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## Homework Statement

If a and theta are real numbers such that x + 1/x = 2cos(theta), then:

x^n +1/x^n = 2cos(n*theta)

## Homework Equations

x + 1/x = 2cos(theta)

## The Attempt at a Solution

So I was able to show that the statement was true for n=1, but I'm stuck on how to even start proving it for n+1. I tried x^(n+1) + 1/x^(n+1), thinking I could solve it for n+1, but to no avail. Help, please?