Mathematics Homework Help
Mathematics Homework Help. Prove that xy = rt(cos(u+v) + i sin(u+v))
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.