Inactive Tutor answered 05/10/21
Tutor
New to Wyzant
2161/3 = 6
cis(x) = eix
(eix)1/3 = eix/3 = cis(x/3)
(216cis(π/2)1/3 = 6cis(π/6) = 6(cos(π/6) + isin(π/6) = 6(√3/2 + i/2) = 3√3+3i
Mallory P.
asked 05/10/21Find the cube roots of the following:
Inactive Tutor answered 05/10/21
2161/3 = 6
cis(x) = eix
(eix)1/3 = eix/3 = cis(x/3)
(216cis(π/2)1/3 = 6cis(π/6) = 6(cos(π/6) + isin(π/6) = 6(√3/2 + i/2) = 3√3+3i
Get a free answer to a quick problem.
Most questions answered within 4 hours.
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.