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## Homework Statement

Is f(x) = cos^2(x) + sin^2(x) a periodic function?

## Homework Equations

sin^2(x) + cos^2(x) = 1

## The Attempt at a Solution

This question is just something that randomly came to my mind (not a hw problem). I know cos^2(x) and sin^2(x) are both periodic functions, but is sin^2(x) + cos^2(x) a periodic function too? If so, what would be its fundamental frequency?