4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the following equation from Polar coordinates to Cartesian coordinates: a) r = 2 నా | &

Q: Write in Polar form: r(cosθ+isinθ)r(cosθ+isinθ). (0≤θ<2π0≤θ<2π and round to 3 decimal places)…

A: Given:     z = 8 + 10i    0≤θ&lt;2π

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

A:

Q: Given that the point (22.2, 129.7) in polar coordinates, find its equivalent in the cartesian…

A:

Q: polar curves intersect at right angles.

A:

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: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 9 + 7i r = • 0…

A: The given complex number is: z=9+7i

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

A: Polar coordinates.

Q: Determine whether the statement " If x &gt; 0, then the point (x, y) on the rectangular coordinate…

A: Consider a point (x, y) on the rectangular coordinate system  Draw a line joining that point to the…

Q: 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal point. 17) Convert 640° to rectangular…

A: z=-15+8jpolar form of z :z=rcosθ+isinθ     r=x2+y2tanθ=yxz=-15+8j      -15,8    2nd quadrant…

Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

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: Convert the Cartesian coordinates (5,1) to polar coordinates with r>0 and 0≤θ<2π. r= √26   Enter…

A:

Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: Write in Polar form: r(cosθ+isinθ). (0≤θ<2π and round to 3 decimal places) 8+10i r= , θ=

A: The polar form of a complex number z=a+bi is z=r(cosθ+isinθ). where, r=|z|=a2+b2 , a=rcosθ  and…

Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

A:

Q: Convert the point (х, у, 2) — (— 4, — 2, 2) to - spherical coordinates. Give answers as positive…

A:

Q: 1. Convert (V3,-3) from rectangular to polar coordinates with r>0 and 0<0< 2r. Give exact values for…

A:

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

A:

Q: The Cartesian equation, x = 3, is equivalent to the polar equation, Or² = 3 cos 0 3 COS O r = r = 1…

A: We are given a Cartesian equation  x=3 and we have to which among the following is it's equivalent…

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) — 12 — Зі r =…

A: Given: -12-3i. The objective is to write the polar form.

Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: 23) convertthe Polar Coordinate (3,315) to rectaugular coondinate

A:

Q: Convert to polar coordinates with r ≥ 0 and 0° ≤ θ < 360°.                                (-4 , 4…

A:

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: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) – 12 – 3i r = ,…

A:

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

A: See the details solution in below

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

A:

Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

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

A: See the attachment

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Given is the cartesian equation x=4. The objective is to write the equivalent polar equation. In…

Q: The point specified by the polar coordinates (7.00, 35.0°) is following when converted to Cartesian…

A: Calculating the cos and sin theta  cos(35o) = 0.81915sin(35o) =0.5736

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

A:

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

A: Answer is mentioned below

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

A:

Q: Find the lengths of the curves given by the polar coordinate equations r = 2 sin θ + 2 cos θ, 0 ≤ θ…

A: Given: r=2sinθ+2cosθ; 0≤θ≤π2 for finding length of curve given by the given polar equation, first we…

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 4 – 16i r = ,0…

A: The given number -4-16i

Q: Express in true polar form, z = 5(cos 55° -j sin 55°)

A: We have to express in true polar form z=5cos55°-jsin55°.

Q: 2 Given polar equation is r =- 2+3 cos 0

A: NOTE: Refresh your page if you can't see any equations. . the relation between polar and rectangular…

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

A:

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

A:

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: The cartesian coordinate of the polar coordinate (1, ), will be Select one: O (1, 0) O (0, -1) O…

A:

Q: If z = 3 (cos 15° + j sin 15°), find z* in polar form. (Express the argument in de- grees.)

A:

Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

A:

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) 19 – 4i r = .0 =

A:

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

A:

Q: 6 Rewrite the polar equation r = as a Cartesian equation (rectangular) 1 – sin(0)

A: We have the relation between polar coordinates and rectangular coordinates as x=rcosθy=rsinθ

Q: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

A: