- #1
guildmage
- 25
- 0
Homework Statement
I want to show that
[tex] \exp \left( i\bar{z} \right) = \overline{\exp \left( iz \right)} [/tex]
if and only if
[tex] z = n\pi [/tex]
for any integer n.
Homework Equations
The Attempt at a Solution
Utilizing Euler's formula, I got
[tex] \cos \bar{z} = \cos z [/tex]
and
[tex] \sin \bar{z} = -\sin z [/tex]
Though not fully convinced, I concluded that
[tex] \bar{z} = z [/tex]
This then led me to
[tex] \sin z = 0 [/tex]
This obviously led me to the needed conclusion. But was I correct?