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Question

Solve for x: If [sin1cos1sin1tan1x]=1 where[.] denotes the greatest integer function.

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Solution

sin1x+sin1y+sin1z=32
we know sin1xπ2
sin1x+sin1y+sin1zπ32
and this holds only when x=y=z=1
x2000+y2001+y20029x2000+y2001+z2002
1+1+191+1+1 =33=0


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