1.4. Formulate solutions of the following problems using De Moivre's TheoremFind the 4th roots of 16=16. e¹o in polar form using De Moivre's Theorem.b. Calculate (1+√3i) using De Moivre's Theorem.Find the square roots of -4 using De Moivre's Theorem.

Step 1: Step 2: Step 3: Step 4:

Answered: 1.4. Formulate solutions of the…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section8.4: Roots Of A Complex Number

Problem 33PS: Find the five fifth roots of z=105cis15. Write each root in trigonometric form and then give a...

See similar textbooks

Question

1.4. Formulate solutions of the following problems using De Moivre's Theorem
Find the 4th roots of 16=16. e¹o in polar form using De Moivre's Theorem.
b. Calculate (1+√3i) using De Moivre's Theorem.
Find the square roots of -4 using De Moivre's Theorem.

Expert Solution

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the five fifth roots of z=105cis15. Write each root in trigonometric form and then give a decimal approximation, accurate to the nearest hundredth, for each one.
2. Do the following calculations (a) Write –V3 + i in polar form. (b) Find all 3rd roots of 8i. (c) Find ALL solutions of z2i = -1.
2. Write the following complex numbers in polar form. (a) 2', (b) e-i. 3. Prove the = e²-" where z and w are complex numbers. 4. Find all the roots of the equations below where z E C. (a) 2* = 1, (b) 5z² + 2z + 10 = 0.
Please don't provide hand written solution
c) d) e) What is |z₂|? What is z = 22 What is 2₁/22?
Please solve the following two problems.
Show complete and orderly solutions. Enclose final answers. 1.Express each in terms of i: (√32 + √-128) a. 4 3√√-8+√-8 b. 2 2. Perform the following operations: a. (-1 + i)8 1+i b. 3-i 3. Express in Polar/Trigonometric Form: a.7 - 5i b.√2-i√2 4.Express in Rectangular Form: a.6(cos180° + i sin180°) b.3(cos232° + i sin232⁰)

Recommended textbooks for you

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781337278461

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

1.4. Formulate solutions of the following problems using De Moivre's Theorem Find the 4th roots of 16=16. e¹o in polar form using De Moivre's Theorem. b. Calculate (1+√3i) using De Moivre's Theorem. Find the square roots of -4 using De Moivre's Theorem.