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 π / 12 + i sin π / 12)]4
2. [2 (cos 4π / 15 + i sin 4π / 15)]5

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 03:34 AM

See More Questions

Let CR be the circle of radius R centered at the origin. Use Green's Theorem to find the value of R that maximizes y3 dx + dy.
Use Greens Theorem to find the work done by the force F(x, y) = x(x + y) i + xy 2 j in moving a particle from the origin along the x-axis to (1, 0), then along the line segment to (0, 1), and then...
In Exercises 1-3, find either the nullity or the rank of T and then use the Rank Theorem to find the other. 1. T: M22 R2 defined by 2. T: P2 R2 defined by 3. T: M22 M22 defined by T(A) = AB, where...
The summary of financial statements for division A is given below. Statement of Financial Position Statement of Profit or Loss RM'000 RM'000 Non-current assets 1,500 Revenue 4,000 Current assets 600...
Proton Bombardment A proton with mass 1.67 X 10-27 kg is propelled at an initial speed of 3.00 X 105 m/s directly toward a uranium nucleus 5.00 m away. The proton is repelled by the uranium nucleus...
You just won some money in the lottery and would like to save a portion of it so that you will have $50,000 to put a down payment on a house in five years. Your bank pays a 5% rate of interest. How...
Explain parameters and return values in the framework of messages. Provide examples.
On June 15, 2019, Nicole Snobelen, owner of Evelynn by Nicole Snobelen (Evelynn), had just been informed that a location at The Market in the Western Fair District (The Market) had become available...
A multiple series dilution was performed. The sample was diluted 1/5, ,, . 25. Draw the dilution using tubes as explained in the learning module. 26. Given the diagram in the above question, what is...
A speculator enters a futures contract for September 19th delivery on February 2nd. The contract is for 62,500. The futures exchange rate is $1.65 per pound. He believes that the spot rate for pounds...
Find the quotient. Leave the result in trigonometric form. 1. 2(cos 60 + i sin 60) / 3(cos 15 + i sin 15) 2. cos 150 + i sin 150 / 2(cos 50 + i sin 50)
(a) find the roots of the complex number, (b) write each of the roots in standard form (c) represent each of the roots graphically. 1. Sixth roots of 729i 2. Fourth roots of 256i
Perform the indicated operation and reduce your answer to lowest terms. 1/30 - 3/40 - 7/50
How are test scripts used in the benchmarking of the program?
What are the three areas of systems development knowledge suggested in the textbook that are important to system support?
It is common practice for programmers to create continuous test - and - loop code in order to poll I/O devices or wait for interrupts to occur. Some processors provide an instruction ( WAIT or HALT )...
What special problems do super pipelined and superscalar architectures pose for real - time system designers? Are they any different for nonreal - time systems?
What are some of the tasks suggested in technical support?
Write the system of equations corresponding to each augmented matrix. Then perform the indicated row operation(s) on the given augmented matrix. 1 -3 2 R2 = -2r + r2 -6 R3 = 3r1 + r3 2 -5 3 -4 -3 -6 4
Highland Theatre is owned by Finnean Ferguson. At June 30, 2014, the ledger showed the following: Cash, $6,000; Land, $100,000; Buildings, $80,000; Equipment, $25,000; Accounts Payable, $5,000;...
An industrial tank of the shape described in Exercise 33 must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the...
Exercises present problems similar to exercises from the previous sections of this chapter. In each case, use Newtons Method to approximate the solution. The concentration C of a chemical in the...
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the...
1). The Electronic Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and...
After reviewing oceanview marine company's case materials, and reviewing the unaudited account balances, what is your preliminary view on the client's ability to continue as a going concern? What is...
For each chemical reaction listed in the table below, decide whether the highlighted atom is being oxidized or reduced. reaction highlighted atom is being... neither oxidized reduced oxidized nor...

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

Question:

Step by Step Answer:

1 5 cos 12 i sin 12 4 5 4 cos 4 12 i sin ...View the full answer

Algebra and Trigonometry

Students also viewed these Calculus questions