos 0 + 4 sin 0

A: According to the given information, it is required to draw the graph of the given polar coordinate…

Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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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: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: Find the polar equations of ALL the tangent lines to r = sin (30) at the origin.

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Q: r = 4 cos 20 r = 3 +3 cos 0 Option 1 Option 2 r = 2 sin 20 r = 5 sin 50

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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: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

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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: 4 Convert the equation from polar to cartesian. r = 3 – 2 sin 0

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Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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

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Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

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

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: 3. Justify your answer to part 2 by converting polar equation to rectangular equation. =2/sin 0 t /…

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Q: Which of the following polar equations represents a cardiod or heart- shaped curve? r = 4 cos 20…

A: Here given polar equations  r= 4 cos 2θ ......(1) r= 3+3 cos θ .......(2), r= 2 cos 2θ .......(3) r=…

Q: Replace the Cartesian equation with an equivalent polar equation. x2-y2=4 O cos2e - sin20 = 4 O r…

A: 1. x2-y2=42. r2=26r cosθ-6r sinθ-9

Q: Find the equation of the tangent line to the polar curve r = 3 + 8 sin θ at θ = π/6. Note that…

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Q: Q4: Replace the following polar equations by equivalent Cartesian equations 1- r sin 0 -1 2- r= - 3…

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Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Find the length of the curve over the given interval.                                     Polar…

A: Given: rθ=5cosθ; θ∈π2,π we know that arc lengthL for any given functionfx over interval a,b is given…

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

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

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Q: Find the exact length of the polar curve. 3 sin(0), 0 < 0< 1/2

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Q: The Cartesian equation xy=1 is equivalent to r^a sin(2theta)=b in polar coordinates what is a+b=

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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: 1 r = sin 0-4 cos 0

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) cos(20) -…

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Q: Find the equation in xx and yy for the line tangent to the curve in polar coordinates…

A: Given that, the value of r=5+cos2θ and θ=π3. rθθ=π3=5+cos2π3=5+-12=92 Note that, the equation of the…

Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

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Q: 4. Draw the polar curve defined by r= 3 –2 cos 30.

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Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.