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## Homework Statement

$$f(x)=sin2x+cos4x$$

## Homework Equations

## The Attempt at a Solution

$$The\quad period\quad of\quad sin2x\quad is\quad π.\quad The\quad period\quad of\quad cos4x\quad is\quad \frac { π }{ 2 } .\\ \\ What\quad is\quad the\quad period\quad of\quad f(x)?$$