- #1

Mentallic

Homework Helper

- 3,798

- 94

## Main Question or Discussion Point

I want to express

[tex]...-2\pi+\theta,\theta, 2\pi-\theta, 2\pi+\theta, 4\pi-\theta...[/tex]

in terms of a variable integer k.

e.g. ...-x,0,x, 2x, 3x... = kx, k E Z

So I was thinking expressing it as so: [tex]2k\pi \pm \theta[/tex]

but I believe it can be expressed in another way to avoid the [itex]\pm[/itex], using (-1)

How can this be done?

[tex]...-2\pi+\theta,\theta, 2\pi-\theta, 2\pi+\theta, 4\pi-\theta...[/tex]

in terms of a variable integer k.

e.g. ...-x,0,x, 2x, 3x... = kx, k E Z

So I was thinking expressing it as so: [tex]2k\pi \pm \theta[/tex]

but I believe it can be expressed in another way to avoid the [itex]\pm[/itex], using (-1)

^{k}somehow.How can this be done?