Find the value of `t` which satisfies `(t-[|sin x|])! = 3!5!7! w h e r e[dot]` denotes the greatest integer function.

Explanation

To find the value of \( t \) that satisfies the equation

\[ (t - [|\sin x|])! = 3! \cdot 5! \cdot 7! \]

where \([ \cdot ]\) denotes the greatest integer function, we will follow these steps:

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