Find the product of the complex numbers. Leave your answer in polar form.z, = 2( cos 45° + i sin 45°)Z, = 6( cos 70° + i sin 70°)2,22 =(cos+ i sin)(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answered: Image /qna-images/answer/5d6ec85b-90fb-4016-b855-a7f83ca2bd7b.jpg

Find the product of the complex numbers. Leave your answer in polar form. z, = 2( cos 45° + i sin 45°) Z, = 6( cos 70° + i sin 70°) cos + i sin ) (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Find the product of the complex numbers. Leave your answer in polar form. z, = 2( cos 45° + i sin 45°) Z, = 6( cos 70° + i sin 70°) cos + i sin ) (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CR: Chapter Review

Problem 5CC: a How do we express the complex number z in polar form? b Express z=3i in polar form.

See similar textbooks

Related questions

Q: From an initial population of No, it grew to 35 individuals after 5 years. After 17 more years, the…

Q: Half-Life 19.8 days Decay Rate, k

Q: 18. A cone has a height of 90 cm and a radius as shown. Find the volume. Use 3.14 for pi and round…

A: Use volume formula of cone

Q: The radius of an inscribed circle is a perpendicular line segment from the incenter to any one side…

A: This question is related to Triangles, we will solve it using given information.

Q: The graph of the function y=f(x−95) can be obtained from the graph of y=f(x) by one of the following…

A: The parent function is y=f(x) The transformed function is y=f(x-95)

Q: Give the first 4 terms of the geometric sequence with a = 1 and r = 6. Give your answers as reduced…

Q: Find the inverse of y= e

A: First swap x and y Then solve for y Y is the inverse of function

Q: If mZL = 51, what is the measure of ZG?

A: As per our guidelines, I can answer only one question. Since you have asked for multiple, so I did…

Q: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

Q: Capital Expansion McJester's Burger Hut plans to expand by opening several new restaurants. The…

Q: Solve the quadratic equation by completing the square. -18x+71=0 First, choose the appropriate form…

A: Here we can provide the answer in the following steps.

Q: -3/ (7+ -4) + -3

Q: O POLYNOMIAL AND RATIONAL FUNCTIONS Finding a polynomial of a given degree with given zeros: Real.…

A: zeros:-8, 0, 6, 3, 5Zeros can be written in factored form as:(x+8)x(x-6)(x-3)(x-5)All roots are…

Q: Consider the following sequence: 5184, - 2592, 1296, ... a. What type of sequence is the above? b.…

A: The given sequence, 5184, -2592, 1296,.......

Q: Complete the table shown to the right for the half-Kife of a certain radioactive substance.…

A: Consider the radioactive decay function, At=A0e-kt Where, At represents the amount of substance left…

Q: A tree casts a shadow x = 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long.…

Q: Find the inverse Laplace of the following: 8. 1.

A: According to company rules, I need to solve first question when multiple questions are posted.

Q: 1 7 -2 14 0 The null space for the matrix 3 0 1 -2 3 6 1 -1 0 4 is span{A,B} where

A: Here, the given matrix is: A=17-214301-261-10034

Q: Which of the following is 1 the inverse of f(x)=-x+8? f-"(x)= 2x +16 Option 1 f'(x)= 2x – 4 Option 2…

A: We have to find inverse function

Q: 22. Consider the following set of orthogonal vectors, Vị = (1, –1, 2, –1), v2 = (-2,2, 3, 2), v3 =…

Q: What principal will have a future value of $7942.35 at simple interest rate of 7.3% in three months?…

Q: Which of the following can be an equation of a polynomial with a r multiplicity 2 at x = -3 and a…

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. O…

A: Given:

Q: 3. How are the variables related on the graph? A. as speed decreases, height stay constant B. as…

A: The given graph is:

Q: 2 ex Find the absolute minimum value on (0,00) for f(x) = %3D Select the correct choice below and,…

Q: Let f(x) = 5x² – 9x + 11 %3D f(x+h)-f(x) Find and simplify your answer completely. h

A: Given function is f(x) =5x2-9x+11 We have to find f(x+h)-f(x)h and simplify.

Q: Use the exponential decay model, A = A, e kt, to solve the following. The half-life of a certain…

Q: 15. Convert from degrees to radians. Use T = 3.14. Round your answer to three decimal places. 120° =…

Q: Question 7: Add or subtract the following a. 6/7+4/7 b. 82 – 7XV2 + 5 V2 -

Q: The following are the distances (in miles) to the nearest airport for 13 families. 8, 12, 13, 15,…

Q: The manager of Joe's Burgers discovers that he will sell the other hand, he can afford to make 6z +…

A: Given demand function and supply function.

Q: How can you tell if a function is quadratic?

Q: O Expend the brackets (distribute) (x++)(x-) =

Q: 19. Use a graphing or scientific calculator and the law of sines to find the missing angle to the…

Q: Find the nth term of the geometric sequence whose initial term is aj = 4.5 and common ratio is 4. an…

Q: Find the limit of each using algebraic techniques. Show all of your steps. x -1 1. lim r+1 x+1 2x…

Q: 口 12. Solve the problem. Use sin =1 and sin Given z = Use the formula cos = 1- sin z to find cos 2 4…

Q: Consider A (0, 5, –1), B = (6, –1, 0) and C = (-4,0, 3). 1 A +B. 3 (i) Find the unit vector having…

A: In this question we have to draw vector.

Q: 17. The diagram shows a cylinder that is partially filled with water. Find the volume of the portion…

Q: Let S = {a, b,f, g, i, k, m, q, t} . (1) How many subset of S have exactly 3 elements? (2) How many…

Q: There are infinitely many secant lines from an exterior point to a circle. True or False? O True O…

Q: Given the geometric sequence: -4, -2, -1, -1/2, . A) Find the formula for the nth term, an B) Find…

A: Infinite geometric sequence : Consider the infinite geometric sequence a ,ar , ar2 ,ar3…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 1 and common ratio is 5. an =…

A: Given; a1=1 and common ratio =5.

Q: ind a basis for the column space of -1 -1 0 -4 2 A = 3 -3 -2 -2 0 6 Sasis =

Q: Identify the congruence statement that proves both triangles below to be congruent. O SAS congruency…

Q: 7. 1 3 4х х+3 8. бх 10y х-1 х-1 8y - x 5. x* - бху - 16у

Q: Solve the inequality algebraically. (x-4)(x-5)(x-6) > 0 ... List the intervals and sign in each…

Q: Find the limit of each using algebraic techniques. Show all of your steps. x-3 3. lim 1 x -9 4. lim…

A: Topic:- limit calculation

Q: Graph the function f(x)=x after it has been vertically shifted −4 units.

Question

Find the product of the complex numbers. Leave your answer in polar form.
z, = 2( cos 45° + i sin 45°)
Z, = 6( cos 70° + i sin 70°)
2,22 =(cos+ i sin)
(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

a How do we express the complex number z in polar form? b Express z=3i in polar form.
(a) The complex conjugate of 3+4i is 3+4i = ______________. (b) (3+4i)(3+4i) = ________________.

Recommended textbooks for you

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning