Geometrically prove the first 2 equations to convert polar to cartesian and algebrebraically then prove the last two equations converting cartesian to polar. (geometrically prove these formulas are true)  x= r cos theta  y= r sin theta

Q: Q-3 a-Change the polar equation 5r =sin(0) to Cartesian equation (an equation that only contains x…

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of theta. x^2 + (…

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Q: The rectangular coordinates of a point are (-3 square root of 2/ 2, 3 square root of 2/ 2) Find the…

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Q: Convert the polar equation to a rectangular equation. 5. %3D 1- cos 0 Simplify the rectangular…

A: solution  y^2-10x-25=0

Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line…

A: Explanation of the answer is as follows

Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line 0 =…

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A: Given (x,y) = (-⟌3 , -1) Then r= ⟌(x2+y2)              =⟌(3+1)              r=2    a= π+…

Q: Plot the point given in polar coordinates. (6, 5) 2- 37 6 Find three additional polar…

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Q: Find the polar coordinate for (-1, √3) where r>0 and 0≤Ø<2π

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Q: Test for symmetry with respect to the line 0 = 7/2, the polar axis, and the pole. (Select all that…

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Q: (a) Convert the polar equation r = 4 sin 0 to rectangular form. (b) Convert the rectangular equation…

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Q: B/Test the symmetric of polar equations: 1- r= 1+5 cos 0 2- r= 3 sin 0

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Q: Plot the point given in polar coordinates. (-8,2pi/3) Find three additional polar representations…

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Q: r = 2 cos 0 – sin 0 by the equivalent Cartesian Replace the polar equation equation. Then describe…

A: Polar coordinates transformation to Cartesian coordinates

Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line 0 =,…

A: The given equation is r=8cosθcscθ. Test for symmetric with respect to the polar axis: Substitute…

Q: cos(0) Rewrite the polar equation in Cartesian (rectangular) form. Enter your answer as an -…

A: r=cos(θ)-3(sin(θ))2-3r(sin(θ))2=cos(θ)multiply r both…

Q: TRUE OR FALSE. The polar equations r = cos 3θ -2 and r = 2-cos 3θ represent the same graph.

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Q: Test for symmetry and graph polar equation

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Q: est for symmetry with respect to the line  θ = π/2,  the polar axis, and the pole. (Select all that…

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Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line 8 = I.…

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Q: 10. Transform the polar equation to an equation in rectangular coordinates. Then identify the…

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Q: Polar coordinates of the point (1, √3) in Cartesian coordinates. Which of the following is the…

A: Using formula of conversion from Cartesian to polar coordinates.

Q: (1) Convert the polar equation 6 = should be in y = form (2) Convert the rectangular equation 2xy =…

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Q: 6. Evaluate and simplify sec(3 – j5) · csc(2 + j4) cot(5 – j2) 7. Evaluate and simplify in polar…

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Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

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Q: Quéstion Write polar form of z=-2-i 5(cos2.68- i sin2.68) 5 (cos2.68+i sin2.68) 5 (cos2.68 – i…

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Q: Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

A: Here, the given polar point is: -2,2π3

Q: Find zw. Leave your answer in polar form. z=10 (cos 30 degrees + i sin 30 degrees) w= 5 (cos 1o…

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Q: a) Plot the point that has the given polar coordinates. (−5, 0)   b) Give two other polar…

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Q: Q1 Find the polar coordinates of the Cartesian point (1,1) Q2 Express the function r = 4 tan 0 sec 0…

A: Since you have posted multiple question..so I have to give you the solution of first two only…

Q: Test for symmetry and graph polar equation 5. r cos 0 = -3 п 2л 5л 3 Check for symmetry polar axis…

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Q: 10.2.17 Express the polar coordinates 3,3in Cartesian coordinates What is the point in rectangular…

A: Given Polar Coordinate is:

Q: 10.2.19 Express the polar coordinates「 in Cartesian coordinates What is the point in rectangular…

A: To express the polar coordinates   in Cartesian (rectangular) coordinates

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. (make it as an…

A: Given:  Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0

Q: (1+i)^2(4+i)/(3-i) change in to polar form and than find magnitude real and imaginary part

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Q: Test for symmetry with respect to the line 0 = 1/2, the polar axis, and the pole. (Select all that…

A: Given polar curve: r=6+4cosθ We have to test the symmetric of the given polar curve.

Q: Test for symmetry about pole, polar axis, and the line theta = pi/2 r^2=2 sin 3 theta ( show work)

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Q: Convert the polar coordinates (3, 2) to Cartesian coordinates. (3, 0) (0, 3)

A: Given: (3,2)

Q: Use a graphing utility to graph the polar equation. common interior of r = 4 - 2 sin(0) and r = -4 +…

A: Given polar equation is : r=4-2sinθr=-4+2sinθ

Q: Suppose that P = (x, y) has polar coordinates (Enter all angles in radians.) (a) P = (x, y) (Give…

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Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

A: This question can be solved using the concept of polar coordinates of a point.

Q: a) -7root2-i7root2 convert to polar form  b) 3+2i convert to polar form in EXACT values. NOT…

A: The cartesian form of the complex number is given as  z = x +iy And  Polar form is given by  z =…

Q: 2) If z = -1 + √3i 2 2π 3 || then the angle 0 in polar form 0 True False O

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Q: Test for symmetry with respect to the line 0 = 1/2, the polar axis, and the pole. (Select all that…

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Q: Example: Replace the following polar equations by equivalent Cartesian equations and identify their…

A: Cartesian coordinates (x,y) can be converted to polar coordinates using the relation given by;

Q: b) Change the equation from polar form tao rectangular form. 2 1- cos0

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Q: What is the polar form of the equation? x2 +y = 3x r = -4 sin 0-6 cos 0 r = 3 cos 0 r 4 cos 0 +6 sin…

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Q: 5 Graph r=5-5 sin0, r=7-6cos 0, and r=2+4cos0 on the same axis system. (polar)

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