# Use the following to complete part B:

**Question description**

Use the following to complete part B:

• Let *x* = *r*(cos *u* + *i* sin *u*)

• Let *y* = *t*(cos *v* + *i* sin *v*)

Prove that xy = rt(cos(*u*+*v*) + *i *sin(*u*+*v*))

Provide a correct proof that includes written justification for each step showing the following:

1. The angle (or argument) of the product *xy* is (*u* + *v*).

2. The radius (or modulus) of the product *xy* is *rt*.

*Note: Show the computation of their product and rewrite using algebraic properties. Make sure to justify each and every step of your work by citing the property or law you are following.*

## Tutor Answer

**Quality**

**Communication**

**On Time**

**Value**

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors