1. Math
  2. Advanced Math
  3. 8 let r s be real let ...

Question: 8 let r s be real let ...

Question details

8. Let r, s, θ, φ be real. Let , r(cos θ + i sin θ) s(cos φ + i sin φ) z Form the product zw and use the standard formulas for cos(e+ φ), sin(9 +)to show that arg(zw) = arg(z) + arg(w) (for any values of arg on the right, and som value of arg on the left). By induction on n, derive De Moivres Theorem (cos θ + i sin θ)-cos ηθ + i sin nθ for all natural numbers n.
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution