Write the polar form of the complex number and perform the indicated operation. (√3+i)(1+i)

Question

Check your answer by performing the indicated operation using the standard form and comparing the results.

Answer 1

z₁ = √3 + i

r₁ = 2

arctan 1/√3 = π/6

θ₁= π/6

z₂ = 1 + i

r₂ = √2

arctan 1 = π/2

θ₂ = π/2

(z₁)(z₂) = (r₁)(r₂)[cos (θ₁ + θ₂) + i sin (θ₁ + θ₂)]

Can you substitute values and answer?