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MATH / The functions sin(x) and cos(x) are periodic with least period 2π. What is the least period of the function cos(sin(x))?

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problem

The functions sin(x)\sin(x) and cos(x)\cos(x) are periodic with least period 2π2\pi. What is the least period of the function cos(sin(x))\cos(\sin(x))?
Plain-text mathematical notation (without MathML)
The functions sin(x) and cos(x) are periodic with least period 2π. What is the least period of the function cos(sin(x))?
Original LaTeX notation
The functions $\sin(x)$ and $\cos(x)$ are periodic with least period $2\pi$. What is the least period of the function $\cos(\sin(x))$?

level

Level 2

type

Precalculus

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