Hi
I have tried r5( cos(5 theta) + i sin(5 theta) ) = r( cos(theta) +i sin(theta) ) but this lead to:
cos(5 theta) = cos (- theta) and i sin(5 theta) = i sin(-theta)
which is very difficult to solve without a calculator. Using the polar form results in similarly difficult equations.
Thanks
Homework Statement
The problem states that you need to solve the following equation (without a calculator) : z^5 = z̅
Homework Equations
z=a+bi and z̅=a-bi
The Attempt at a Solution
So far I've tried multiplying both sides by z̅: z̅ * z^5 = |z̅|^2...