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If sinx+cosx=sqrt(y+1/y), y gt 0, x in[0...

If `sinx+cosx=sqrt(y+1/y), y gt 0, x in[0,pi]`, then find the least value of x satisfying the given conditions.

A

`x=pi/4`

B

y=0

C

y=2

D

`x=frac(3pi)(4)`

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