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Find the value of t which satisfies (t-...

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

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(t-[|sin x |])!=3! 5! 7!
If `x=n pi+(pi)/(2) (n in I)`
then `(t-1)!=(3xx2)xx(5xx4xx3xx2)xx7!`
or` (t-1)!=10xx9xx8xx7!=10!`
or t-1=10
or t=11
If `x ne n pi+(pi)/(2) (n in I)`, then (t-0)!=10! Or t=10
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