Find z1z2 in polar form. Z1 = 9 ( cos +i sin 22 = 6 +i sin 4

Q: Find z1z2 in polar form. 21 = 3 cos +i sin 22 = 4 +i sin ((늘)에

A: The objective is to find z1z2 in polar form.

Q: 5. Convert the given functions into the desired coordinates. (a) 2x-5x³=1+xy into polar coordinates,…

A: Solution of this question is :

Q: Express the complex number z = –12i in polar form r cis 0. %3D Select the correct answer below: 6…

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Q: Match the graph with its polar equation. r = 2 sin(0) 1/2 A/2 4 -2 -2 A/2 3- A/2 -1 1 2 4 -2 -1 1 2…

A: Topic :- Geometry Corect Answer= 3 r=2sinθr    θ0    01    π62     π20       π

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: (4230°)² 3. - (6 – 4i)“. Express your answer in polar form. - (2cis60°)³

A: Given: 4∠30°22cis60°3-6-4i2 To express: Given complex number in polar form.

Q: The polar equation 9 cos 0 +2 sin0 = in Cartesian form is defined by I Y A. C. 9x +2y=1 +/-/22 - 1 9…

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Q: Find z1z2 in polar form.  z1= 3(cos(pi/2)+ i sin(pi/2)) ; z2 = 9(cos(pi/4)+ i sin(pi/4))

A: z1=3cosπ2+isinπ2,  z2=9cosπ4+isinπ4

Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: 9. Find other polar coordinates (r,) of the point in polar form given by (3,) for which r <0 and -2π…

A: answer is in next step . please give a like!!

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

Q: 10. Write –v2 + iv2 in polar form r(cos 8 +i sin 8) where r is exact and 0 so s 2n|

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Q: Find zw and z/w, Leave your answers in polar form.

A: Given the complex numbers  z=2(cos5π3+isin5π3)w=3(cosπ3+isinπ3)

Q: The polar form Z = 2V3- 2i is Z = 4(cos + isin- 11m O true

A: The given complex form is Z=23-2i

Q: 6. O Convert the quation aty z+y froui cartesian to polar (10 P.) (u) Convert the equation r - 2 sme…

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Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: 14. Restate -4x = -5y in polar form. Present your answer solved for r.

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Q: Find the equation of the following polar graph: 10 5- -10 -5 5n 10 -10 - a) Or = 2+4 cos(e) b) Or=…

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Q: 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

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Q: Find the product z1z2 and the quotient -. Express your answers in polar form. Z2 24 - + i si()), -…

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Q: Find 1 in polar form. Z2 -BV5 (cos(T)+i sin(m); 22 = V cos +i sin

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Q: find the quotient z1 / z2 in polar form where z1 and z2 are given below.  z = 24 [ cos ( 125° )] +…

A: We have to find polar form

Q: 2. Represent z = 3 – 3i in polar form.

A: As we know that; The polar form for the complex number z=x+iy is: z=rcosθ+isinθ  .....(1) Where;…

Q: Find zw and Leave your answers in polar form. W Z = 2( cos 130° + i sin 130°) W = 4(cos 290° + i sin…

A: We will use the…

Q: Graph z = 4 ( cos +i sin-) on a polar grid. Then express it in rectangular fo COS- 3 12 Y 12 6 12 12…

A: Topic:- coordinate system

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: 5. If z = 2(cos 25° +j sin 25°), find z in polar form.

A: It is simple calculation in polar form

Q: Express z 13+ V3i in polar form. Find the value of z if e =1.

A: Complex number in polar coordinate is given as:  z=reiθWhere r=x2+y2   θ=tan-1yx Given complex…

Q: (4Z30°)² 3. - (6 – 4i)². Express your answer in polar form. - (2cis60°)³

A: Given that: (4∠30°)2(2cis60°)3-(6-4i)2

Q: 9. 1.7e1.2-/2.5 into polar form Ans.

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

Q: Express z = V3 + V3i in polar form.

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Find zw and W Leave your answers in polar form. - TC TO Z= 6 cos + i sin 11 11 TO W = 6| cos COS + i…

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Q: Find z,z2 in polar form. 21 = 2 (co여(플) +i sin(플)); 22 =4( cos +i

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Q: Find z1z2 in polar form. = 4 (cos(140°)+i sin(140°)); z2 = (cos cos(40°)+i sin(40°) Z1

A: We use the fact that  Cost+ i Sint = eit

Q: Convert the rectangular equation x² + y² – 2x = 0 to polar form. Have your equation begin with “r ="…

A: Explained below

Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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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 z (22 + 0 ) + 4i and = -6 – (8 +0)i. Find w and write it in polar form

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Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: Evaluate z and express the final answer in polar form b. (5 - j7) (4235)- 6e-7 Z = 5(cos 30' +j sin…

A: Given:              z=5-j74∠35°-6e-j75cos30°+jsin30° To do: Simplify and express z in polar form.

Q: 2.- Find the value in polar form of the following expressions а) ei1 b) e1-j1

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Q: Find the two square roots of z (call them wi and w2) and express in complex polar form r(cos(0) + i…

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Q: Find the product z1 z2, expressed in polar form, if: 2; = cos +isin 2 co0 + isin = cos 12 12

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Q: 3.3. Show that in a polar coordinate system, the distance d between the points (r1,01) and (r2, 02)…

A: The distance between r1,θ1 and  r2,θ2 is d=r12+r22-2r1r2cos θ1-θ2

Q: sinh (0.346 –j0.548) express in polar form

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Q: Q2. Discuss the symmetry and plot the polar equation r 2-3 sin 0.

A: Given- r=2-3sinθ To find- The symmetry and plot the above polar equation.

Q: Perform the given polar form into rectangular form complex number. 10 1+jv3 1-jv3,

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Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.