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Write the function f(x) ={sinx} where {....

Write the function `f(x) ={sinx}` where {.} denotes the fractional part function) in piecewise definition.

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To express the function \( f(x) = \{ \sin x \} \) (where \(\{ \cdot \}\) denotes the fractional part function) in a piecewise definition, we need to analyze the behavior of the sine function and how the fractional part is defined. ### Step-by-Step Solution: 1. **Understand the Fractional Part Function**: The fractional part function \(\{y\}\) is defined as: \[ \{y\} = y - \lfloor y \rfloor ...
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