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If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)...

If `0ltxlt(pi)/(2)` exp `[(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log_(e)2]` satisfies the quadratic equation `x^(2)-9x+8=0`, find the value of `(sinx-cosx)/(sinx+cosx)`.

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