Write in polar form (Hint: use DeMoivre's Theorem): 9. (cos(280°) + i sin(280°)) 1. (cos(185°) + i sin(185°)) · (cos( )) + ésin(

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: a) Reproduce the algebra required to convert this Cartesian equation to the polar form r = sin(20).…

A: Given the algebraic equation, (x2+y2)3=4x2y2 ⋯⋯(1) (a) Take x2+y2=r2, x=rcosθ, and y=rsinθ Then…

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: Find the area of the region in the polar coordinate plane . Enclosed by one leaf of the three-leaved…

A: The area of the region enclosed by one leaf of the three leaved rose between the origin and the…

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

A:

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: 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: 2. Convert the polar equation to rectangular form. Simplify your answer r?sec 0 = r?tan?0 sece -…

A: To convert the polar equation into rectangular form.

Q: True or False In the polar coordinates (r, θ), r can be negative.

A: Consider the following statement: " In Polar coordinates r,θ , r can be negative"  Determine the…

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: #2) Convert each of rectangular pair coordinates to polar coordinates where r> o and o 4o < Zx. part…

A:

Q: Draw the polar region {(r, θ): 1 ≤ r ≤ 2, 0 ≤ θ ≤ π/2}. Why is it called a polar rectangle?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the Cartesian coordinates of the point (given in polar coordinates). (5,tan-1 (4/3))

A: Known fact: The Cartesian coordinates of r, θ is given by x, y=rcosθ, rsinθ.

Q: Write in Polar form: *(cos e + z sin 8). i sin 0). (0 < 0 < 2n and round to 3 decimal places) - 17 +…

A: We have to find value of r and θ Consider ,z=-17+12iHere x=-17 and y=12 Here we will use the…

Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: 3) (2) 2 3 元16 2 " 11元 6 57元 6 3 2

A: We have to plot a given point in the graph.

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: If a point is represented as (x,y) in the Cartesian plane and (r,0) in the polar plane, then 0 = tan…

A: A point in cartesian plane is (x,y) and (r,θ) in the polar coordinate, then θ=tan-1yx.

Q: 2- Write two examples about converting from rectangular (x,y) to polar form(r.)

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: Convert the given Cartesian coordinates to polar coordinates with r > 0,0 ≤ theta ≤ 2pi. (−4, 6)

A: Polar coordinate

Q: 8. Convert the point ( ) from Cartesian to Polar a) (1,) c) a.) b) G d) (L,프)

A: Given query is to find the polar coordinates of the point.

Q: convert the rectangular point (-1, -sqroot3) to polar, where r is greater than or equal to 0 and 0…

A: We know that polar form of a rectangular point x,y is r,θ=x2+y2,tan-1yx. We have, Rectangular point…

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: Sketch the polar curve r = sin? 0.

A: We have given a curve; We have to plot the polar curve on;

Q: Q/Discuss the determine the area formula in polar coordinate with an example ?

A: Definition of Polar Coordinates Polar coordinates are a set of values that quantify the location of…

Q: 2. Convert the polar equation to rectangular form. Simplify your answer r2sec30 = r?tan?0 sec 0 –…

A:

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: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

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: 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: QI-Replace (x-2) y-4 to equivalent polar coordinate and sketch ir?

A: Since you have posted multiple question in this question which are not interlinked so I have solved…

Q: Does the origin lie on the polar curve r = 1 – 3cose ? Explain.

A: We will first plot the polar curve in the 2D (r,θ) plane with polar coordinates. We shall plot it…

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

A:

Q: Find polar Ir>0 and Os0<2T. Coordinates of the points such that

A:

Q: Express the polar equation r=2 sin 0 in cartesian coordirates.

A:

Q: Write the following point in polar coordinates (r,0) into Cartesian coordinates (x,y) -8,-

A:

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: Write in Polar form: r(cosθ+isinθ). 8+10i r=    , θ=

A:

Q: Write ti tan A in polar/trinometric form r(cos 0 + i sin 0) orrete or r 20. 1-i tan A

A: The complex number is of the form a+ib. The polar form for this complex number is rcosθ+isinθ, where…

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: Interpret the polar equation r = tanx secx geometrically.

A: Given  r = tan(x)sec(x)

Q: What is the polar equation of a circle of radius a centered at the origin? Use this equation to…

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: Convert the given Cartesian coordinates to polar coordinates with r > 0, 0 ≤ theta ? ≤ 2pi. (2, −3)

A:

Q: Convert the polar equation r cot 0 csc 0 to rectangular form.

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

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: Convert the polar equad-lon to rectungular form r "sec o =p? tan?o sece -ręcs EG

A: To convert the polar form into rectangular form

Q: converts from cartesian coordinates (x, y) to polar coordinates (r, theta).

A: To convert Cartesian coordinate of any point (x, y) to polar coordinate (r, θ) We will use x = r…