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) + 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.

 

Mathematics Homework Help

 
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