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## Homework Statement

Prove by induction [tex]cos(6\theta)+isin(6\theta)=(cos\theta +isin\theta )^6[/tex] for all [tex]\theta[/tex]

## Homework Equations

by DeMoivres theorem, [tex](cos\theta +isin\theta )^n=cos(n\theta)+isin(n\theta)[/tex]

## The Attempt at a Solution

Well when I first looked at this problem I thought there was an error in the question because from what I know, induction has a flaw in that it can only prove for integers, not ALL values.

Anyway, so I need to prove:

[tex]cos6(k+1)+isin6(k+1)=(cos(k+1)+isin(k+1)) ^6[/tex]

Any help would be appreciated