Homework SourseUse DeMoivres Theroem to find 5cos pi3 i sin pi34 Then expr
Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3)]^4. Then express the result in standard form.
Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3)]^4. Then express the result in standard form.
Solution
given
[5(cos pi/3 + i sin pi/3)]^4
use cis to represent cos(x) + isin(x)
=[5 cis(pi/3)]^4
=5^4 cis(4pi/3)
=625 cis(4pi/3)
![Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3)]^4. Then express the result in standard form. Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3](/WebImages/2/use-demoivres-theroem-to-find-5cos-pi3-i-sin-pi34-then-expr-965178-1761498837-0.webp "Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3)]^4. Then express the result in standard form. Use DeMoivre\'s Theroem to find [5(cos pi/3 + i sin pi/3")
