Use DeMoivre's Theorem to find the power of the complex number. Write the result in standard form.

Question:

Use DeMoivre's Theorem to find the power of the complex number. Write the result in standard form.
1. [5(cos 20° + i sin 20°)]3
2. [3(cos 60° + i sin 60°)]4
3. (cos π / 4 + i sin π / 4)12

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Algebra and Trigonometry

ISBN: 978-1337271172

10th edition

Authors: Ron Larson

See More Books

Question Posted: Feb 14, 2018 03:33 AM

See More Questions

In problem, use the Remainder Theorem to find the remainder when f(x) is divided by x - c. Then use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = -4x 3 + 5x 2 + 8; x + 3
In problem, use the Remainder Theorem to find the remainder when f(x) is divided by x - c. Then use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = 4x 4 - 15x 2 - 4; x - 2
In problem, use the Remainder Theorem to find the remainder when f(x) is divided by x - c. Then use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = 3x 6 + 82x 3 + 27; x + 3
What are the "two main lines" of distortion of the view of Marx and what does Lenin think the proper view?
Rescue your friend (mass 65.0 kg) is standing on the ice in the middle of a frozen pond. There is very little friction between her feet and the ice, so she is unable to walk. Fortunately, a light...
_______________ is the study of the allocation of scarce resources, _______________ is devoted to the study of these decisions of allocation by small or individual entities, and _______________...
Compare distributed databases to database servers.
The following letter was sent to the SEC and the FASB by leaders of the business community. Dear Sirs: The FASB has been struggling with accounting for derivatives and hedging for many years. The...
Consider the following graph. 3 6 8 Specify the degree of each vertex: vertex 1 degree 2 9 10 3 4 5 6 7 8 9 Apply the sequential coloring heuristic to obtain a proper coloring of this graph. Use...
You are in charge of analyzing five new suppliers of an important raw material and have been given the information shown below (1 = worst, 10 = best). Management has decided that criteria 2 and 3 are...
Find the product in the complex plane. 1. 2. 2 2 3 + i sin 3 + i sin 21 cos cos 3 3 + i sin 21 cos 4 3 cos cos 4 -+ i sin
Represent the powers z, z2, z3, and z4 graphically. Describe the pattern. z = 2 / 2 (1 + i)
Consider again the conditions of Exercise 5. Explain how to change the numbers in Table 10.47 in such a way that each row total and each column total remains unchanged, but the value of the 2 test...
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. Some state statutes provide that property acquired before a marriage is the community...
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. Title to abandoned property resides with the state.
Refer to the chapter opener regarding Neha Assar and her company, Neha Assar. All successful businesses track their costs, and it is especially important for start-up businesses to monitor and...
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. A fi nder of personal property has a responsibility to try to return the property to the...
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. There is no distinction between lost and mislaid personal property.
The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x 1 , x 2 , x 3 , x 4 as variables....
Velshi Printers has contracts to complete weekly supplements required by fortysix customers. For the year 2018, manufacturing overhead cost estimates total $600,000 for an annual production capacity...
In Exercises analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. y = r5 5r 5x
In Exercises analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. y = - 2x4 + 3x
In Exercises analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. y = 3x4 + 4x -
Write a method (pseudocode) to reverse the queue using another empty queue. You may only use queue operations such as enqueue(), dequeue(), and size(). No other data structure can be used other than...
Solve the recurrence relation an = 7an-18an-2-9.2", with initial conditions ao = 5, a = 10. Show all your work.
Write an assembly language program that asks the user to enter an integer dollar amount between 1 and 3,000. Your program should display the corresponding class description using the following table....

Use DeMoivre's Theorem to find the power of the complex number. Write the result in standard form.

Question:

Step by Step Answer:

1 5cos 20 i sin 20 3 5 3 cos 60 o i sin 6...View the full answer

Algebra and Trigonometry

Students also viewed these Calculus questions