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Prove that period of function f(x)=sinx,...

Prove that period of function `f(x)=sinx, x in R " is " 2pi.`

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To prove that the period of the function \( f(x) = \sin x \) is \( 2\pi \), we will follow these steps: ### Step 1: Define the Period Let's assume that the period of the function \( f(x) = \sin x \) is \( t \). By definition of periodic functions, this means that: \[ f(x + t) = f(x) \quad \text{for all } x \in \mathbb{R} \] ...
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