Given the point (2, 150°) in polar coordinates, find a corresponding point in 14. (a) rectangular coordinates. (State exact values, not decimal approximations.) Answer: (b) Given the point (-8, – 8) in rectangular coordinates, find a corresponding point in polar coordinates. Express the angle exactly in radians. (Your angle should include Tt). Answer:

Q: Convert the polar equation to rectangular form. r = 8 1 + sin ?

A: Consider the polar equation, r=81+sinθ Convert the polar equation to rectangular form. First we…

Q: Convert the Cartesian coordinate (1,3) to polar coordinates, 0≤ 0 < 2π [= Enter exact value. 0= √10…

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

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Q: Convert the polar equation to a Cartesian equation. Then use a Cartesian coordinate system to graph…

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

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Q: Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Any point on the polar coordinate system is represented by the ordered pair: r, θ. For a equation of…

Q: Convert the polar equation to rectangular coordinates. r = 1/(sinθ-cosθ)

A: r = 1sinθ - cosθ So, rsinθ - rcosθ = 1

Q: Given the rectangular coordinates (6, −6), convert to exact polar coordinates.

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Q: Given the polar coordinates (4 , 2pi/3), convert to exact rectangular coordinates.

A: Given  polar coordinate (r,θ) = (4,2π/3) To find   Rectangular coordinate (x,y)  Method  x= r cos(θ)…

Q: Plot the polar point ( 4, 330° ). (Click on the purple dot and move it to the desired location.)

A: To plot the polar point (4,330∘).

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

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 2 = 6 sin…

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Q: For the point given in polar coordinates, state the quadrant in which the point lies if it is…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° 2 45° I 4…

A: The point is -2,-3π4

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: Convert the Cartesian coordinate (1,4) to polar coordinates, 00 < 2TT r= Enter exact value. 0 = (in…

A: topic - Cartesian coordinate to polar coordinate system

Q: Convert the Cartesian coordinate (2,6) to polar coordinates, 0 <o < 2n Enter exact value. (in…

A: Given Cartesian coordinate (2,6)  We have to convert them into Polar form

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 given polar equation by equivalent Cartesian equation i. r2 + 2r2 cos 0 sin 0 = 1. r = 4…

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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 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: 67. r² = tan 0

A: A equation in polar  coordinates (r,θ)  to rectangular (cartesian) coordinates (x,y) is done by the…

Q: Convert the Cartesian coordinate (-4,-4) to polar coordinates, 0≤ 0 < 2TT r= Enter exact value. 0 =…

A: Explanation of the answer is as follows

Q: ity A and City B are approximately a = 650 miles apart on the surface of the earth. Assuming that…

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Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: Convert (4, -3) to polar coordinates. Always choose 0 <= theta <= 2pi

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Q: Convert the following rectangular coordinates to polar coordinates. Give exact answers only, no…

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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 the Cartesian coordinate (– 5, 2) to polar coordinates, – 27 0. No decimal entries and…

A: The given point -5,2

Q: Choose point which has the correct location for the polar coordinate (-1,315°). 90° 2 45° T -7…

A: Here we will find the correct location of polar given coordinate,

Q: Convert the Cartesian coordinate (2,6) to polar coordinates, 0≤ 0 < 2TT r = Enter exact value. 0-…

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Q: Convert the Cartesian coordinate ( – 5, 2) to polar coordinates, – 27 0. No decimal entries and…

A: Cartesian coordinate(x,y) to Polar coordinate (r,θ): add 180o when the point(x,y) lies in the…

Q: Convert the Cartesian coordinate to a polar coordinate(angle is I. Radian, find exact value for the…

A: We have to find

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

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Q: Select the answer option that corresponds with polar coordinates (-1,–210\degree). 90° 2 4 -7…

A: given polar coordinate (-1, -2100)

Q: Plot the given polar point and list 3 more equivalent points. 1) (4,

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Q: 5. Convert the polar equationr= cot 0 csc 60 to rectangular form.

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: Convert the Cartesian coordinate (-4,-1) to polar coordinates, 0≤ 0 < 2 r = Enter exact value. 0 =…

A: We have to find the angle and r

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: x = 6 O None of these. Or = 6 cos(0) csc(0) Or = 6…

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Q: For the point with the given polar coordinates in determine the quadrant in which the point lies if…

A: For the point with the given polar coordinates in determine the quadrant in which the point lies if…

Q: Convert the polar equation to a rectangular equation. 9. 6- cos 0

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Q: B- Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Introduction: The intersections of a curve are mainly the point where the curve intersects the…

Q: Use your graphing calculator to convert to polar coordinates expressed in degrees. Roundall values…

A: To determine the value of r, substitute 5 for x and 8 for y in the formula r=x2+y2, and simplify.…

Q: Convert the polar coordinate (5, 5pi/4), to a rectangular coordinate

A: The given polar coordinates is  (5, 5π/4)

Q: Convert the Cartésian coordinate to polar coordinates, 2T, r > U. No decimal entries and answer may…

A: Follow the procedure given below.